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Jeopardy Quadratic Functions

Test your knowledge on graphs and applications of quadratic functions in this Jeopardy-style quiz game. Solve equations and determine solutions to earn points!

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Jeopardy Quadratic Functions

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  1. Jeopardy Choose a category. You will be given a question. You must provide the correct answer. Click to begin.

  2. Choose a point value. Choose a point value. Click here for Final Jeopardy

  3. Graphs of Quadratic Functions Solve quadratic equations Applications of Quadratic Equations Determine number of solutions Choosing type: linear, quadratic, or exponential 10 Point 10 Point 10 Point 10 Point 10 Point 20 Points 20 Points 20 Points 20 Points 20 Points 30 Points 30 Points 30 Points 30 Points 30 Points 40 Points 40 Points 40 Points 40 Points 40 Points 50 Points 50 Points 50 Points 50 Points 50 Points

  4. Which way does the graph y = -6x2 + 2 open?

  5. down

  6. Where is the axis of symmetry for the graph of y = 2x2 + 4?

  7. X = 0

  8. Where is the axis of symmetry for the graph of y = 4x2 + 4x -2?

  9. X = - 1/2

  10. Find the axis of symmetry and vertex for the graph y = -3x2 + 3x - 1

  11. x = ½ (1/2, -1/4)

  12. Find the vertex and axis of symmetry for y = 4 + 8x – 2x2

  13. X = 2 (2, 12)

  14. Solve for x (x+2)(x-4) = 0

  15. x= -2 or 4

  16. Solve: x2 + 3x + 2 = 0

  17. x = -1 or -2

  18. Solve: 2x2 + 5x + 3 = 0

  19. X = -1 or -1.5

  20. Solve: 5x2 – 68x = 192

  21. X = 16 or -2.4

  22. Solve and round to the nearest hundredth 2x2 – 24x + 33 = 0

  23. X = 10.42 or 1.58

  24. Suppose you throw a ball upward and the equation h = -16t2 +30t + 6 models the path the ball takes where h is the height of the ball and t is time in seconds. After how many seconds will the ball hit the ground?

  25. About 2.1 seconds

  26. Suppose a rectangle has an area of 60 ft2 and dimensions x and (x + 1). Find the dimensions of the rectangle to the nearest hundredth.

  27. 7.26 ft x 8.26 ft

  28. A rectangle has a length of x. Its width is 3 feet longer than twice the length. Find the dimensions if its area is 80 ft2. Round to the nearest tenth of a foot.

  29. 5.6 ft by 14.2 ft

  30. An apartment rental agency uses the formula I = 5400 + 300n – 50n2 to find its monthly income I based on renting n apartments. Will the agency’s monthly income ever reach $7000? Explain.

  31. No, the discriminant is negative (3002 – 4 (-50)(-1600) = -230,000)

  32. For the equation x2 + 2x + k = 0; find the value of k to the equation has one solution

  33. k = 1

  34. How many solutions does x2 – 6x + 9 = 0 have?

  35. One (discriminant = 0)

  36. How many x-intercepts does x2 – 2x – 3 = 0 have?

  37. 2 (discriminant = 16)

  38. The function P = 3i2 – 2i + 450 models the power P in an electric circuit with a current i. Can the power in this circuit ever be zero? If so, what is the value of i?

  39. No, the discriminant is -5396.

  40. How many zeros does the equation 2x2 – 3x + 4 = 0 have?

  41. None, the discriminant is -23.

  42. Does the graph of the function cross the x-axis? y = 4x2 + x - 5

  43. Yes, twice. The discriminant is 81.

  44. What type of equation do the points form?

  45. Linear

  46. What type of equation do the points form?

  47. Quadratic

  48. Find the type of equation and the equation the data forms

  49. exponential, y = 5 (.4)x

  50. Find the type of equation and the equation the data forms

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