Aquadratic function is a function of the form y=ax^2+bx+c where a, b, and c are constants. given any 3 points in the plane, there is exactly one quadratic function whose graph contains these points. find the quadratic function whose graph contains the points (0, -2), (-5, -17), and (3, -17). enter the equation below. function: y = 0

The quadratic function whose graph contains these points is

Step-by-step explanation:

We know that a quadratic function is a function of the form . The first step is use the 3 points given to write 3 equations to find the values of the constants a,b, and c.  

Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.

We can solve these system of equations by substitution

The solutions to the system of equations are:

b=-2,a=-1,c=-2

So the quadratic function whose graph contains these points is

As you can corroborate with the graph of this function.