The graph of a quadratic function has x-intercepts of -7and -1 ,and passes through the point (-4,36). determine the equation of the quadratic function in the form f(x)=a(x-m)(x-n)

Step-by-step explanation:

Quadratic equation:

A quadratic equation, with roots(x-intercepts) at and , and leading coefficient a, is given by:

Has x-intercepts of -7 and -1

So . Thus

Passes through the point (-4,36).

This means that when , and we use this to find the leading coefficient.

So

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11