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Warmup 9-11 Solve the following equations by factoring. Show work! 1.x 2 + 16x - 80 = 0 2.Solve by using the quadratic formula: 4x 2 - 5x - 2 = 0 3.Solve.

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Presentation on theme: "Warmup 9-11 Solve the following equations by factoring. Show work! 1.x 2 + 16x - 80 = 0 2.Solve by using the quadratic formula: 4x 2 - 5x - 2 = 0 3.Solve."— Presentation transcript:

1 Warmup 9-11 Solve the following equations by factoring. Show work! 1.x 2 + 16x - 80 = 0 2.Solve by using the quadratic formula: 4x 2 - 5x - 2 = 0 3.Solve by taking the square root: 6x 2 + 17 = 167

2 Geometry Graphing Quadratics in Standard Form with Tables Examples Convert each quadratic into vertex form. Identify the vertex and Axis of Symmetry for each problem. Then graph the quadratic equations by making a table of values. Show work! 1. y = x 2 – 4x + 9 : Vertex Form: _____________ Vertex: ________ A. O S.: ________ 2. y = -x 2 – 12x - 39 Vertex Form: ______________ Vertex: __________ A. O S.: ________ 3.y = 2x 2 + 12x + 11 Vertex Form: ______________ Vertex: __________ A. O S.: ________ X Y X Y X Y

3 Geometry Graphing Quadratics in Standard Form with Tables Examples Convert each quadratic into vertex form. Identify the vertex and Axis of Symmetry for each problem. Then graph the quadratic equations by making a table of values. Show work! 4. y = -2x 2 + 16x - 23 : Vertex Form: _____________ Vertex: ________ A. O S.: ________ 5. y = 3x 2 + 30x + 69 Vertex Form: ______________ Vertex: __________ A. O S.: ________ 6. y = -4x 2 + 56x - 188 Vertex Form: ______________ Vertex: __________ A. O S.: ________ X Y X Y X Y

4 Geometry Graphing Quadratics in Standard Form with Tables Practice Convert each quadratic into vertex form. Identify the vertex and Axis of Symmetry for each problem. Then graph the quadratic equations by making a table of values. Show work! 1. y = -x 2 – 14x - 40 Vertex Form: _____________ Vertex: ________ A. O S.: ________ 2.y = 2x 2 – 12x + 13 Vertex Form: ______________ Vertex: __________ A. O S.: ________ 3.y = x 2 - 16x + 54 Vertex Form: ______________ Vertex: __________ A. O S.: ________ X Y X Y X Y

5 Geometry Graphing Quadratics in Standard Form with Tables Practice Convert each quadratic into vertex form. Identify the vertex and Axis of Symmetry for each problem. Then graph the quadratic equations by making a table of values. Show work! 4. y = -2x 2 – 20x - 49 : Vertex Form: _____________ Vertex: ________ A. O S.: ________ 5. y = 3x 2 – 12x + 5 Vertex Form: ______________ Vertex: __________ A. O S.: ________ 6. y = -3x 2 - 6x + 5 Vertex Form: ______________ Vertex: __________ A. O S.: ________ X Y X Y X Y


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