Write an Equation for the Quadratic Function Whose Graph Contains $( 2,4 )$

Multiple Choice

Write an equation for the quadratic function whose graph contains the given vertex and point.
-Vertex $( 2,4 )$ , point $( 5,22 )$

A) $P ( x ) = - 2 x ^ { 2 } - 8 x + 4$
B) $P ( x ) = 2 x ^ { 2 } - 8 x + 12$
C) $P ( x ) = 5 x ^ { 2 } - 8 x - 12$
D) $P ( x ) = 2 x ^ { 2 } - 2 x + 4$