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