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Exploring Quadratic Functions

Let's begin by exploring various graphs and equations. By studying the attributes of the examples and non-examples, you should be able to

identify graphs of quadratic function

identify equations of a quadratic function

define a quadratic function

describe the characteristics of a quadratic function

The following functions are NOT quadratic functions:

The following ARE quadratic functions:

Based on the graphs above, DESCRIBE several characteristics of a quadratic function.

Characteristics:

The following are NOT equations of quadratic functions:

The following ARE equations of quadratic functions:

Describe the difference between the examples and the non-examples of these equations:

Now try to define a quadratic function using both parts of this exploration:

Summary of Quadratic Functions:

The General Form of a Quadratic Equation is .

The graph of a quadratic equation is a parabola.