Find the Rule of a Quadratic Function Whose Graph Has $(3,-4)$

Multiple Choice

Find the rule of a quadratic function whose graph has the given vertex and passes through the given point.
-vertex $(3,-4)$ ; point $(2,-7)$

A) $f(x) =(x-3) ^{2}-4$
B) $f(x) =2(x-3) ^{2}-4$
C) $f(x) =-3(x-3) ^{2}-4$
D) $f(x) =-3(x+3) ^{2}-4$