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Lesson: Completing the Square

Learn how to complete the square in this lesson. Learn how to do this for expressions where the coefficient of the leading term is one and then for when it is greater than or less than one.

Video: Introducing the Completing the Square Format of a Quadratic Equation

Video: Improving Your Proficiency in Rearranging Quadratic Expressions to the Completing the Square Form

Worksheet: Completing the Square • 7 Questions

Q1:

Given that , what are the values of and ?

Q2:

Given that , what are the values of and ?

Q3:

Given that , what are the values of and ?

A, ,
B, ,
C, ,
D, ,
E, ,

Q4:

Given that , what are the values of , , and ?

A, ,
B, ,
C, ,
D, ,
E, ,

Q5:

What is the vertex form of the function ?

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