Simplify the Difference Quotient $\frac { f ( x + h ) - f ( x ) } { h } \text {, if } h \neq 0$

Multiple Choice

Simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } \text {, if } h \neq 0$ for $f ( x ) = x ^ { 2 } + 4$

A) $\frac { f ( x + h ) - f ( x ) } { h } = x + h$
B) $\frac { f ( x + h ) - f ( x ) } { h } = 2 x$
C) $\frac { f ( x + h ) - f ( x ) } { h } = 2 x + h$
D) $\frac { f ( x + h ) - f ( x ) } { h } = 2 x + h + 8$
E) $\frac { f ( x + h ) - f ( x ) } { h } = 2 x + h ^ { 2 }$