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- 1. Multiple Choice
What is the equation of this graph?f(x) = (x -5)2 + 1f(x) = (x - 1)2 - 5f(x) = (x + 1)2 - 5f(x) = (x + 5)2 +1 - 2. Multiple ChoiceUse the graph to determine the solutions.
*Hint: Solutions = roots = zeros = x-intercepts-1 and -31 and -31 and 3-1 and 3 - 3. Multiple ChoiceWhat is the equation for axis of symmetry?y=3x=3x=5x=1
- 4. Multiple ChoiceWhat is the vertex?(2, 4)(3, -1)(0, 8)(4, 2)
- 5. Multiple ChoiceFind the x-intercepts of the equation f(x)=x2+2x-24(4,0) (-6,0)(0,-24)(6,0) (-4,0)(5,0) (0,0)
- 6. Multiple ChoiceSolve x2 - 5x + 10 = 0(5 - i√15)/2 , (5 + i√15)/2(5 - √15)/2 , (5 + √15)/2(5 - i√65)/2 , (5 + i√65)/2(5 - √65)/2 , (5 + √65)/2
- 7. Multiple ChoiceEvaluate (9 + 3i) (9 - 3i).81 -9i9081 + 27i -9i281i - 9
- 8. Multiple Choice(10+3i) - (2-9i)20-27i12-7i8+12i20-27i2
- 9. Multiple ChoiceThe height of an object thrown into the air can be modeled by the formula h(t) = -16t2 + 70t + 95, where h(t) is in feet after t seconds.
What is the height of the object after 5 seconds?95 feet45 feet70 feet171.56 feet - 10. Multiple Choice
Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of (f(g(4))
182
40
61
None of the Above
- 11. Multiple ChoiceGiven
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f + g)(x).11x2 - 15x4 + 6x2 - 15x2 + 6x - 15x2 + 8x - 1 - 12. Multiple Choicep(x) = 3x + 4
q(x) = 2x2
Find q(p(-2))8-828None of these. - 13. Multiple ChoiceWhen f(x) = 2x and g(x) = x2+3 , find f(g(x)).x2+2x+34x2+32x2+32x2+6
- 14. Multiple ChoiceWhat is the axis of symmetry of the given function?y = 1y = -1x = 1x = -1
- 15. Multiple ChoiceWhat is the vertex of the parabola: y=2(x-3)2+4(3,4)(-3,4)(3, -4)(-3,-4)
- 16. Multiple ChoiceWhat is the value of f(0)?-2240
- 17. Multiple ChoiceEvaluate f(33)3311108
- 18. Multiple Choiceh(k) = 7x + 4
What is k, if h(k) = 39485-1 - 19. Multiple ChoiceFind the missing terms of the arithmetic sequence:
145, ___, ___, ___, 205160, 175, 190165, 185, 195155, 165, 175190, 175, 160 - 20. Multiple ChoiceAfter knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 2 minutes per day. How many weeks will it be before you are up to jogging 1 hour per day?5 weeks26 weeks24 weeks25 weeks
- 21. Multiple Choice1234
- 22. Multiple Choice1234
- 23. Multiple ChoiceFactor
3v2 - 4v - 7(3v-7)(v+1)3(v-7)(v-1)(3v+1)(v-9)(3v+1)(v-10) - 24. Multiple Choice
A series begins: 4, 7, 10 ... What is the 23rd value?
33
69
73
70
- 25. Multiple ChoiceFind the 25th term of the arithmetic sequence if a1 = 5 and d = 0.518171514
- 26. Multiple ChoiceWhat do we call the sum of a sequence of numbers?geometric sequencerecursive formulaseriesarithmetic sequence
- 27. Multiple ChoiceIf the discriminant equals 0, then the quadratic has:1 Real Solution2 Real SolutionsHalf a SolutionNo Real Solution
- 28. Multiple ChoiceIf the discriminant is negative, then the quadratic has:1 Real Solution2 Real SolutionsHalf a SolutionNo Real Solutions
- 29. Multiple ChoiceIf the discriminant is positive, then the quadratic has:1 Real Solution2 Real SolutionsHalf a SolutionNo Real Solution
- 30. Multiple ChoiceIf the graph of a quadratic does not intercept the x axis at any point, then it has:1 Real Solution2 Real SolutionsHalf a SolutionNo Real Solution
- 31. Multiple ChoiceConvert x2+6x+9 to factored form and identify the solution.(x+3)(x+3); x=-3(x+4)(x+5); x=-4, -5(x-3)(x-3); x=3Not factorable
- 32. Multiple ChoiceDetermine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3a = 4, b = -8, c = 3a = 4, b =-8, c =-3a = 4, b = 8, c = 3a = 4, b = 8, c = -3 - 33. Multiple ChoiceABCD
- 34. Multiple ChoiceWhat is the axis of symmetry for the following equation?
y=4x2-8x+9x=-8x=1x=-1x=2 - 35. Multiple ChoiceFind the vertex of
f(x) = -x2 - 4x + 12(-2, 16)(2, 0)(2, 4)(-2, 4) - 36. Multiple Choice
Find the y-intercept of
f(x) = 2x2-2x + 1
(0, 2)
(0, -2)
(0, 1)
(0, -1)
- 37. Multiple ChoiceWhich quadratic function is represented by the graph?y = 2(x - 4)2 + 5y = 2(x + 4)2 + 5y = -2(x - 4)2 + 5y = -2(x + 4)2 + 5
- 38. Multiple Choice#9) A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function h(t) = -16t2 + 256. How many seconds did it take the raft to hit the water?-4248
- 39. Multiple ChoiceYou are trying to dunk a basketball. You need to jump 2.5 feet in the air to dunk the ball. The height that your feet are above the ground is given by the function:
h(t) = -16t2 + 12t
Will you be able to dunk the basketball?YesNoAs long as I'm wearing Air Jordans - 40. Multiple ChoiceAlain throws a stone off a bridge into a river below. The stone's height (in meters above the water), x seconds after Alain threw it, is modeled by:
h(x)= -5x2 + 10x + 15
How long does it take the stone to reach its highest point?1 seconds1.5 seconds2 seconds3 seconds - 41. Multiple ChoiceABCD
- 42. Multiple ChoiceWhat is the conjugate of -4i - 6?-4i + 64i + 6-6 + 4i-6 - 4i
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