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