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 598: 116


$$y=\pi \cos (2\pi x + 4\pi )$$

Work Step by Step

Please note that the function $y=A \cos (Bx-C)$ represents a cosine function with amplitude $A$, period $\frac{2 \pi }{B}$, and phase shift $\frac{C}{B}$. So, according to the information given in the question, we have$$A= \pi, \quad B=\frac{2\pi }{1}=2\pi, \quad C=(2\pi )(-2)=-4 \pi \\ \quad \Rightarrow \quad y=\pi \cos (2\pi x+4 \pi ).$$
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