College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.6 - Transformations of Functions - 2.6 Exercises - Page 243: 39

Answer

Refer to the blue graph below.

Work Step by Step

RECALL: The function $y=f(-x)$ involves a reflection about the $y$-axis of the parent function $f(x)$. The parent function of the given function is $y=\sqrt[4]{x}$. The graph of the given function involves a reflection about the y-axis of the parent function $y=\sqrt[4]{x}$. Thus, to graph the given function: (1) Graph the parent function $y=\sqrt[4]{x}$ . (Refer to the red graph in the attached image below) (2) Reflect the parent function's graph about the y-axis. This can be done by changing each x-coordinate of the points of the parent function to its opposite sign while keeping the value of the y-coordinate of each point.a (Refer to the blue graph in the attached image above.)
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