Find a Polar Equation of the Conic with Its Focus $e = 1$

Multiple Choice

Find a polar equation of the conic with its focus at the pole. ​
Conics
Eccentrity
Directrix
Parabola $e = 1$ $x = - 4$ ​
​

A) $$r = \frac { 4 } { 1 - \sin \theta }$$ ​
B) $$r = \frac { 4 } { 1 - \cos \theta }$$
C) $r = \frac { - 4 } { 1 - \cos \theta }$
D) $r = \frac { 4 } { 1 + \sin \theta }$ ​
E) $r = \frac { 4 } { 1 + \cos \theta }$