Answer
$y=2$sin$(2(x+\frac{\pi}{3}))$
Work Step by Step
The amplitude is half the distance between the minimum and maximum values of the function. Since the minimum is $-2$ and the maximum is $2$, $\frac{2-(-2)}{2}=2$
The period is the interval needed to complete one cycle, and it is given by $k=\frac{2\pi}{p}$, where $p$ is the period and $k$ is the phase or the horizontal length of a function when it completes one cycle. Since the length, in this case, is $\pi$, $k=\frac{2\pi}{\pi}=2$
Horizontal shift is the amount of units the function has displaced horizontally. Since the sine function starts at the origin, the function has displaced $-\pi/3$
