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: 1

Answer

$\text{horizontal; right}$

Work Step by Step

The graph of the function $y=f(x-a)$ involves a $\bf{horizontal}$ shift of $a$ units to the $\bf{right}$ of the original function $f(x)$ when $a\gt0$ and $|a|$ units to the left when $a \lt0$. Thus, the given function, where $a=2$, can be obtained by $2$-unit shift to the $\bf{right}$ of the original function $f(x)$. Thus, the missing words in the givens statements are : horizontal; and right.
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