### Home > A2C > Chapter 8 > Lesson 8.1.1 > Problem 8-7

8-7.

Find the equation of the parabola that passes through the points

There are three ways to approach this problem.

Use the -intercepts.

Notice that -intercepts.

What are the factors?

The equation is .

Substitute

*a*.

Use the vertex.

Notice that since

Write the equation in vertex form.

The equation is .

Substitute one of the

*-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 is you can substitute it into all of the equations and solve a system of two equations in two variables.