Answer
$${\text{The graph represents a circle centered at }}\left( {2,0} \right){\text{ with radius}}\,2$$
Work Step by Step
$$\eqalign{
& r = 4\cos \theta \cr
& {\text{Multiply both sides by }}r \cr
& {r^2} = 4r\cos \theta \cr
& {\text{Where }}{r^2} = {x^2} + {y^2}{\text{ and }}r\cos \theta = x \cr
& {x^2} + {y^2} = 4x \cr
& {\text{Subtract }}4x{\text{ from both sides and complete the square}} \cr
& {x^2} - 4x + {y^2} = 0 \cr
& \left( {{x^2} - 4x + 4} \right) + {y^2} = 4 \cr
& {\left( {x - 2} \right)^2} + {y^2} = {2^2} \cr
& {\text{The graph represents a circle centered at }}\left( {2,0} \right){\text{ with radius}}\,2 \cr} $$
