Answer
See graph.
Work Step by Step
1. Given $y=3csc(2x-\frac{\pi}{4})$, we can identify: amplitude$=3$, period$=\frac{2\pi}{2}=\pi$, phase shift$=\frac{\pi}{8}$.
2. To graph $y=3csc(2x-\frac{\pi}{4})$, start with one period of $y=csc(x)$, compress horizontally by a factor of $2$, shift $\frac{\pi}{8}$ to the right, then stretch vertically by a factor of $3$. Repeat the resulting curve horizontally a few times to cover the entire window.
3. See graph.