A1.QFE.9
Use factoring and completing the square to create equivalent forms of quadratic functions to reveal key attributes.
Example Problems
Factor completely:
Factor completely:
Factor completely:
Khan Academy ResourcesSolving quadratics by completing the squareSolving quadratics by factoring reviewGraphing quadratics reviewCompleting the square reviewSolving quadratics by factoringQuadratics by factoring (intro)Completing the square (intermediate)Completing the squareQuadratics by factoringGraph parabolas in all formsGraph quadratics in standard formQuadratic word problems (standard form)Solve equations by completing the squareInterpret quadratic modelsSolve equations using structureCompleting the square (intro)Features of quadratic functionsFeatures of quadratic functions: strategyStrategy in solving quadraticsWorked example: completing the square (leading coefficient ≠ 1)Completing the squareSolving quadratics by factoringVertex & 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 functionsSolving quadratics by factoring: leading coefficient ≠ 1Worked 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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