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: 13

Answer

Amplitude $1$, period $\pi$, see graph.

Work Step by Step

1. Rewrite the function as $y=sin2(x-\frac{\pi}{2})+2$, we can identify its amplitude as $|A|=|1|=1$ and period as $p=\frac{2\pi}{2}=\pi$ 2. First graph $y=sin(x)$ (blue), shift the curve $\frac{\pi}{2}$ to the right, shrink horizontally by a factor of 2, then shift the curve 2 units up (red).
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