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Name:__________ warm-up 9-5 R Use a table of values to graph y = x 2 + 2x – 1. State the domain and range. What are the coordinates of the vertex of the.

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Presentation on theme: "Name:__________ warm-up 9-5 R Use a table of values to graph y = x 2 + 2x – 1. State the domain and range. What are the coordinates of the vertex of the."— Presentation transcript:

1 Name:__________ warm-up 9-5 R Use a table of values to graph y = x 2 + 2x – 1. State the domain and range. What are the coordinates of the vertex of the graph of y = x 2 – 5x? Is the vertex a maximum or minimum? What is the equation of the axis of symmetry for y = –x 2 + 2?

2 What is the maximum height of a rocket fired straight up if the height in feet is described by h = –16t 2 + 64t + 1, where t is time in seconds?

3 Details of the Day EQ: What type of graph does a quadratic equation graph into? What type of information can you derive from the graph? I will be able to… Activities: Warm-up Review homework Notes: Quadratic Formula/ Discriminant Class work/ HW Vocabulary: Quadratic Formula discriminant. Solve quadratic equations by using the Quadratic Formula. Use the discriminant to determine the number of solutions of a quadratic equation.

4 Quadratic FormulaQuadratic FormulaQuadratic Formula Quadratic Formula Quadratic FormulaQuadratic Formula Quadratic Formula Quadratic FormulaQuadratic FormulaQuadratic Quadratic FormulaQuadratic FormulaQuadratic Quadratic FormulaQuadratic FormulaQuadratic Quadratic FormulaQuadratic FormulaQuadratic Quadratic FormulaQuadratic Formula Quadratic Formula

5 A Quick Review Use a table of values to graph y = x 2 + 2x – 1. State the domain and range. What are the coordinates of the vertex of the graph of y = x 2 – 5x? Is the vertex a maximum or minimum? What is the equation of the axis of symmetry for y = –x 2 + 2? What is the maximum height of a rocket fired straight up if the height in feet is described by h = –16t 2 + 64t + 1, where t is time in seconds?

6 Notes and examples Solve x 2 – 2x = 35 by using the Quadratic Formula. Solve x 2 + x – 30 = 0. Round to the nearest tenth if necessary.

7 Notes and examples Solve 2x 2 – 2x – 5 = 0 by using the Quadratic Formula. Round to the nearest tenth if necessary. Solve 5x 2 – 8x = 4 by using the Quadratic Formula. Round to the nearest tenth if necessary.

8 Notes and examples Solve 5x 2 + 3x – 8 = 0. Round to the nearest tenth if necessary. Solve 3x 2 – 6x + 2= 0. Round to the nearest tenth if necessary.

9 Notes and examples Graph the related function. f(x) = 3x 2 – 5x – 12 Locate the x-intercepts of the graph Solve Quadratic Equations Using Different Methods Factoring: Using quadratic formula:

10 Notes and examples Solve 6x 2 + x = 2 by any method

11 Notes and examples

12

13 State the value of the discriminant for 3x 2 + 10x = 12. Then determine the number of real solutions of the equation. State the value of the discriminant for the equation x 2 + 2x + 2 = 0. Then determine the number of real solutions of the equation.

14 Notes and examples

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