Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.6 - Transformations of Functions - Exercise Set - Page 245: 149

Answer

The corresponding point on the graph is $\left( -a,b \right)$.

Work Step by Step

The graph of the function $y=f\left( x \right)$ is the reflection of the provided function $y=f\left( -x \right)$ along the y axis. In the given case, the value of the function obtained earlier at x is now obtained at –x, so the graph looks like a mirror image of $f\left( x \right)$ along the y axis. Therefore, the point $\left( a,b \right)$ on the graph of $y=f\left( x \right)$ corresponds to a point $\left( -a,b \right)$ on the graph of the function $y=f\left( -x \right)$.
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