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Find the Vertex of the following polynomial by converting to vertex form y = -3x 2 + 12x + 17

Solve polynomial equations, find vertex and height of polynomials, convert equations to factored form, determine real zeros, and identify instruments used for weather measurements.

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Find the Vertex of the following polynomial by converting to vertex form y = -3x 2 + 12x + 17

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  1. Find the Vertex of the following polynomial by converting to vertex form y = -3x2 + 12x + 17

  2. (2, 29)

  3. Find the Vertex of the following polynomial y = 3.5x2 - 42x + 141

  4. (6, 15)

  5. A ball is thrown up and off the roof of a 75 m tall building with an initial velocity of 14.7 m/s. a. Let t represent the time in seconds and h represent the height of the ball in meters. Write an equation that models the height of the ball. b. At what time does the ball reach maximum height? What is the ball’s maximum height?

  6. a. y = -4.9x2 + 14.7x + 75 b. 1.5 second, 86.025 meters

  7. A ball is thrown up and off the roof of a 75 m tall building with an initial velocity of 14.7 m/s. a. At what time or times is the ball 30 m above the ground? b. At what time does the ball hit the ground?

  8. a. -1.88 and 4.88 seconds b. -2.69 and 5.68 seconds

  9. What is the gestation period of an Hippopotamus? A: 4 months B: 8 months C: 12 months D: 16 months

  10. B 8 months

  11. Solve using any method 25x2 - 49 = 0

  12. 1.4 and -1.4

  13. Write a polynomial in general form that has x-intercepts of 8 and -3 and a y-intercept of -12

  14. y = 0.5x2 - 2.5x - 12

  15. Write an equation for this polynomial in factored form (0, -192)

  16. y = 3(x-4)2(x+2)(x-2)

  17. -7/13+22/13*i

  18. 6 - 5i 3 + 6i

  19. -4/15-17/15*i

  20. Name 5 real 4 letter words made up of the letters in the word ARROWHEAD.

  21. Road Head Dear Read Word Wade

  22. Find the exact solutions of the equation 3x2 + 2x + 4 = 0

  23. x=-1/3 ± i√11/3

  24. Factor the following polynomial completely x4 - 324

  25. (x+3√2)(x-3√2)(x+3i√2)(x-3i√2)

  26. Factor 12x2 - 7x - 10

  27. 2(3x - 7)(3x + 2)

  28. Factor 18x2 - 30x - 28

  29. (3x+2)(4x-5)

  30. Factor 24x5 + 81x2

  31. 3x2(2x + 3)(4x2 - 6x + 9)

  32. On what vegetable did an ancient Egyptian place his right hand when taking an oath?

  33. Onion

  34. Factor x3 + 2x2 - 16x - 32

  35. (x+4)(x-4)(x+2)

  36. Find a polynomial in factored form for this graph.

  37. 0.5(x+4)(x-2)

  38. Draw a graph of a function with the following criteria: A cubic function with two real zeros, whose graph has a negative y-intercept

  39. What is the record snowfall in Milwaukee, WI for one winter? (Within 6 inches)

  40. 109.8” 9’ 10”

  41. Write a polynomial function with the given criteria. A fourth-degree polynomial function with two double roots, 0 and 2, and whose graph contains the point (1, -1)

  42. y=-x2(x-2)2

  43. 16x4 + 8x3 + 4x2 + 2x + 1

  44. x3 + 4x2 + 3x + 12

  45. What instrument is used to measure wind speed? A: Anemometer B: Barometer C: Altimeter D: Fanometer

  46. A

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