Find a Polar Equation of the Conic with the Given

Multiple Choice

Find a polar equation of the conic with the given characteristics and with one focus at the pole.
$\begin{array}{cl}\text { Conic } & \text { Vertices } \\\text { Hyperbola } & \left(\frac{2}{3}, \frac{\pi}{2}\right) ,\left(-2, \frac{3 \pi}{2}\right) \end{array}$

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