Answer
$$r = 4\left( {\sec \theta - \cos \theta } \right)$$
Work Step by Step
$$\eqalign{
& r = 4\left( {\sec \theta - \cos \theta } \right) \cr
& {\text{Using a graphing utility to graph the polar equation }}\left( {{\text{Geogebra}}} \right) \cr} $$