Answer
See graph and explanations.
Work Step by Step
Step 1. Rewrite the given equation as $r=\frac{3}{1-sin\theta}$ and compare with one of the standard forms.
Step 2. We can identify $e=1, ep=3, p=3$; the conic is a parabola with directrix $y=-3$
Step 3. Based on the standard plot, with test values, we can graph the equation as shown in the figure.