Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 4 - Section 4.3 - Vertical and Horizontal Translations - 4.3 Problem Set - Page 217: 27

Answer

Right shift of $\frac{\pi}{4}$

Work Step by Step

We know that If H is any real number, then the graphs of $y = A\sin(x + H)$ and $y = A\cos (x + H)$ will have $Horizontal\ shift = -H$, Positive means right shift, and negative meaning a left shift so for $y = \sin (x - \frac{\pi}{4})$ $Horizontal\ shift = \frac{\pi}{4}$ i.e Right shift of $\frac{\pi}{4}$
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