Provide an Appropriate Response $r = 1 + \cos ( \theta - \pi / 6 )$

Essay

Provide an appropriate response.
-How are the graphs of $r = 1 + \cos ( \theta - \pi / 6 )$ and $r = 1 + \cos ( \theta - \pi / 4 )$ related to the graph of $r = 1 + \cos \theta$ ? In general, how is the graph of $\mathrm { r } = \mathrm { f } ( \theta - \alpha )$ related to the graph of $\mathrm { r } = \mathrm { f } ( \theta )$ ?