Introduction to Quadratic Functions Objective: Define, identify, and graph quadratic functions. Multiply binomials to produce a quadratic expression.

Quadratic Functions A quadratic function is any function that can be written in the form where. It is defined by a quadratic expression, which is an expression of the form, where.

Example 1

You Try Let. Show that g represents a quadratic function. Identify a, b, and c when the function is written in the form.

You Try Let. Show that g represents a quadratic function. Identify a, b, and c when the function is written in the form. F O I L

Example 2

Try This Identify whether has a minimum value or maximum value at the vertex. Then, give the coordinates of the vertex.

Try This Identify whether has a minimum value or maximum value at the vertex. Then, give the coordinates of the vertex. Maximum.

Try This Identify whether has a minimum value or maximum value at the vertex. Then, give the coordinates of the vertex. Maximum.

Try This Identify whether has a minimum value or maximum value at the vertex. Then, give the coordinates of the vertex.

Try This Identify whether has a minimum value or maximum value at the vertex. Then, give the coordinates of the vertex. Minimum.

Try This Identify whether has a minimum value or maximum value at the vertex. Then, give the coordinates of the vertex. Minimum.

Example 3

Homework Page odd