Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.7 Graphing Techniques - 2.7 Exercises - Page 271: 9

Answer

$y$

Work Step by Step

RECALL: The graph of the function $y=f-x)$ involves a reflection across the y-axis of the parent function $y=f(x)$. The parent function of the given function is $y=|x|$. Since the function is of the form $y=f(-x)$, then it involves a reflection across the y-axis of the parent function $f(x)=|x|$. However, since the $f(x)=|x|$ is symmetric with respect to the y-axis, the graph of $f(x)=|-x|$ is the same as the graph of $y=|x|$. Therefore, the missing expressions in the given statement is: $y$
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