Answer
See graph below.
Work Step by Step
The question ONLY asks for a graph of the polar equation.
Given $r =2 + \sin θ$
Table of Values:
$(2, 0)$
$(5/2, \frac{\pi}{6})$
$(3, \frac{\pi}{2})$
$(5/2, \frac{5\pi}{6})$
$(2, \pi)$
$(3/2, \frac{7\pi}{6})$
$(1, \frac{3\pi}{2})$
$(3/2, \frac{11\pi}{6})$
See graph below. It is in the shape of a cardoid.
