Answer
See graph.
Work Step by Step
1. Given $y=-csc(-\frac{1}{2}\pi x+\frac{\pi}{4})$, we can find its period$=\frac{2\pi}{\frac{1}{2}\pi}=4$, phase shift$=\frac{1}{2}$.
2. Start with one period of $y=csc(x)$, stretch horizontally by a factor of 2, reflect across the y-axis, shift $\frac{1}{2}$ unit to the right, then reflect across the x-axis. Repeat the resulting curve horizontally to cover the window.
3. See graph.