Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 4 - Graphs of the Circular Functions - Section 4.2 Translations of the Graphs of the Sine and Cosine Functions - 4.2 Exercises - Page 159: 1

Answer

$\frac{\pi}{4}$; left

Work Step by Step

The horizontal translation of the graph of the function $y=f(x-d)$ is $|d|$ units to the left compared to the graph of $y=f(x)$ if $d\lt0$. Therefore, the graph of $y=\sin(x+\frac{\pi}{4})$ is obtained by shifting the graph of $y=\sin x$ $\frac{\pi}{4}$ unit to the left.
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