Find the Rule of a Quadratic Function Whose Graph Has $(4,5)$

Multiple Choice

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point.
-vertex $(4,5)$ ; point $(6,9)$

A) $P(x) =-x^{2}-8 x+5$
B) $P(x) =x^{2}-4 x+5$
C) $P(x) =x^{2}-8 x+21$
D) $P(x) =6 x^{2}-8 x+21$