Chapter 4 - Graphs of the Circular Functions - Summary Exercises on Graphing Circular Functions - Page 181: 7

$y = -5~sin~\frac{x}{3}$ We can see the graph below.

$y = -5~sin~\frac{x}{3}$ When $x = 0$, then $y = -5~sin~0 = 0$ When $x = \frac{3\pi}{2}$, then $y = -5~sin~\frac{\pi}{2} = -5$ When $x = 3\pi$, then $y = -5~sin~\pi= 0$ When $x = \frac{9\pi}{2}$, then $y = -5~sin~\frac{3\pi}{2} = 5$ When $x = 6\pi$, then $y = -5~sin~2\pi = 0$ We can see the graph below.