Vertex Form

Equation from a Graph

Given the Vertex and a Point

When given the vertex and a point without the graph, the steps will work the same way.

Example What is the equation of a parabola with a vertex at (1 , - 8) and passes through the point (2 , - 6)?

Step 1. Substitute the vertex and point into the formula and solve for the a-value.

GivenVertex1-1

Step 2. Write the equation of the parabola in vertex form.

GivenVertex1-2