This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Any quadratic function with roots -10 and -4 is of form

Since the given vertex, (-7,-9), is a point on the graph of f(x) :

Therefore the required quadratic function is f(x)=1(x+10)(x+4), which is same as \boxed{f(x)=x^2+14x+40}