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