Answer
See graph below.
Work Step by Step
The question ONLY asks for a graph of the polar equation.
Given $r = \cos θ - 1 $
Table of Values:
$(0, 0)$
$(-1/2, \frac{\pi}{3})$
$(-1, \frac{\pi}{2})$
$(-3/2, \frac{2\pi}{3})$
$(-2, \pi)$
$(-3/2, \frac{4\pi}{3})$
$(-1, \frac{3\pi}{2})$
$(-1/2, \frac{5\pi}{3})$
See graph below. It is in the shape of a cardioid.