Find the Eccentricity and Directrix of the Conic $r = \frac { 3 } { 1 - \cos \theta / 2 }$

Essay

Find the eccentricity and directrix of the conic $r = \frac { 3 } { 1 - \cos \theta / 2 }$ and graph the conic. Find an equation for the conic rotated counterclockwise about the origin through an angle $\pi / 6$ , and graph it.