#### Answer

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

#### Work Step by Step

$y = 3-4~sin~(\frac{5}{2}x+\pi)$
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.