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)

Step-by-step explanation:

Let the quadratic function be

We substitute into the equation to obtain;

We substitute to obtain;

We finally substitute to obtain;

We put equation (2) into equation (1) to get;

We add equation (4) and (5) to get;

We put into equation (5) to get;

The reqiured quadratic function is

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.