A Function and Its Graph Are Given $$A = 15$$ Confirm Your Results Analytically

Multiple Choice

A function and its graph are given. Use the graph to find the horizontal asymptotes, if they exist, where $$A = 15$$ Confirm your results analytically. $$f ( x ) = \frac { 5 x ^ { 2 } } { ( x - 2 ) ^ { 2 } }$$

A) $y = 2$
B) $y = 5$
C) $y = 1$
D) $y = 0$
E) no horizontal asymptotes