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: 66

Answer

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

Work Step by Step

$y=\sqrt{-x}$ has the graph of $y=\sqrt{x},$ reflected about the $y$-axis. $y=2(-x)+1$ has the graph of $y=2x=1$ reflected about the x-axis. Conclusion: The graph of $y=f(-x)$ is obtained by reflecting the graph of $y=f(x)$ about the $y$-axis.
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