Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 14 Trigonometric Graphs, Identities, and Equations - 14.2 Translate and Reflect Trigonometric Graphs - 14.2 Exercises - Skill Practice - Page 920: 47

Answer

You shift it right.

Work Step by Step

Note, the only difference between sine and cosine functions is that, when not shifted, cosine functions are at their maximum amplitude at $x=0$, while sine functions are at $0$ at this point. Thus, if we shift the sine function right by $\frac{3\pi}{2}$, we get a cosine function.
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