Write an Equation for the Quadratic Function Whose Graph Contains $( 2 , - 5 )$

Multiple Choice

Write an equation for the quadratic function whose graph contains the given vertex and point.
-Vertex $( 2 , - 5 )$ , point $( - 4 , - 41 )$

A) $P ( x ) = x ^ { 2 } - 4 x - 5$
B) $P ( x ) = - 4 x ^ { 2 } - 4 x + 9$
C) $P ( x ) = - x ^ { 2 } + 4 x - 9$
D) $P ( x ) = - x ^ { 2 } - 2 x - 5$