Warmup 9-28 1. Graph the following quadratic equation using the table provided. Then analyze the graph for the information listed below. y = -3x2 + 12x.

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Standard MM2A3. Students will analyze quadratic functions in the forms f(x) = ax2 + bx + c and f(x) = a(x – h)2 + k. c. Investigate and explain characteristics.
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Warmup 9-28 1. Graph the following quadratic equation using the table provided. Then analyze the graph for the information listed below. y = -3x2 + 12x - 8 Vertex: __________ Extrema: _______ A. O. S. : __________ Interval of Increase: ________ Domain: ___________ Interval of Decrease: ________ Range: ____________ Rate of Change 0<x<3 : _________ For the following questions, use the equation, h(t) = -6t2 + 36t + 76. 2. Find the height of the object at 5 seconds, or h(5). 3. What is the initial height of the object? 4. At what time did the object reach its maximum height? 5. What was the maximum height of the object? X Y

Quadratic Application Review For the following questions, use the graph from the equation, h(t) = -6t2 + 60t. What is the height of the object at 4 seconds or h(4)? What is the initial height of the object? At what time did the object reach its maximum height? What was the maximum height of the object? When did the object land on the ground? How long was the object in the air? For the following questions, use the graph from the equation, h(t) = -8t2 + 64t + 32. 7. What is the height of the object at 6 seconds or h(6)? 8. What is the initial height of the object? 9. At what time did the object reach its maximum height? 10. What was the maximum height of the object? 11. When did the object land on the ground?(Approximately) 12. How long was the object in the air? Approximately)

Quadratic Application Review For the following questions, use the equation, h(t) = -4t2 + 48t 13. What is the height of the object at 4 seconds or h(4)? 14. What is the initial height of the object? 15. At what time did the object reach its maximum height? 16. What was the maximum height of the object? For the following questions, use the equation, h(t) = -7t2 + 56t + 84 17. What is the height of the object at 6 seconds or h(6)? 18. What is the initial height of the object? 19. At what time did the object reach its maximum height? 20. What was the maximum height of the object?