Write a quadratic equation in one variable that is true for the three data points (0, 0), (1, 2), and (2, 8) by solving a system of three equations based on the standard form of a quadratic equation, . Then, use your equation to find the -value for a fourth point on the same graph that has an -value of 3.

Use the given data points to write three equations using the standard form of a quadratic equation.

Examine the resulting equations for any common traits that can be used to simplify them.

Use the results to solve for another variable.

Use the values determined for , , and to write the quadratic equation that is true for the three data points.

Use the resulting quadratic equation model for the three given points to predict the location of a fourth point for which .

This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information.