Answer
$(b)$
Work Step by Step
A graph is symmetric about the $y$-axis if $f(-x)=f(x)$.
Note that for the absolute value function $f(x)=|x|$, $f(x)=f(-x)$ so its graph is symmetric about the $y$-axis.
Thus, the answer is Option $(b)$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 2 - Functions and Their Graphs - 2.4 Library of Functions; Piecewise-defined Functions - 2.4 Assess Your Understanding - Page 90: 9
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