### Home > CCA2 > Chapter 7 > Lesson 7.1.1 > Problem 7-7

7-7.

Find the equation of the parabola that passes through the points

There are three ways to approach this problem.

Use the *x*-intercepts.

Notice that *x*-intercepts.

What are the factors?

The equation is

Substitute .

Use the vertex.

Notice that since

Write the equation in vertex form.

The equation is .

Substitute one of the

*x*-intercepts into the equation and solve for

*.*

Standard form.

Substitute the three points into the equation to make a system of equations in three variables.

Since you know what *c* is you can substitute it into all of the equations and solve a system of two equations in two variables.