Finding the Maximum Value of a Quadratic Function by Completing the Square

Finding the Maximum Value of a Quadratic Function by Completing the Square

Assessment

Interactive Video

Mathematics

1st - 6th Grade

Hard

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FREE Resource

The video tutorial explains how to rewrite quadratic functions to reveal their maximum values by completing the square. It provides step-by-step examples to demonstrate the process, highlighting common mistakes and emphasizing the importance of maintaining equation equality. The lesson concludes with a summary of key points and the benefits of rewriting functions in this form.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of having the square term equal to zero in finding the maximum value?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What values of x were tested to find the maximum value of the function, and what were the results?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how the function y = -5(x + 2)² + 43 makes it easier to identify the maximum value.

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