Suppose you are given a graph of $r = f \left(θ\right)$ where $f$ is some function.

1. What equation would rotate the graph $90°$counter-clockwise?

   Answer (a):

   $r = f(\theta-90º)=f(\theta-\frac{\pi}{2})$

2. What equation would rotate the graph $90°$ clockwise?

   Hint (b):

   How is this answer going to be the same as and/or different from the answer to part (a)?