Find the Quadratic Function $f$ Whose Graph Intersects The $x$ -Axis At $( - 7,0 )$

Multiple Choice

Find the quadratic function $f$ whose graph intersects the $x$ -axis at $( - 7,0 )$ and $( 1,0 )$ and the $y$ -axis at $( 0 , - 14 )$ .

A) $f ( x ) = - 2 x ^ { 2 } - 16 x - 2$
B) $f ( x ) = 2 x ^ { 2 } + 12 x - 14$
C) $f ( x ) = 2 x ^ { 2 } + 16 x - 7$
D) $f ( x ) = - 2 x ^ { 2 } + 16 x - 14$
E) $f ( x ) = - 2 x ^ { 2 } - 12 x - 14$