Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 1 - Functions and Their Graphs - Section 1.5 Graphing Techniques: Transformations - 1.5 Assess Your Understanding - Page 97: 2

Answer

$y$

Work Step by Step

A reflection about the $y$-axis of a point $(x,y)$ yields the image as: $ (−x,y)$. When we replace $x$ by $−x$ in the original function $f(x)$, then we get a reflection about the $y$-axis of the function $y=f(x)$. Thus, the missing word in the givens statement is $\bf{y}$.
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