Write an Equation for the Quadratic Function Whose Graph Contains $( 4,1 )$

Multiple Choice

Write an equation for the quadratic function whose graph contains the given vertex and point.
-Vertex $( 4,1 )$ , point $( - 1,76 )$

A) $P ( x ) = - 24 x + 49$
B) $P ( x ) = 3 x ^ { 2 } - 24 x + 49$
C) $P ( x ) = 3 x ^ { 2 } - 4 x + 1$
D) $P ( x ) = - 3 x ^ { 2 } - 24 x + 1$