Answer
$y = csc~(x+\frac{\pi}{3})$
We can see the graph below.
Work Step by Step
$y = csc~(x+\frac{\pi}{3})$
When $x = -\frac{\pi}{3}$, then $y = csc~0$ (which is undefined)
When $x = \frac{\pi}{6}$, then $y = csc~\frac{\pi}{2} = 1$
When $x = \frac{2\pi}{3}$, then $y = csc~\pi$ (which is undefined)
When $x = \frac{7\pi}{6}$, then $y = csc~\frac{3\pi}{2} = -1$
When $x = \frac{5\pi}{3}$, then $y = csc~2\pi$ (which is undefined)
We can see the graph below.