Completing The Square

Completing the square is a method that is used to write a quadratic expression in a form that helps to solve quadratic equations and curve sketching of quadratic graphs. Before starting, I am assuming that you are familiar with squaring a bracket. If not I would encourage you to look at this short video on squaring a bracket.
In this series of three tutorials I take you through all the different types, depending on the nature of the x2 term.

Use the Desmos calculator to investigate further completing the square

Completing the square for x2 terms where the coefficient is 1

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Terms in x2, have coefficients 2, 3, … such as 2x2, 3x2

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Terms in x2, are negative such as -x2, -2x2,…

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Comparing Terms: (1 of 2)

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Comparing Terms: (2 of 2)

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Applications: (1 of 3)

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Applications: (2 of 3) Curve sketching (part 1)

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Applications: (3 of 3) Curve sketching (part 2)

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