MIII.F-IF.C.8.a: Use the process of factoring in a polynomial function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

Use the process of factoring in a polynomial function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

Example Problems
Let .
What is the absolute minimum value of ?
Let .
What is the absolute minimum value of h?
Let .
What is the absolute minimum value of y?
Khan Academy Resources
Solving quadratics by factoring reviewCompleting the square reviewSolving quadratics by factoringQuadratics by factoring (intro)Completing the square (intermediate)Completing the squareQuadratics by factoringSolve equations using structureCompleting the square (intro)Worked example: completing the square (leading coefficient ≠ 1)Completing the squareSolving quadratics by factoringSolving quadratics by completing the square: no solutionFinding the vertex of a parabola in standard formSolving quadratics by factoring: leading coefficient ≠ 1Worked example: Rewriting & solving equations by completing the squareWorked example: Rewriting expressions by completing the square
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