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