Graph a parabola whose intercepts are x=-3 and x=5 and whose minimum value is y =-4

Step-by-step explanation:

A parabola has the following format:

If a is positive, it's minium value is:

In which

Factoring:

, in which are the intercepts.

In this question:

So

Suppose a = 1, we have:

The minimum value will be:

We want this minimum value to be -4, which is 4 times the current minimum value, so we need to multiply a by 4. Then

And the parabola is: