Find the rule of a quadratic function whose graph has the given vertex and passes through the given point.

vertex $(3,-4)$; point $(2,-7)$

$f(x)=-3(x-3{)}^2-4$

$f(x)=(x-3{)}^2-4$

$f(x)=-3(x+3{)}^2-4$

$f(x)=2(x-3{)}^2-4$