Math Quiz Questions and Answers

Challenge yourself with these math quiz questions covering topics like vertex and axis of symmetry, x and y intercepts, function graphs, and more. Test your understanding of parabolas and equations while learning key concepts along the way through detailed explanations and visual aids.

• Math
• Quiz
• Parabolas
• Equations
• Graphs

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1. $100 $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500

2. $100 Identify the vertex and axis of symmetry. Answer

3. $100 Answer ) 4 vertex , 1 ( : = axis of symmetry : 1 x C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

4. $200 Identify the x and y intercepts of the graph. Answer

5. $200 Answer x intercepts and 0) (1, : (-1, 0) y - intercept : (0, 3) C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

6. $300 Identify the vertex and state whether it is a minimum or maximum. Answer

7. $300 Answer vertex ( : 2, 3) minimum C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

8. $400 Which graph matches the equation . 2 = x y 2 1 A. C. D. B. Answer

9. $400 Answer A C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

10. $500 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. $500 Answer D. The a value for the equation of the graph is negative. C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

12. $100 Which function represents the parabola with the narrowest graph? Explain your reasoning. = = + 2 = + 2 3 y x 2 1 y x A. B. ( ) 2 2 = + 0.5 2 y x 3 2 y x C. D. Answer

13. $100 Answer D The ? is the greatest. The larger the value of ?, the more narrow the graph. C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

14. $200 Identify where the function is increasing and decreasing. 1 3 = + 2 2 3 y x x Answer

15. $200 Answer : 3 inc x : 3 dec x C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

16. $300 Identify the vertex. ( ) ( 3 f x = ) 2 + + 1 5 x Answer

17. $300 Answer ( 1,5) C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

18. $400 Identify the axis of symmetry. 2 = x y 2 5 12 x Answer

19. $400 Answer 5 = x 4 C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

20. $500 Identify the x-intercept(s). ( 3 = x y + 12 )( 17 ) x Answer

21. $500 Answer = = 17 12 x and x ( 17 ) 0 , 12 ( ) 0 , and C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

22. $100 The height h of a ball t seconds after it is hit is given by the equation = 162 + + 32 6 h t t How high will the ball be 2 seconds after it is thrown? Answer

23. $100 Answer In 2 seconds, the ball will be 6 feet high. C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

24. $200 The height h of a ball t seconds after it is hit is given by the equation 162 = t h + + 32 6 t What is the maximum height of the ball? Answer

25. $200 Answer In 1 seconds, the ball will be a maximum height of 22 feet. C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

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 A. The initial height of the ball B. The time the ball hits the ground C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

28. $400 A woodland jumping mouse hops along a parabolic path given by y= -0.2x2 + 1.3x, 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, 2.1125) which means the mouse cannot jump over a fence that is higher than 2.1125 feet. C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

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. C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

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 1 = ) 1 2 ( 6 y x 9 C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

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 5 = ) 8 ( 12 )( y x x 3 C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

36. $300 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. ? = ?(? )2+k 7 = ? 1 32 5 7 = ?(4) 5 2 = 4? 1 2= ? ? = 1 C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png 2? 32 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 C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

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 = + 2 ( ) 100 ; A x x x = 2 ) 2 ( A 196 ft C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

42. $100 Describe the transformation of f(x) = x2. ( ) g x ( ) 2 = + 2 1 x Answer

43. $100 Answer Translated 2 units left and one unit down. C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

44. $200 Describe the transformation of f(x) = x2. ( ) g x = 2 2 x Answer

45. $200 Answer Vertical stretch by a factor of 2, and reflected over the x-axis. C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

46. $300 Write a rule for g with the described transformations of the graph of f. ( ) f x x = 2; 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 = 2 ( ) 3 3 g x x C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

48. $400 Write a rule for g with the described transformations of the graph of f. ( ) 4 f x x = + 2 5; 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 = x 2 ( ) 7 g x C:\Documents and Settings\User\Local Settings\Temporary Internet Files\Content.IE5\EWROL8MN\MCj04315520000[1].png

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

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