Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 6 - The Circular Functions and Their Graphs - Quiz - Page 616: 12

Answer

Amplitude $2$, period $2\pi$, see graph.

Work Step by Step

1. Given $y=-2cos(x+\frac{\pi}{4})$, we can identify its amplitude as $|A|=|-2|=2$ and period as $p=2\pi$ 2. First graph $y=cos(x)$ (blue), shift the curve $\frac{\pi}{4}$ to the left, stretch vertically by a factor of 2, then reflect around the x-axis (red).
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