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1. |
Find the vertex of the graph of f(x) = x2 + 4x - 5. |
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A. |
(-2, -9) |
B. |
(2, 7) |
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C. |
(-2, 9) |
D. |
(0, -5) |
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Hint |
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2. |
Solve the equation w2 - 4w = 12 by graphing. |
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A. |
6 |
B. |
1, 4 |
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C. |
0, -3 |
D. |
-2, 6 |
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Hint |
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3. |
Solve x2 + 3x - 10 = 0 by completing the square. |
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A. |
2 |
B. |
-5, 2 |
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C. |
5 |
D. |
2, 5 |
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Hint |
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4. |
Find a quadratic equation that has roots 6 + 2i and 6 - 2i. |
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A. |
x2 +12x - 40 = 0 |
B. |
x2 - 12x + 40 = 0 |
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C. |
x2 + 12x + 40 = 0 |
D. |
x2 - 12x - 40 = 0 |
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Hint |
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5. |
What is the y-intercept of the function y = 2x2 + 1 |
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A. |
0 |
B. |
3 |
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C. |
none |
D. |
1 |
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Hint |
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6. |
Solve 0 = x2 + 4x + 5 by graphing. |
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A. |
1, –5 |
B. |
2 |
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C. |
no real roots |
D. |
–1, 5 |
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Hint |
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7. |
What is the negative solution of the equation ? |
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A. |
–5 |
B. |
–3 |
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C. |
3 |
D. |
 |
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Hint |
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8. |
What must be done to the quadratic expression ax2 + bx in order to complete the square? |
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A. |
find one half of b, square this result, and add to original |
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B. |
find one fourth of b and add to original |
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C. |
square b, then find one half of the result, and add to original. |
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D. |
square b and add to original |
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Hint |
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9. |
Solve x2 + 14x + 49 = 0 by using the quadratic formula. |
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A. |
3, 8 |
B. |
7, –18 |
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C. |
6, 16 |
D. |
–3, –8 |
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Hint |
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10. |
If a perfect square is equal to a constant, what is the best method to solve the quadratic equation? |
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A. |
Factoring |
B. |
Completing the Square |
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C. |
Quadratic Formula |
D. |
Square Root Property |
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Hint |
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11. |
Find the vertex of the graph of the function . |
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A. |
(1, 4) |
B. |
(–1, –2) |
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C. |
(1, –2) |
D. |
(–1, 4) |
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Hint |
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12. |
What is the equation of the parabola whose vertex is at (-3, 1) and passes through the point (-2, 4)? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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13. |
When is it true that ? |
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A. |
all real numbers |
B. |
-1 |
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C. |
 |
D. |
 |
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Hint |
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14. |
Solve by graphing. |
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A. |
{x| –1.19 < x < 4.19} |
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B. |
{x| –1.19 < x < 0} |
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C. |
{x| 4.19< x < –1.19} |
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D. |
{x| 0 < x < 4.19} |
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Hint |
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