College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.4 - Library of Functions; Piecewise-defined Function - 3.4 Assess Your Understanding - Page 247: 65

Answer

Conclusion: The graph of $y=-f(x)$ is obtained by reflecting the graph of $y=f(x)$ about the x-axis.

Work Step by Step

$y=-x^{2}$ has the graph of $y=x^{2},$ reflected about the x-axis. $y=-|x|$ has the graph of $y=|x|$ reflected about the x-axis. Conclusion: The graph of $y=-f(x)$ is obtained by reflecting the graph of $y=f(x)$ about the x-axis.
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