Answer
II
Work Step by Step
Given the function $r=1+3sin(3\theta)$, we can identify II as its graph by the following features:
1. it starts at $\theta=0, r=4,$
2. its radial maximum is $r=4$, so all the graph should be within a circle of radius 4.
3. three loops are expected due to the factor of 3 before $\theta$ in a cosine function.