Find the equation of the quadratic function with roots -8 and -6, "a" less than zero, and a vertex at (-7, 2).

ANSWER

EXPLANATION

We have that

are the roots of the quadratic function.

This implies that

are factors of the quadratic function.

The quadratic function will have an equation of the form:

It was also given that, the vertex of the function is at

This point must satisfy the equation.

This implies that:

This implies that,

We substitute the value of 'a' to get the equation in factored form as:

We expand the parenthesis to write the equation in standard form.

Or in vertex form, the equation is

452,489 to the nearest thousand is 452,000

stethere all not eveanp-by-step explanation: