Write an equation for a quadratic function in factored form with zeros at x = -4 and x = 0 that passes through the point (-3,6).

Step-by-step explanation:

We want to find the equation of a quadratic function in factored form with zeros at x = -4 and x = 0 that passes through the point (-3, 6).

The factored form of a quadratic is given by:

Where p and q are the zeros and a is the leading coefficient.

Since we have zeros at x = -4 and x = 0, let p = -4 and q = 0. Substitute:

Simplify:

And since we know that the function passes through the point (-3, 6), f(x) = 6 when x = -3. Thus:

Simplify:

Thus:

So, our quadratic function is:

the anwser is d) 75°

step-by-step explanation: