M2.F.IF.C.7.a
Rewrite quadratic functions to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a real-world context.
Example Problems
Let
Where does p have critical points?
Where does p have critical points?
Determine the vertex of the parabola represented by:
Determine the vertex of the parabola represented by:
Khan Academy ResourcesGraphing quadratics reviewCompleting the square reviewCompleting the square (intermediate)Completing the squareGraph parabolas in all formsGraph quadratics in standard formQuadratic word problems (standard form)Interpret quadratic modelsCompleting the square (intro)Features of quadratic functionsFeatures of quadratic functions: strategyWorked example: completing the square (leading coefficient ≠ 1)Completing the squareSolving quadratics by completing the square: no solutionFinding the vertex of a parabola in standard formInterpret 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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