1. Characteristics of Quadratics Projectiles/ Applications
JEOPARDY
Graphs of Quadratics
Characteristics of Quadratics
Projectiles/ Applications
Quadratic Models
Transformations
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2. Identify the vertex and axis of symmetry.
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Identify the vertex and axis of symmetry.
Answer

3. $100
Answer

4. Identify the x and y intercepts of the graph.
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Identify the x and y intercepts of the graph.
Answer

5. $200
Answer

6. Identify the vertex and state whether it is a minimum or maximum.
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Identify the vertex and state whether it is a minimum or maximum.
Answer

7. $300
Answer

8. Which graph matches the equation .
$400
Which graph matches the equation A. C. B. D.
Answer

9. $400
Answer

10. Which of the following is true about the graph?
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Which of the following is true about the graph?
A. The y-intercepts are (0, 0) & (2, 0).
B. The range is y ≥ 1.
C. The axis of symmetry is y=1.
D. The a value for the equation of the graph is negative.
Answer

11. D. The a value for the equation of the graph is negative.
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Answer
D. The a value for the equation of the graph is negative.

12. $100
Which function represents the parabola with the narrowest graph? Explain your reasoning.
A B.
C D.
Answer

13. $100
Answer
D The 𝑎 is the greatest. The larger the value of 𝑎, the more narrow the graph.

14. Identify where the function is increasing and decreasing.
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Identify where the function is increasing and decreasing.
Answer

15. $200
Answer

16. $300
Identify the vertex.
Answer

17. $300
Answer
(−1, 5)

18. Identify the axis of symmetry.
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Identify the axis of symmetry.
Answer

19. $400
Answer

20. Identify the x-intercept(s).
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Identify the x-intercept(s).
Answer

21. $500
Answer

22. $100
The height h of a ball t seconds after it is hit is given by the equation How high will the ball be 2 seconds after it is thrown?
Answer

23. In 2 seconds, the ball will be 6 feet high.
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Answer
In 2 seconds, the ball will be 6 feet high.

24. $200
The height h of a ball t seconds after it is hit is given by the equation What is the maximum height of the ball?
Answer

25. In 1 seconds, the ball will be a maximum height of 22 feet.
$200
Answer
In 1 seconds, the ball will be a maximum height of 22 feet.

26. $300
The graph below shows the height h in feet of a soccer ball t seconds after it is drop-kicked into the air.
A. What does the h-intercept
represent in this situation? B. What does the t-intercept
represent in this situation?
Answer

27. $300
Answer
The initial height of the ball
The time the ball hits the ground

28. $400
A woodland jumping mouse hops along a parabolic path given by y= -0.2x x, where x is the mouse’s horizontal distance traveled (in feet) and y is the corresponding height (in feet). Can the mouse jump over the fence that is 3 feet high? Justify your answer.
Answer

29. $400
Answer
No, the vertex of the graph is (3.25, ) which means the mouse cannot jump over a fence that is higher than feet.

30. $500
A passenger on a stranded lifeboat shoots a distress flare into the air. The height (in feet) of the flare above the water is given by f(t) = -16t(t-8), where t is the time (in seconds) since the flare was shot. The passenger shoots a second flare, whose path is modeled in the graph. Which flare travels higher?
Answer

31. $500
Answer
First Flare; its vertex is higher than the second flare’s vertex which means it traveled higher.

32. $100
Write an equation of the parabola in vertex form that passes through the point (4, -7) and has a vertex of (1, -6).
Answer

33. $100
Answer

34. $200
Write an equation of the parabola in intercept form that has x intercepts of 12 and 8 and passes through the point (9, 5).
Answer

35. $200
Answer

36. Describe and correct the error in writing an equation of the parabola.
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Describe and correct the error in writing an equation of the parabola.
Answer

37. $300
Answer
The two given sets of coordinates were not substituted into the correct places.
𝑦=𝑎 (𝑥−ℎ) 2 +k
−7=𝑎 1−3 2 −5
−7=𝑎(4)−5
−2=4𝑎
− 1 2 =𝑎
𝑦=− 𝑥−3 2 −5

38. $400
A basketball is thrown up in the air toward the hoop. The table shows the heights y (in feet) of the basketball after x seconds. Find the height of the basketball after 5 seconds. Round your answer to the nearest hundredth.
Answer

39. $400
Answer
9.21 ft

40. $500
The graph shows the area y (in square feet) of rectangles that have a perimeter of 200 feet and a length of x feet. Write an equation for the parabola to predict the area of the rectangle when the length is 2 feet.
Answer

41. $500
Answer

42. Describe the transformation of f(x) = x2.
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Describe the transformation of f(x) = x2.
Answer

43. Translated 2 units left and one unit down.
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Answer
Translated 2 units left and one unit down.

44. Describe the transformation of f(x) = x2.
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Describe the transformation of f(x) = x2.
Answer

45. Vertical stretch by a factor of 2, and reflected over the x-axis.
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Answer
Vertical stretch by a factor of 2, and reflected over the x-axis.

46. $300
Write a rule for g with the described transformations of the graph of f.
vertical stretch by a factor of 3 and a reflection in the x-axis, followed by a translation 3 units down
Answer

47. $300
Answer

48. $400
Write a rule for g with the described transformations of the graph of f.
Horizontal stretch by a factor of 2 and a translation 2 units up followed by a reflection in the x-axis.
Answer

49. $400
Answer

50. $500
Let the graph of g be a translation 6 units right and 8 units up, followed by a reflection in the x-axis of the graph f(x) = x2 - 4x. Write a rule for g.
Answer

51. $500
Answer
𝑔 𝑥 =− 𝑥 2 +16𝑥−68