IA.ASE.3b

Determine the maximum or minimum value of a quadratic function by completing the square.

Example Problems
For the given function:


Rewrite the equation in the form of a perfect square (e.g. ) by completing the square.
For the given function:


Rewrite the equation in the form of a perfect square (e.g. ) by completing the square.
For the given function:


Rewrite the equation in the form of a perfect square (e.g. ) by completing the square.
Khan Academy Resources
Solving quadratics by completing the squareCompleting the square reviewCompleting the square (intermediate)Completing the squareSolve equations by completing the squareCompleting the square (intro)Strategy in solving quadraticsWorked example: completing the square (leading coefficient ≠ 1)Completing the squareWorked example: Completing the square (intro)Solving quadratics by completing the square: no solutionFinding the vertex of a parabola in standard formSolve by completing the square: Non-integer solutionsSolve by completing the square: Integer solutionsWorked example: Rewriting & solving equations by completing the squareWorked example: Rewriting expressions by completing the square
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