Answer
parabola, directrix is parallel to the polar axis, 3 units below the pole.
Work Step by Step
Given $r=\frac{3}{1-sin\theta}$, we have $e=1$, thus it is a parabola. From the equation and with the $-sin\theta$ term, we know $p=3$ and the directrix is parallel to the polar axis, 3 units below the pole.
