Find the Quadratic Function F Whose Graph Intersects the X-Axis $f ( x ) = - x ^ { 2 } - 3 x - 4$

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) $f ( x ) = - x ^ { 2 } + 5 x + 4$