Answer
See graph and explanations.
Work Step by Step
Step 1. Graph both $r=\frac{4}{1-sin\theta}$ (red) and $r=\frac{4}{1-sin(\theta-\frac{\pi}{4})}$ (blue) as shown in the figure.
Step 2. We can see that the blue curve is the result of the red curve rotated $\frac{\pi}{4}$ counterclockwise around the pole.