1. write a quadratic function, in standard form, that fits the set of points. solve it as a system of three equations (-4, 9), (0, -7), and (1, -1)

The equation is

Step-by-step explanation:

Let the quadratic function be

The point (-4,9) must satisfy this function,

The point (0,-7) must also satisfy this function,

The point (1,-1) must also satisfy this function,

We put equation 2 into equation 1 to get;

We again put equation 2 into equation 3 to get;

We add equation 5 and 6 to get;

We put into equation 6 to get;

The equation is therefore