Answer
See the attached graph.
Work Step by Step
Given:$r=\frac{3}{2-2cos\theta}$
or
$r=\frac{(3/2)}{1-cos\theta}=\frac{(1).(3/2)}{1-(1).cos\theta}$
The graph of $r=\frac{3}{2-2cos\theta}$ is a side-ways parabola with eccentricity $1$.
See the attached graph.
