Answer
see graph.
Work Step by Step
For $y=tan(\frac{x}{2}+\pi)=tan[\frac{1}{2}(x+2\pi)]$, we can identify its period as $p=\frac{\pi}{1/2}=2\pi$, phase shift as $2\pi$ to the left, see graph.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.