Vertex Form

Vertex Form

Graph a Parabola

Example

Graph the function: y = (x - 2)2 - 1.

Step 1. Find the vertex and axis of symmetry.

For this equation, the vertex is (2, -1) and the axis of symmetry is x = 2.

Step 2 . Find the y-intercept.

y = (0 - 2)2 - 1

y = (-2)2 -1

y = 4 - 1

y = 3

The y-intercept is (0, 3).

Step 3. Use the y-intercept and axis of symmetry to find another point.

Since (0, 3) is 2 units away from x = 2, the corresponding point is 2 units on the other side of the axis, therefore a point on the graph is (4, 3).

Step 4. Plot the points determined and sketch the curve.

ParabolaGraph