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Vocabulary
Fill in the empty boxes.
Word  Definition 
___________  The characteristic shape of a quadratic function graph, resembling a bowl or the silhouette of a bell 
Vertex  ______________________________________________________________ 
Quadratic Form  ______________________________________________________________ 
___________  
Standard Form  ______________________________________________________________ 
___________ 
excellent for finding x intercepts, is: 
Factoring Polynomials
Choose a name for each method to help you remember. Also, fill in any blanks.
Method  Equation Example  Steps 
________________________ 


________________________ 
Difference of squares: Factor with difference of squares also: _______________________________


________________________ 
Pull out Greatest Common Factor: ________________________________ Use a combination of the first two methods to factor the rest: _________________________________ 
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Remember: Pull out the Greatest Common Factor if there is one!
Graphing Quadratic Functions
Complete the following table.
Form  Equation  Used For 
___________  ________________________  
Vertex Form  ________________________  ________________________ 
___________  ________________________ 
finding x intercepts 
Answer the following questions:
 Which letter of which form is the yintercept? _____________________
 Where is the vertex in vertex form? _____________________
 How do you find the vertex in standard form? _____________________
 What is the axis of symmetry and how do you find it from standard form? _____________________
Practice
Factor the following completely:
Answer the following questions:

Which direction does a parabola open if the leading coefficient ( a ) is negative?

Consider the quadratic functions: Which quadratic function would you expect to have the widest parabola? Explain your answer.
Sketch the graph of each function:
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