Chapter 4 - Graphs of the Circular Functions - Summary Exercises on Graphing Circular Functions - Page 181: 9

$y = 3-4~sin~(\frac{5}{2}x+\pi)$ We can see the graph below.

$y = 3-4~sin~(\frac{5}{2}x+\pi)$ When $x = 0$, then $y = 3-4~sin~\pi = 3$ When $x = \frac{\pi}{5}$, then $y = 3-4~sin~\frac{3\pi}{2} = 7$ When $x = \frac{2\pi}{5}$, then $y = 3-4~sin~2\pi= 3$ When $x = \frac{3\pi}{5}$, then $y = 3-4~sin~\frac{5\pi}{2} = -1$ When $x = \frac{4\pi}{5}$, then $y = 3-4~sin~3\pi = 3$ We can see the graph below.