#### Answer

The graph of $$r=\frac{3}{2-2\cos\theta}$$ is a side-way parabola with eccentricity $1$.See the attached graph.

#### Work Step by Step

As we are given that $r=\frac{3}{2-2cos\theta}$
This can be rewritten as:
$r=\dfrac{(3/2)}{1-\cos\theta}$
$r=\dfrac{(1).(3/2)}{1-(1).cos\theta}$
The graph of $$r=\frac{3}{2-2\cos\theta}$$ is a side-way parabola with eccentricity $1$.See the attached graph.