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 595: 30


Please see below.

Work Step by Step

Please note that a sine function $y=A\sin (Bx-C)$ has amplitude $|A|$, period $\frac{2\pi }{B}$, and phase shift $\frac{C}{B}$. So the function $y=-3\sin (2\pi x+4\pi )$ has amplitude $|-3|=3$, period $\frac{2\pi }{2\pi }=1 $, and phase shift $\frac{- 4 \pi }{2\pi }=-2$.
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