Answer
See graph below.
Work Step by Step
The question ONLY asks for a graph of the polar equation.
Given $r =3 + 6 \sin θ$
Table of Values:
$(3, 0)$
$(6, \frac{\pi}{6})$
$(9, \frac{\pi}{2})$
$(6, \frac{5\pi}{6})$
$(3, \pi)$
$(0, \frac{7\pi}{6})$
$(-3, \frac{3\pi}{2})$
$(0, \frac{11\pi}{6})$
See graph below. It is in the shape of a cardioid with a loop.
