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1. |
Determine the distance between points at
and  |
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A. |
units |
B. |
units |
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C. |
9 units |
D. |
units |
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Hint |
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2. |
Find the value of a so that the distance between points with coordinates (2, 5) and (-6, a) is 10 units. |
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A. |
1 only |
B. |
11 only |
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C. |
1 or 11 |
D. |
or 11 |
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Hint |
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3. |
Find the vertex of the graph of f(x) = x2 + 4x - 5. |
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A. |
(2, 7) |
B. |
(0, -5) |
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C. |
(-2, 9) |
D. |
(-2, -9) |
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Hint |
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4. |
Solve the equation w2 - 4w = 12 by graphing. |
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A. |
6 |
B. |
-2, 6 |
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C. |
1, 4 |
D. |
0, -3 |
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Hint |
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5. |
Solve x2 - 4x - 5 = 0 by factoring. |
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A. |
-1, -5 |
B. |
1, -5 |
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C. |
-1, 5 |
D. |
1, 5 |
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Hint |
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6. |
Solve x2 - 6x + 10 = 0 by completing the square. |
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A. |
3 ± i |
B. |
2, 4 |
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C. |
1 ± i |
D. |
-3 ± i |
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Hint |
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7. |
Suppose a ball is thrown straight up at a speed of 50 feet per second. The time in seconds that it takes for the ball to hit the ground can be found by solving the equation 5 + 50t - 16t2 = 0. Approximately how long does it take for the ball to hit the ground? |
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A. |
0.1 s |
B. |
4.8 s |
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C. |
-0.1 s |
D. |
3.2 s |
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Hint |
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8. |
Find the coordinates of the vertex of the graph of the equation y = x2 - 5x + 7. |
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A. |
(5, 7) |
B. |
 |
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C. |
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D. |
(0, 7) |
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Hint |
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9. |
Suppose the equation of the axis of symmetry is x = 2. What is the y-coordinate of the vertex? |
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A. |
4 |
B. |
2 |
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C. |
cannot be determined from given information |
D. |
-2 |
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Hint |
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10. |
The property of a parabola that allows it to be folded in half so that each half matches the other exactly is called what? |
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A. |
symmetry |
B. |
minimum |
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C. |
maximum |
D. |
vertex |
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Hint |
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11. |
A quadratic function has two real roots. How many times does the graph cross the x-axis? |
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A. |
cannot be determined from given information. |
B. |
1 |
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C. |
0 |
D. |
2 |
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Hint |
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12. |
Solve x2 + 8x + 16 = 36 by using the Square Root Property. |
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A. |
2 |
B. |
-4 |
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C. |
-2 and –14 |
D. |
2 and –10 |
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Hint |
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13. |
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. |
–3, –8 |
D. |
6, 16 |
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Hint |
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14. |
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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