Answer
See graph and explanations.
Work Step by Step
1. Rewrite the function as $y=-4csc(\frac{1}{2}x)=\frac{-4}{sin(\frac{1}{2}x)}$, we have $p=\frac{2\pi}{\frac{1}{2}}=4\pi$.
2. Graph $y=-4sin(\frac{1}{2}x)$ (blue), use the reciprocal property to get $y=-4csc(\frac{1}{2}x)$ (red).
