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: 38


Refer to the blue graph below.

Work Step by Step

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