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: 7

Answer

See graph and explanations.

Work Step by Step

1. Given $y=-5sin(\frac{x}{3})$, we have amplitude $5$, period $p=\frac{2\pi}{1/3}=6\pi$. 2. Graph $y=sin(x)$ (blue), stretch horizontally by a factor of $3$, then stretch vertically by a factor of 5, then reflect around the x-axis to get $y=-5sin(\frac{x}{3})$ (red).
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