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