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: 102


Please see below.

Work Step by Step

Please note that the function $y=-2 \cos (2\pi x - \frac{\pi }{2} )$ has amplitude $|-2|=2$, period $\frac{2 \pi }{2 \pi }=1$, and phase shift $\frac{-\frac{\pi }{2}}{2\pi } =- \frac{1}{4}$.
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