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**Solving Quadratic Equations**

Components of Quadratic Functions Medina

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**Graph of a Quadratic Function**

The quadratic equation must be in Standard Form ax²+ bx + c = 0 Re-write the related quadratic function y = ax²+ bx + c When the function is graphed it makes a parabola Minimum Maximum Open down Open up The solutions or roots of quadratic equations are the x-intercepts of the quadratic function.

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**Graph of a Quadratic Function**

Identify component of a quadratic function y = x² + 2x -3 ( -1 , -4 ) Vertex (-3 , 0 ) (1 , 0 ) X-intercept(s) ( 0 , -3) Y-intercept Y-Minimum =-4 Y-minimum or maximum Axis of symmetry x = -1

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**Graph of a Quadratic Function**

Identify component of a quadratic function y = -x² + 4x -3 ( 2 , 1) Vertex ( 3 , 0 ) ( 1 ,0 ) X-intercept(s) ( 0 , -3 ) Y-intercept Y-Maximum =1 Y-minimum or maximum Axis of symmetry x = 2

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