Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.5 - Transformations of Functions - 2.5 Exercises - Page 211: 34


a) $f(x)=|x|$ b) Horizontal stretch c) See graph d) $g(x)=f\left(\dfrac{1}{2}x\right)$

Work Step by Step

We are given the function: $g(x)=\left|\dfrac{1}{2}x\right|$ a) The parent function is: $f(x)=|x|$ b) Horizontally stretch $f(x)$ to get $g(x)=\left|\dfrac{1}{2}x\right|$. c) Graph the transformation. d) Use function notation to write $g$ in terms of $f$: $g(x)=f\left(\dfrac{1}{2}x\right)$
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