### Home > CCAA8 > Chapter 11 Unit 12 > Lesson CCA: 11.1.1 > Problem 11-13

11-13.

Based on each graph, give a possible equation for the parabola. *11-13 HW eTool* (Desmos).

A quadratic equation forms a parabola when graphed. When

equalsor , equals. This means that and are roots of the equation. If you know the roots, can you find the factors for a possible equation? The factors for a possible equation are

.

See the hint for part (a).

See the hint for part (a). Because the parabola intersects the

-axis at only one point, its equation has a single factor, which is squared.

Use the eTool below to help you write and check a possible equation for each parabola.

Click on the link at right for the full eTool version: CCA 11-13 HW eTool