Assume the ball passes through the points (3,8), (5,20/3), and (6,5) . use this data to set up a system of three equations and three unknowns (a, b, and c) that will allow you to find the equation of the parabola. write the system in the space provided.

To solve this question:

First, we need to know the standard equation of a parabola.Then, with the three points given, we can build a system of three equations.

Doing this, we get that the system is, with the 3 equations:

Equation of a parabola:

A parabola is a second degree polynomial, having an standard equation of:

Point (3,8)

This means that when . So

Thus, is the first equation.

(5,20/3)

This means that when . Thus

Thus, is the second equation.

(6,5)

This means that when . Thus

Thus, is the third equation.

After all, the system of equations is:

A similar question is found at link

A parabola is the shape of the graph of a quadratic function. Quadratic functions have the general form:



Here, you've been given the x and y values for three points on the parabola, and you've been asked to set up a system of equations that include those three points. All this problem is really asking is to plug each of those values into the general equation.

The system should look like:



Which, when simplified, looks like:

evghbvbhv