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.


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