Answer
See graph.
Work Step by Step
1. Given $y=-tan(3x+\frac{\pi}{2})$, we can find its period$=\frac{2\pi}{3}$, phase shift$=-\frac{\pi}{6}$.
2. Start with one period of $y=tan(x)$, compress horizontally by a factor of 3, shift $\frac{\pi}{6}$ to the left, then reflect across the x-axis. Repeat the resulting curve horizontally to cover the window.
3. See graph.