A1.6.b

Use the vertex form of a quadratic expression to reveal the maximum or minimum value and the axis of symmetry of the function it defines; complete the square to find the vertex form of quadratics with a leading coefficient of one.

Khan Academy Resources

Solving quadratics by completing the squareGraphing quadratics reviewCompleting the square reviewCompleting the square (intermediate)Completing the squareGraph parabolas in all formsGraph quadratics in standard formQuadratic word problems (standard form)Solve equations by completing the squareInterpret quadratic modelsCompleting the square (intro)Features of quadratic functionsFeatures of quadratic functions: strategyWorked example: completing the square (leading coefficient ≠ 1)Completing the squareVertex & axis of symmetry of a parabolaWorked 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 solutionsComparing maximum points of quadratic functionsWorked examples: Forms & features of quadratic functionsInterpret quadratic models: Vertex formGraphing quadratics: standard formWorked example: Rewriting & solving equations by completing the squareWorked example: Rewriting expressions by completing the square

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