Linear and Quadratic Functions: Graphing Zeros and Min ⁄ Max Values

Vertex of a Function (continued)

If we look at the quadratic function f(x) = ax2 + bx + c, to find the vertex of any quadratic (h, k) find the value of negative b over 2 a and insert this value into the function.

Vertex = (h, k) = the point negative b divided by 2 a, f of negative b divided by 2 a

The axis of symmetry goes right through the vertex. The equation for the axis of symmetry is x equals negative b divided by 2 a

image Example: Finding the Vertex of a Function

Let’s look at an example of how to find the vertex of a function. Select the play button to begin the example, and then use the solve button to view the solution and use the navigation buttons to pause/stop the example. View the presentation as often as you would like, and take notes as you follow along.  Be sure to set your volume at a reasonable level before you begin.

Download the activity as a PDF.