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- 1. Multiple Choice
Identify the y-intercept and the axis of symmetry for the graph of
f(x) = –3x2+ 6x + 12.
2; x = –12
12; x = 1
–2; x = 0
–12; x = –1
- 2. Multiple Choice
f(x) = x2– 4x
f(x) = –x2+ 4x
f(x) = –x2 – 4x
f(x) = –(x+4)2
- 3. Multiple ChoiceDetermine whether f(x) = –5x^2 – 10x + 6 has a maximum or a minimum value and find that value.minimum; –1maximum; 11maximum; –1minimum; 11
- 4. Multiple ChoiceSolve x^2 = 4x by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.–4, 0between –4 and 42, –40, 4
- 5. Multiple ChoiceSolve x^2 – 3x = 28 by factoring.{–4, 7}{–14, 2}{–7, 4}{–2, 14}
- 6. Multiple ChoiceWhich quadratic equation has roots 7 and – 2/3 ?2x^2 – 11x – 21 = 03x^2 + 23x + 14 = 03x^2 – 19x – 14 = 02x^2 + 11x – 21 = 0
- 7. Multiple ChoiceSimplify (15 – 13i) – (–1 + 17i).16 – 30i16 + 4i16 + 30i46
- 8. Multiple ChoiceSimplify (1 + 2i )/(2 - 3i )8/7 + 1/7 i8/7 + i–4 + 7i– 4/13 + 7/13 i
- 9. Multiple Choice
Find the value of c that makes x^2 + 5x + c a perfect square trinomial.
25/16
5/4
25/4
-25/4
- 10. Multiple ChoiceThe quadratic equation x^2 – 18x = –106 is to be solved by completing the square. Which equation would be a step in that solution?〖(x - 9)〗^2 = 25x^2 – 18x + 106 = 0x – 9 = ±5ix^2 – 18x + 81 = –106
- 11. Multiple ChoiceFind the exact solutions to 2x^2 = 5x – 1 by using the Quadratic Formula.(-5 ± √17)/4(5 ± √17)/4(5 ± √33)/4(5 ± √17)/2
- 12. Multiple ChoiceUse the value of the discriminant to determine the number and type of roots for each equation. 3x^2 – x – 12 = 02 complex roots1 real, rational root2 real, rational roots2 real, irrational roots
- 13. Multiple ChoiceUse the value of the discriminant to determine the number and type of roots for each equation. x^2 + 10 = 3x – 32 complex roots1 real, rational root2 real, irrational roots2 real, rational roots
- 14. Multiple Choice
Which quadratic function has its vertex at (–3, 5) and opens down?
y = 〖(x-3)〗^2 + 5
y = –〖(x + 3)〗^2 + 5
y = 〖(x + 3)〗^2 – 5
y = –〖(x-3)〗^2 + 5
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