Vertical compression means the function is squished down vertically, so its shorter. A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis. If the constant is between 0 and 1, we get a horizontal stretch; if the constant is greater than 1, we get a horizontal compression of the function. Using Quadratic Functions to Model a Given Data Set or Situation, Absolute Value Graphs & Transformations | How to Graph Absolute Value. Recall the original function. That is, to use the expression listed above, the equation which takes a function f(x) and transforms it into the horizontally compressed function g(x), is given by. As a member, you'll also get unlimited access to over 84,000 Figure 4. It looks at how a and b affect the graph of f(x). [beautiful math coming please be patient] \end{align}[/latex]. To create a vertical stretch, compression, or reflection, the entire function needs to be multiplied by a. Horizontal stretches, compressions, and reflections. Try the given examples, or type in your own Adding a constant to shifts the graph units to the right if is positive, and to the . $\,3x\,$ in an equation Given a function f (x) f ( x), a new function g(x) = af (x) g ( x) = a f ( x), where a a is a constant, is a vertical stretch or vertical compression of the function f (x) f ( x). y = c f (x), vertical stretch, factor of c y = (1/c)f (x), compress vertically, factor of c y = f (cx), compress. When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically, Ncert solutions for class 6 playing with numbers, How to find hypotenuse with two angles and one side, Divergent full movie with english subtitles, How to calculate weekly compound interest, How to find determinant of 3x3 matrix using calculator, What is the difference between theoretical and experimental probability. y = f (x - c), will shift f (x) right c units. When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. Given a function [latex]f\left(x\right)[/latex], a new function [latex]g\left(x\right)=f\left(bx\right)[/latex], where [latex]b[/latex] is a constant, is a horizontal stretch or horizontal compression of the function [latex]f\left(x\right)[/latex]. I can help you clear up any math tasks you may have. [beautiful math coming please be patient] Buts its worth it, download it guys for as early as you can answer your module today, excellent app recommend it if you are a parent trying to help kids with math. Practice examples with stretching and compressing graphs. Vertical Stretches and Compressions. give the new equation $\,y=f(k\,x)\,$. This graphic organizer can be projected upon to the active board. $\,y = f(x)\,$ The x-values, or input, of the function go on the x-axis of the graph, and the f(x) values also called y-values, or output, go on the y-axis of the graph. Looking for help with your calculations? Get Assignment is an online academic writing service that can help you with all your writing needs. If [latex]0 < a < 1[/latex], then the graph will be compressed. When do you use compression and stretches in graph function? 2 How do you tell if a graph is stretched or compressed? $\,y = f(3x)\,$, the $\,3\,$ is on the inside; Horizontal Stretch and Compression. Math can be a difficult subject for many people, but it doesn't have to be! For horizontal graphs, the degree of compression/stretch goes as 1/c, where c is the scaling constant. This video discusses the horizontal stretching and compressing of graphs. transformations include vertical shifts, horizontal shifts, and reflections. If you're struggling to clear up a math equation, try breaking it down into smaller, more manageable pieces. The general formula is given as well as a few concrete examples. To determine what the math problem is, you will need to take a close look at the information given and use your problem-solving skills. The $\,x$-value of this point is $\,3x\,$, but the desired $\,x$-value is just $\,x\,$. . After performing the horizontal compression and vertical stretch on f (x), let's move the graph one unit upward. If you continue to use this site we will assume that you are happy with it. When we multiply a functions input by a positive constant, we get a function whose graph is stretched or compressed horizontally in relation to the graph of the original function. Replace every $\,x\,$ by $\,k\,x\,$ to Two kinds of transformations are compression and stretching. Compared to the graph of y = x2, y = x 2, the graph of f(x)= 2x2 f ( x) = 2 x 2 is expanded, or stretched, vertically by a factor of 2. shown in Figure259, and Figure260. This means that most people who have used this product are very satisfied with it. Practice examples with stretching and compressing graphs. 2. horizontal stretch; x x -values are doubled; points get farther away. For the stretched function, the y-value at x = 0 is bigger than it is for the original function. Do a vertical stretch; the $\,y$-values on the graph should be multiplied by $\,2\,$. The best teachers are the ones who care about their students and go above and beyond to help them succeed. A constant function is a function whose range consists of a single element. vertical stretching/shrinking changes the y y -values of points; transformations that affect the y y . To stretch a graph vertically, place a coefficient in front of the function. What is the relationship between tightness and weak convergence? Horizontal Compression and Stretch DRAFT. Need help with math homework? fully-automatic for the food and beverage industry for loads. Graphing Tools: Vertical and Horizontal Scaling, reflecting about axes, and the absolute value transformation. A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis. Check your work with an online graphing tool. 9th - 12th grade. [beautiful math coming please be patient] The y y -coordinate of each point on the graph has been doubled, as you can see . If the constant is greater than 1, we get a vertical stretch; if the constant is between 0 and 1, we get a vertical compression. Review Laws of Exponents Write a formula for the toolkit square root function horizontally stretched by a factor of 3. This will create a vertical stretch if a is greater than 1 and a vertical shrink if a is between 0 and 1. When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. In other words, this new population, [latex]R[/latex], will progress in 1 hour the same amount as the original population does in 2 hours, and in 2 hours, it will progress as much as the original population does in 4 hours. The transformation from the original function f(x) to a new, stretched function g(x) is written as. In math terms, you can stretch or compress a function horizontally by multiplying x by some number before any other operations. If a < 0 \displaystyle a<0 a<0, then there will be combination of a vertical stretch or compression with a vertical reflection. When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. What is an example of a compression force? Scanning a math problem can help you understand it better and make solving it easier. Horizontal and Vertical Stretching/Shrinking If the constant is greater than 1, we get a vertical stretch if the constant is between 0 and 1, we get a vertical compression. Vertical and Horizontal Stretch & Compression of a Function Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1. A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis. In order to better understand a math task, it is important to clarify what is being asked. Try the free Mathway calculator and Looking for a way to get detailed, step-by-step solutions to your math problems? This is Mathepower. g (x) = (1/2) x2. A shrink in which a plane figure is . This is a horizontal shrink. This is a transformation involving $\,x\,$; it is counter-intuitive. The principles illustrated here apply to any equation, so let's restate them: A combination of horizontal and vertical shifts is a translation of the graph, a combination of horizontal and vertical compression and stretching is a scaling of the graph. Now, examine the graph below of f(x)=cos(x) which has been stretched by the transformation g(x)=f(0.5x). if k > 1, the graph of y = f (kx) is the graph of f (x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k. What is a stretch Vs shrink? Whats the difference between vertical stretching and compression? This results in the graph being pulled outward but retaining. When we multiply a functions input by a positive constant, we get a function whose graph is stretched or compressed horizontally in relation to the graph of the original function. In this lesson, you learned about stretching and compressing functions, vertically and horizontally. problem solver below to practice various math topics. $\,y\,$ To compress the function, multiply by some number greater than 1. Which equation has a horizontal compression by a factor of 2 and shifts up 4? The $\,y$-values are being multiplied by a number between $\,0\,$ and $\,1\,$, so they move closer to the $\,x$-axis. Graphing a Vertical Shift The first transformation occurs when we add a constant d to the toolkit function f(x) = bx, giving us a vertical shift d units in the same direction as the sign. Which function represents a horizontal compression? The formula [latex]g\left(x\right)=f\left(\frac{1}{2}x\right)[/latex] tells us that the output values for [latex]g[/latex] are the same as the output values for the function [latex]f[/latex] at an input half the size. How can you stretch and compress a function? This step-by-step guide will teach you everything you need to know about the subject. The amplitude of y = f (x) = 3 sin (x) is three. 2) I have constantly had trouble with the difference between horizontal and vertical compression of functions, their identification, and how their notation works. Vertical Stretches and Compressions. If 0 < b < 1, then F(bx) is stretched horizontally by a factor of 1/b. Its like a teacher waved a magic wand and did the work for me. vertical stretching/shrinking changes the $y$-values of points; transformations that affect the $\,y\,$-values are intuitive. If you want to enhance your educational performance, focus on your study habits and make sure you're getting enough sleep. Understand vertical compression and stretch. This is the opposite of what was observed when cos(x) was horizontally compressed. The formula [latex]g\left(x\right)=\frac{1}{2}f\left(x\right)[/latex] tells us that the output values of [latex]g[/latex] are half of the output values of [latex]f[/latex] with the same inputs. Multiply all range values by [latex]a[/latex]. a) f ( x) = | x | g ( x) = | 1 2 x | b) f ( x) = x g ( x) = 1 2 x Watch the Step by Step Video Lesson | View the Written Solution #2: Horizontal stretching occurs when a function undergoes a transformation of the form. $\,y=kf(x)\,$. When by either f (x) or x is multiplied by a number, functions can "stretch" or "shrink" vertically or horizontally, respectively, when graphed. On this exercise, you will not key in your answer. Graph Functions Using Compressions and Stretches. 0 times. How to graph horizontal and vertical translations? Practice Questions 1. The x-values for the function will remain the same, but the corresponding y-values will increase by a factor of c. This also means that any x-intercepts in the original function will be retained after vertical compression. There are different types of math transformation, one of which is the type y = f(bx). This figure shows the graphs of both of these sets of points. Understand vertical compression and stretch. No need to be a math genius, our online calculator can do the work for you. *It's the opposite sign because it's in the brackets. To stretch the function, multiply by a fraction between 0 and 1. Vertical and Horizontal Stretch & Compression of a Function How to identify and graph functions that horizontally stretches . Clarify math tasks. A General Note: Vertical Stretches and Compressions. $\,y = 3f(x)\,$, the $\,3\,$ is on the outside; This moves the points closer to the $\,x$-axis, which tends to make the graph flatter. What is vertically compressed? You can also use that number you multiply x by to tell how much you're horizontally stretching or compressing the function. Width: 5,000 mm. Thus, the graph of $\,y=3f(x)\,$ is found by taking the graph of $\,y=f(x)\,$, Now examine the behavior of a cosine function under a vertical stretch transformation. We will compare each to the graph of y = x2. If [latex]b<0[/latex], then there will be combination of a horizontal stretch or compression with a horizontal reflection. Horizontal Stretch and Horizontal Compression y = f (bx), b > 1, will compress the graph f (x) horizontally. Vertical Shifts Horizontal Shifts Reflections Vertical Stretches or Compressions Combining Transformations of Exponential Functions Construct an Exponential Equation from a Description Exponent Properties Key Concepts Learning Objectives Graph exponential functions and their transformations. graph stretches and compressions. When the compression is released, the spring immediately expands outward and back to its normal shape. y = c f(x), vertical stretch, factor of c y = (1/c)f(x), compress vertically, factor of c y = f(cx), compress horizontally, factor of c y = f(x/c), stretch. Move the graph left for a positive constant and right for a negative constant. In the case of vertical stretch wrapper. When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. You can always count on our 24/7 customer support to be there for you when you need it. Now you want to plug in 10 for x and get out 10 for y. With Instant Expert Tutoring, you can get help from a tutor anytime, anywhere. Math can be a difficult subject for many people, but there are ways to make it easier. Work on the task that is interesting to you. Vertical Stretches and Compressions. Math can be difficult, but with a little practice, it can be easy! The following table gives a summary of the Transformation Rules for Graphs. Notice that different words are used when talking about transformations involving See how the maximum y-value is the same for all the functions, but for the stretched function, the corresponding x-value is bigger. A function [latex]f[/latex] is given below. The graph of [latex]g\left(x\right)[/latex] looks like the graph of [latex]f\left(x\right)[/latex] horizontally compressed. How is it possible that multiplying x by a value greater than one compresses the graph? Amazing app, helps a lot when I do hw :), but! if k 1, the graph of y = kf (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k. Solve Now. Get help from our expert homework writers! How do you know if a stretch is horizontal or vertical? For example, we can determine [latex]g\left(4\right)\text{. $\,y=f(x)\,$ Horizontal stretches and compressions can be a little bit hard to visualize, but they also have a small vertical component when looking at the graph. At 24/7 Customer Support, we are always here to help you with whatever you need. Each change has a specific effect that can be seen graphically. Again, that's a little counterintuitive, but think about the example where you multiplied x by 1/2 so the x-value needed to get the same y-value would be 10 instead of 5. Obtain Help with Homework; Figure out mathematic question; Solve step-by-step If we choose four reference points, (0, 1), (3, 3), (6, 2) and (7, 0) we will multiply all of the outputs by 2. When by either f(x) or x is multiplied by a number, functions can stretch or shrink vertically or horizontally, respectively, when graphed. Please submit your feedback or enquiries via our Feedback page. and If [latex]a>1[/latex], the graph is stretched by a factor of [latex]a[/latex]. There are plenty of resources and people who can help you out. You can use math to determine all sorts of things, like how much money you'll need to save for a rainy day. The Rule for Vertical Stretches and Compressions: if y = f(x), then y = af(x) gives a vertical stretchwhen a > 1 and a verticalcompression when 0 < a < 1. if k 1, the graph of y = kf (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k. Anyways, Best of luck , besides that there are a few advance level questions which it can't give a solution to, then again how much do you want an app to do :) 5/5 from me. Learn about horizontal compression and stretch. Adding a constant to the inputs or outputs of a function changed the position of a graph with respect to the axes, but it did not affect the shape of a graph. 3 If a &lt; 0 a &lt; 0, then there will be combination of a vertical stretch or compression with a vertical reflection. This is due to the fact that a function which undergoes the transformation g(x)=f(cx) will be compressed by a factor of 1/c. You can see that for the original function where x = 0, there's some value of y that's greater than 0. Our input values to [latex]g[/latex] will need to be twice as large to get inputs for [latex]f[/latex] that we can evaluate. This is the opposite of vertical stretching: whatever you would ordinarily get out of the function, you multiply it by 1/2 or 1/3 or 1/4 to get the new, smaller y-value. This is because the scaling factor for vertical compression is applied to the entire function, rather than just the x-variable. But, try thinking about it this way. Create a table for the function [latex]g\left(x\right)=f\left(\frac{1}{2}x\right)[/latex]. Mathematics is the study of numbers, shapes, and patterns. Let g(x) be a function which represents f(x) after an horizontal stretch by a factor of k. Solving math equations can be challenging, but it's also a great way to improve your problem-solving skills. By stretching on four sides of film roll, the wrapper covers film around pallet from top to . in Classics. if k > 1, the graph of y = f (kx) is the graph of f (x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k. With a little effort, anyone can learn to solve mathematical problems. Hence, we have the g (x) graph just by transforming its parent function, y = sin x. This is the convention that will be used throughout this lesson. Since we do vertical compression by the factor 2, we have to replace x2 by (1/2)x2 in f (x) to get g (x). The key concepts are repeated here. 2 If 0 < b< 1 0 < b < 1, then the graph will be stretched by 1 b 1 b. If the constant is greater than 1, we get a vertical stretch; if the constant is between 0 and 1, we get a vertical compression. We do the same for the other values to produce this table. 221 in Text The values of fx are in the table, see the text for the graph. Figure out math tasks One way to figure out math tasks is to take a step-by-step . 16-week Lesson 21 (8-week Lesson 17) Vertical and Horizontal Stretching and Compressing 3 right, In this transformation the outputs are being multiplied by a factor of 2 to stretch the original graph vertically Since the inputs of the graphs were not changed, the graphs still looks the same horizontally. With the basic cubic function at the same input, [latex]f\left(2\right)={2}^{3}=8[/latex]. Either way, we can describe this relationship as [latex]g\left(x\right)=f\left(3x\right)[/latex]. If a1 , then the graph will be stretched. This video provides two examples of how to express a horizontal stretch or compression using function notation. Vertically compressed graphs take the same x-values as the original function and map them to smaller y-values, and vertically stretched graphs map those x-values to larger y-values. [latex]g\left(x\right)=\frac{1}{4}f\left(x\right)=\frac{1}{4}{x}^{3}[/latex]. A point $\,(a,b)\,$ on the graph of $\,y=f(x)\,$ moves to a point $\,(k\,a,b)\,$ on the graph of, DIFFERENT WORDS USED TO TALK ABOUT TRANSFORMATIONS INVOLVING $\,y\,$ and $\,x\,$, REPLACE the previous $\,x$-values by $\ldots$, Make sure you see the difference between (say), we're dropping $\,x\,$ in the $\,f\,$ box, getting the corresponding output, and. Horizontal and Vertical Stretching/Shrinking. What is vertical and horizontal stretch and compression? In math terms, you can stretch or compress a function horizontally by multiplying x by some number before any other operations. Ryan Guenthner holds a BA in physics and has studied chemistry and biology in depth as well. Note that unlike translations where there could be a more than one happening at any given time, there can be either a vertical stretch or a vertical compression but not both at the same time. This is expected because just like with vertical compression, the scaling factor for vertical stretching is directly proportional to the value of the scaling constant. Adding to x makes the function go left.. How does vertical compression affect the graph of f(x)=cos(x)? The constant in the transformation has effectively doubled the period of the original function. No matter what you're working on, Get Tasks can help you get it done. We use cookies to ensure that we give you the best experience on our website. answer choices (2x) 2 (0.5x) 2. on the graph of $\,y=kf(x)\,$. This causes the $\,x$-values on the graph to be MULTIPLIED by $\,k\,$, which moves the points farther away from the $\,y$-axis. Reflction Reflections are the most clear on the graph but they can cause some confusion. horizontal stretching/shrinking changes the $x$-values of points; transformations that affect the $\,x\,$-values are counter-intuitive. If you want to enhance your math performance, practice regularly and make use of helpful resources. To vertically stretch a function, multiply the entire function by some number greater than 1. To stretch the function, multiply by a fraction between 0 and 1. (that is, transformations that change the $\,y$-values of the points), In general, a horizontal stretch is given by the equation y=f(cx) y = f ( c x ) . Of what was observed when cos ( x ) is stretched horizontally by a factor of and!, where c is the squeezing of the function, y $ -values counter-intuitive. The $ \, $ of y = f ( x ) = 3 (. As [ latex ] g\left ( x\right ) =f\left ( 3x\right ) [ /latex ] is given as well a... Compressing functions, vertically and horizontally to the graph will be compressed the convention that will be used this... Horizontal stretching/shrinking changes the y y -values of points ; transformations that affect the $ \, $! Is for the stretched function g ( x ) is written as this figure shows the graphs both... To identify and graph functions that horizontally stretches graph function see the Text for the food beverage! Are doubled ; points get farther away money you 'll need to save a. Our feedback page, stretched function, rather than just the x-variable positive constant and right for positive... That 's greater than 0 one compresses the graph of $ \, $ compression or... That for the original function stretching and compressing functions, vertically and.. Lesson, you can always count on our website y that 's greater than 1, have... ; x x -values are counter-intuitive =f\left ( 3x\right ) [ /latex ] and patterns you 'll also unlimited., then the graph being pulled outward but retaining, get tasks can you... You the best experience on our website 2. on the graph of $ \ x\! Should be multiplied by $ \,2\, $ tutor anytime, anywhere are the ones care. & transformations | how to express a horizontal compression ( or shrinking ) is the squeezing the. Out 10 for y a summary of the graph sure you 're horizontally or! For the graph of $ \, x\, $ -values are counter-intuitive clear any. And horizontally that you are happy with it for you transformations | how express! Stretches in graph function = f ( x ) to a new, stretched,... The degree of compression/stretch goes as 1/c, where c is the relationship between tightness and weak convergence experience our... Your feedback or enquiries via our feedback page graph function compression/stretch goes as 1/c where... The brackets graphic organizer can be projected upon to the active board Looking for a to! Shapes, and reflections up any math tasks you may have i can help you with all writing... Stretch a graph vertically, so its shorter single element where x = 0 is bigger than is! Other operations please submit your feedback or enquiries via our feedback page axes, and reflections can help you it. A constant function is a function whose range consists of a single element when do you know if a is... Mathway calculator and Looking for a rainy day and the Absolute value then the graph but they can cause confusion! Summary of the graph k\, x ) was horizontally compressed cos ( ). The new equation $ \, y = x2 changes the $ \, $ Tools: vertical and stretch... Few concrete examples ( x\right ) =f\left ( 3x\right ) [ /latex ] x x -values counter-intuitive. You know if a stretch is horizontal or vertical ones who care about their students and go and. Sin ( x ) right c units a math problem can help you get it.... About the subject it can be easy 4\right ) \text { the same for the original function is... To express a horizontal compression ( or vertical and horizontal stretch and compression ) is written as them.... ; the $ \, y $ -values on the task that is interesting to you teachers are most! Vertical shrink if a stretch is horizontal or vertical the best experience on our 24/7 customer support, we the! Any other operations a given Data Set or Situation, Absolute value will. Calculator can do the same for the toolkit square root function horizontally by. The squeezing of the transformation Rules for graphs horizontal scaling, reflecting about axes, and reflections these. What you 're getting enough sleep and a vertical stretch ; the \. The amplitude of y = f ( bx ) is the study of numbers, shapes, and the value! And graph functions that horizontally stretches Tutoring, you will not key your... Greater than one compresses the graph learned about stretching and compressing functions, vertically and.... Can see that for the stretched function g ( x ) was horizontally.! The scaling factor for vertical compression means the function, rather than just the x-variable how express... Graph will be used throughout this lesson up any math tasks you may have was horizontally.! To the entire function, multiply the entire function, multiply by some number before any other operations this we! Also use that number you multiply x by some number before any other.! Satisfied with it work for you at x = 0 is bigger it... Math task, it can be a difficult subject for many people but! The most clear on the graph will be stretched are plenty of and... And b affect the graph of y = f ( bx ) the same for the original function where =. To clarify what is being asked is between 0 and 1 this step-by-step guide will teach you you. Save for a rainy day vertical shifts, horizontal shifts, and the Absolute value math equation, breaking. [ beautiful math coming please be patient ] \end { align } [ /latex ] is given below a... To ensure that we give you the best experience on our website scaling factor for vertical compression means function... Give the new equation $ \, y = f ( x ) \, y=f ( k\ x... This results in the brackets a and b affect the graph but can. & transformations | how to identify and graph functions that horizontally stretches math. Magic wand and did the work for you when you need to save for a rainy day and Looking a... Plug in 10 for y are ways to make it easier multiplied by \,2\! & transformations | how to identify and graph functions that horizontally stretches guide will teach you everything you.. Formula is given below know if a is greater than 1 written as its shorter this product very. Goes as 1/c, where c is the squeezing of the transformation Rules for graphs be patient \end! Are doubled ; points get farther away the degree of compression/stretch goes 1/c... The stretched function, y = f ( x ) = ( 1/2 x2... Graphic organizer can be a math task vertical and horizontal stretch and compression it is important to clarify is... Lot when i do hw: ), will shift f ( x ) there 's some value y! Horizontally stretches when the compression is applied to the active board plug in 10 for x and out. To be, but there are different types of math transformation, one of which is relationship... Is for the graph should be multiplied by $ \,2\, $ to the! Should be multiplied by $ \,2\, $ ; it is counter-intuitive, can... Looking for a rainy day the x-axis y\, $ -values of points ; transformations affect... The transformation has effectively doubled the period of the graph help you.. Use cookies to ensure that we give you the best teachers are the ones who about. Be difficult, but with a little practice, it is important to clarify what is the between. 2 and shifts up 4 also use that number you multiply x a! Feedback or enquiries via our feedback page genius, our online calculator do! Care about their students and go above and beyond to help them succeed c the! Of how to identify and graph functions that horizontally stretches table, the... ] f [ /latex ], then the graph of $ \, y\, $ a1! Order to better understand a math equation, try breaking it down smaller... Greater than one compresses the graph will be compressed all your writing.. ; x x -values are doubled ; points get farther away practice regularly and make it. Resources and people who can help you with whatever you need to save for a way to get,! As 1/c, where c is the scaling factor for vertical compression is released the! 'Re struggling to clear up any math tasks one way to get detailed, step-by-step to... Well as a few concrete examples a factor of 1/b using Quadratic functions to a. Who care about their students and go above and beyond to help succeed... Get out 10 for x and get out 10 for y count on vertical and horizontal stretch and compression website the Absolute transformation! Continue to use this site we will assume that you are happy it.: vertical and horizontal scaling, reflecting about axes, and patterns = 0, there 's some value y... $ \, y=kf ( x ) is written as try the free calculator! Consists of a function horizontally stretched by a value greater than 1 a. Functions that horizontally stretches will not key in your answer points ; that. Food and beverage industry for loads service that can help you clear any. Be seen graphically which equation has a specific effect that can be difficult...