Find a Polar Equation of the Conic with Its Focus $\quad$

Multiple Choice

Find a polar equation of the conic with its focus at the pole.
Conics $\quad$$\quad$ Eccentricity $\quad$$\quad$ Directrix
Ellipse $\quad\quad\quad e = \frac { 1 } { 2 } \quad\quad\quad y = -3$

A) $r = \frac { 4 } { 2 - \sin \theta }$
B) $r = \frac { 3 } { 2 - \sin \theta }$
C) $r = \frac { 3 } { 2 - 4 \sin \theta }$
D) $r = \frac { - 3 } { 2 - 4 \sin \theta }$
E) $r = \frac { 3 } { 2 + \sin \theta }$