The Eccentricity Is Given of a Conic Section with One $$e = \frac { 1 } { 4 } , x = 2$$

Multiple Choice

The eccentricity is given of a conic section with one focus at the origin, along with the directrix corresponding to that focus. Find a polar equation for the conic section.
- $$e = \frac { 1 } { 4 } , x = 2$$

A) $r = \frac { 2 } { 4 + \cos \theta }$
B) $r = \frac { 2 } { 4 + \sin \theta }$
C) $r = \frac { 2 } { 1 + 4 \cos \theta }$
D) $r = \frac { 2 } { 4 - \cos \theta }$