Answer
See graph and explanations.
Work Step by Step
a. See graph, red curve.
b. For the reciprocal function $y=-3sec(\frac{x}{2})$, at $x=-\pi,\pi,3\pi,5\pi$, the original function values are on the x-axis; thus the reciprocal function (blue curve) will be undefined and have vertical asymptotes at these locations.