Answer
See graph.
Work Step by Step
Step 1. Given $y=3csc(2x-\frac{\pi}{4})=3csc[2(x-\frac{\pi}{8})]$, we can find the period $p=\frac{2\pi}{2}=\pi$, and phase shift $\phi=\frac{\pi}{8}$.
Step 2. To plot, start from one period of $y=csc(x)$, shift $\phi$ units to the right, shrink horizontally by a factor of $\frac{1}{2}$, then stretch vertically by a factor of $3$, and then use the period to repeat the resulting curve. See graph.
