Answer
parabola with directrix perpendicular to the polar axis and 4 unit(s) to the left of the pole.
See graph.
Work Step by Step
1. Given $r=\frac{4}{1-cos\theta}$, compared with a standard form, we have $e=1, p=4$
2. We can identify that it is a parabola with directrix perpendicular to the polar axis and 4 unit(s) to the left of the pole.
3. See graph.
