WebApr 1, 2010 · 3/31/10 5:00 PM. Professor ElvisZap teaches you how to stretch shift and reflect the graph of a square root. A square root function is the opposite of a squared function. You start with y=square root of (x-1) it … WebWhen the graph gets wider, it is either a vertical shrink or a horizontal stretch: essentially, shrinking TO the x-axis or stretching AWAY from the y-axis. So, in conclusion: if the graph moves on the y-axis: if the graph gets wider: vertical shrink if the graph gets narrower: vertical stretch if the graph does not move on the y-axis: if the ...
Stretching and Reflecting Transformations - CK-12 Foundation
WebSep 25, 2024 · Add a comment. 1. To shrink a function means to make the graph of the function seems narrower. For example, consider the function. f ( x) = x 2. If you want to make the function shrink horizontally by a factor of 2 you would want the function. f ( 2 x) = ( 2 x) 2 = 4 x 2. On the other hand, you would argue that. f ( 1 2 x) = ( 1 2 x) 2 = 1 4 x 2. WebTo stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of ). Here are the graphs of y = f (x), y = 2f (x), and y = x. SparkNotes Plus subscription is $4.99/month or $24.99/year as selected … To stretch and shrink in the horizontal direction, we alter the input of a function, … how many calories do you burn on a bike ride
NG 18 - Section 2.6 - Graph Transformations.pdf - Course Hero
WebJul 7, 2024 · In math terms, you can stretch or compress a function horizontally by multiplying x by some number before any other operations. To stretch the function, multiply by a fraction between 0 and 1. To compress the function, multiply by some number greater than 1. Is 1 2 a vertical stretch or shrink? WebExample: Graphing the Stretch of an Exponential Function Sketch a graph of f (x) = 4(1 2)x f ( x) = 4 ( 1 2) x. State the domain, range, and asymptote. Show Solution Try It Use an online graphing tool to sketch the graph of f (x) = 1 2(4)x f ( x) = 1 2 ( 4) x. State the domain, range, and asymptote. Show Solution WebThe procedure for stretching the graph of a function vertically or horizontally is illustrated by the following examples : Question 1 : Define a function g by g (x) = 2f (x), where f is the function defined by f (x) = x 2, with the domain … how many calories do you burn on a 5 mile run