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 218: 56

Answer

Graph of $y = 3 + \sin (\pi x - \frac{\pi}{2})$ will be Graph of $y = \sin (\pi x - \frac{\pi}{2})$ (problem 44) shifted 3 units downward

Work Step by Step

We know that, The graphs of $y = k + \sin x$ and $y = k + \cos x$ will be sine and cosine graphs that have been translated vertically k units upward if $k > 0$, or k units downward if $k < 0$, Using this Graph of $y = 3 + \sin (\pi x - \frac{\pi}{2})$ will be Graph of $y = \sin (\pi x - \frac{\pi}{2})$ (problem 44) shifted 3 units downward
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