Answer
See graph.
Work Step by Step
1. Given $y=\frac{1}{2}sec(3x-\pi)$, we can identify: period$=\frac{2\pi}{3}$, phase shift$=\frac{\pi}{3}$.
2. To graph $y=\frac{1}{2}sec(3x-\pi)$, start with one period of $y=sec(x)$, compress horizontally by a factor of $3$, shift $\frac{\pi}{3}$ 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.