Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.5 - Graphs of Sine and Cosine Functions - Exercise Set - Page 597: 92

Answer

Please see below.

Work Step by Step

We know that a sine function of the form $y=A \sin (Bx-C)$ has phase shift $\frac{C}{B}$. The graph of $y=A \sin (Bx-C)$ is the graph of $y=A\sin Bx$ horizontally shifted $\frac{C}{B}$ units to the right (if $\frac{C}{B} \gt 0$) or to the left (if $\frac{C}{B} \lt 0$).
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