Find a Polar Equation of the Conic with Its Focus $\begin{array} { l l l } \text { Conics } & \text { Eccentrity } & \text { Directrix } \\\text { Parabola } & e = 1 & x = - 4\end{array}$

Multiple Choice

Find a polar equation of the conic with its focus at the pole.
$\begin{array} { l l l } \text { Conics } & \text { Eccentrity } & \text { Directrix } \\\text { Parabola } & e = 1 & x = - 4\end{array}$

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) $r = \frac { 4 } { 1 + \cos \theta }$