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Complete the Square (Min, Max)




 

Videos and lessons to help High School students learn to choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

A. Factor a quadratic expression to reveal the zeros of the function it defines.

B. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.


Suggested Learning Targets


  • Write expressions in equivalent forms by completing the square to convey the vertex form, to find the maximum or minimum value of a quadratic function, and to explain the meaning of the vertex

Common Core: HSA-SSE.B.3b

Related Topics:
Common Core (Algebra)

Common Core for Mathematics

The Max and Min of a Quadratic Function by Completing the Square.
Completing the Square and Vertex Form.



Complete the square in a quadratic expression to reveal the max or min value (A-SSE.3b)
In this lesson you will learn to rewrite a quadratic function to reveal the maximum value by completing the square.
Complete the square in a quadratic expression to reveal the max or min value (A-SSE.3b)
In this lesson you will learn to rewrite a quadratic function to reveal the minimum value by completing the square.


 
Complete the square to find the maximum or minimum value of a quadratic function--1 of 2 (A-SSE.3b)
In this lesson you will learn how to determine whether a quadratic function has a minimum or maximum value by examining the sign of the leading coefficient.
Complete the square to find the maximum or minimum value of a quadratic function--2 of 2 (A-SSE.3b)
In this lesson you will learn how to identify the location of the vertex of a quadratic function in a coordinate plane by identifying the translation of the vertex from the origin.

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Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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