Find the Eccentricity and Directrix of the Conic $r = \frac { 6 } { 2 + 2 \sin \theta }$

Essay

Find the eccentricity and directrix of the conic $r = \frac { 6 } { 2 + 2 \sin \theta }$ and graph the conic. Find an equation for the conic rotated clockwise about its vertex through an angle $3 \pi / 2$ , and graph it.