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Finding a Quadratic Equation with the x-intercepts and Another Point

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Find a rule for the quadratic table below. Plot all the points Plug in the x-intercepts Sketch: Substitute into Factored Form: Plug in another point Solve for a Since we know the x- intercepts Equation: x-2012 y-1509129 Use symmetry to find any missing x- intercepts (3,0) (-1,0) The “a” is the GCF

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Finding a Quadratic Equation with the x-intercepts and Another Point Find a rule for the quadratic table below. Plug in the x-intercepts Substitute into Factored Form: Plug in another point Solve for a Since we know the x- intercepts Equation: x-7-6-5-4-3 Y200-10 0 There may be a GCF (adjustment value) We need to solve for “a” but there are 3 variables

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Solving Equations. -132 = 4x – 5(6x – 10) -132 = 4x – 30x + 50 -132 = -26x + 50 -182 = -26x 7 = x.

Solving Equations. -132 = 4x – 5(6x – 10) -132 = 4x – 30x + 50 -132 = -26x + 50 -182 = -26x 7 = x.

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