Determine Which of the Rational Functions Given Below Has the Following

Multiple Choice

Determine which of the rational functions given below has the following feature(s) .
- $x$ -intercepts: $- 2$ and $- 4$ , $y$ -intercepts: $\frac { 1 } { 2 }$ , vertical asymptote: $x = 4$ , horizontal asymptote: $y = 1$

A) $f ( x ) = \frac { ( x - 2 ) ( x - 4 ) } { ( x + 4 ) }$
B) $f ( x ) = \frac { ( x - 2 ) ( x - 4 ) } { ( x + 4 ) ^ { 2 } }$
C) $f ( x ) = \frac { ( x + 2 ) ( x + 4 ) } { ( x - 4 ) }$
D) $f ( x ) = \frac { ( x + 2 ) ( x + 4 ) } { ( x - 4 ) ^ { 2 } }$