Recognize that a quadratic function has different equivalent representations [π(π₯) = ππ₯^2 + ππ₯ + π, π(π₯) = π(π₯ β β)^2 + π, πππ π(π₯) = π(π₯ β π)(π₯ β π)]. Identify and use the mathematical model that is most appropriate to solve problems.
Example Problems
Convert to vertex form.
Expand and combine like terms:
Expand and combine like terms:
Khan Academy ResourcesGraphing quadratics reviewQuadratics by factoring (intro)Quadratics by factoringGraph quadratics in vertex formQuadratic word problems (standard form)Interpret quadratic modelsNumber of solutions of quadratic equationsInterpret a quadratic graphFeatures of quadratic functionsFeatures of quadratic functions: strategyQuadratic word problems (factored form)Quadratic equations word problem: triangle dimensionsQuadratic equations word problem: box dimensionsFinding the vertex of a parabola in standard formInterpret quadratic models: Factored formZero product propertyQuadratic word problems (vertex form)Comparing maximum points of quadratic functionsForms & features of quadratic functionsQuadratic word problems (factored form)Solving quadratics by factoring: leading coefficient β 1Worked examples: Forms & features of quadratic functionsComparing features of quadratic functionsInterpret quadratic models: Vertex formFinding features of quadratic functions
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