Find the Quadratic Function $f$ Whose Graph Intersects The $x$ -Axis At $( 1,0 )$

Multiple Choice

Find the quadratic function $f$ whose graph intersects the $x$ -axis at $( 1,0 )$ and $( 4,0 )$ and the $y$ -axis at $( 0,4 )$ .

A) $f ( x ) = - x ^ { 2 } - 3 x - 4$
B) $f ( x ) = x ^ { 2 } - 5 x + 4$
C) $f ( x ) = x ^ { 2 } + 3 x + 4$
D) $f ( x ) = - x ^ { 2 } + 3 x + 4$
E) $f ( x ) = - x ^ { 2 } + 5 x + 4$