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1. |
What is the equation of the directrix of the parabola with equation
y = (x + 4)2 - 2? |
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A. |
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B. |
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C. |
x = - 2 |
D. |
y = - 2 |
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Hint |
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2. |
Find an equation of a circle if the endpoints of a diameter are at (-2, -3) and (1, 7). |
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A. |
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B. |
(x - 1)2 + (y - 7)2 = 109 |
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C. |
(x + 2)2 + (y + 3)2 = 109 |
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D. |
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Hint |
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3. |
Find the coordinates of the center of an ellipse with equation
9x2 + 4y2 - 72x + 16y + 124 = 0. |
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A. |
(4, 9) |
B. |
(2, 3) |
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C. |
(4, 2) |
D. |
(4, -2) |
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Hint |
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4. |
Find the length of the major axis of an ellipse with equation
9x2 + y2 + 36x - 6y + 36 = 0. |
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A. |
6 |
B. |
9 |
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C. |
2 |
D. |
1 |
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Hint |
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5. |
Which point is the farthest from (2, –3)? |
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A. |
(-1, -4) |
B. |
(4, 0) |
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C. |
(1, -1) |
D. |
(-1, -2) |
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Hint |
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6. |
Which point is the closest to (-2, 1)? |
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A. |
(-2, 5) |
B. |
(-4, -1) |
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C. |
(-1, 4) |
D. |
(-5, 2) |
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Hint |
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7. |
What is the equation of a parabola that is translated 3 units left and 2 units up from the parabola  ? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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8. |
What is an equation for a circle with a center at (3, -1) that is tangent to the line x = 7? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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9. |
What is the equation of the hyperbola whose vertices are at (2, -9) and (2, 7), and whose foci are at (2, -11) and (2, 9)? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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10. |
If the length of the transverse axis is 10 units, and the length of the conjugate axis is 6 units, what are the coordinates of the vertices? |
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A. |
Cannot be determined from given information. |
B. |
(3, 5) and (3, -5) |
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C. |
(5, 0) and (-5, 0) |
D. |
(0, 5) and (0, -5) |
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Hint |
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11. |
The graph represents which of the following? |
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A. |
hyperbola |
B. |
ellipse |
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C. |
parabola |
D. |
circle |
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Hint |
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12. |
What is the major difference between hyperbolas and parabolas? |
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A. |
Hyperbolas are connected, while parabolas are not. |
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B. |
Parabolas are always a function of x, while hyperbolas are not a function of either. |
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C. |
Hyperbolas have the potential to be wider than parabolas. |
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D. |
In parabolas, one of the squared terms has a coefficient that is = 0. |
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Hint |
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13. |
Solve the system   |
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A. |
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B. |
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C. |
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D. |
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Hint |
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14. |
Solve the system   |
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A. |
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B. |
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C. |
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D. |
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Hint |
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