Precalculus (6th Edition)

by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie

Published by Pearson

ISBN 10: 013421742X

ISBN 13: 978-0-13421-742-0

Chapter 6 - The Circular Functions and Their Graphs - 6.4 Translations of the Graphs of the Sine and Cosine Functions - 6.4 Exercises - Page 614: 53

Answer

see graph.

Work Step by Step

Given $y=-1-2cos(\frac{1}{2}x)$, we can identify its amplitude as $2$, period as $p=\frac{2\pi}{1/2}=4\pi$, vertical translation as $1$ down, and phase shift as $0$, see graph.

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