Precalculus (6th Edition)

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

Chapter 6 - The Circular Functions and Their Graphs - Summary Exercises on Graphing Circular Functions - Exercises - Page 633: 1

Answer

See graph and explanations.

Work Step by Step

1. Given $y=2sin(\pi x)$, we have amplitude $2$, period $p=\frac{2\pi}{\pi}=2$. 2. Graph $y=sin(x)$ (blue), shrink horizontally by a factor of $\pi$, then stretch vertically by a factor of 2 to get $y=2sin(\pi x)$ (red).
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