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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. |
y = - 2 |
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C. |
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D. |
x = - 2 |
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Hint |
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2. |
The parabola with equation x = -2y2 + 3y - 5 opens _____. |
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A. |
left |
B. |
upward |
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C. |
downward |
D. |
right |
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Hint |
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3. |
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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4. |
Find the coordinates of the foci of an ellipse with equation  |
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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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5. |
Find the coordinates of the vertices of a hyperbola with equation
y2 - 4x2 - 6y - 16x - 11 = 0. |
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A. |
(-2, 7), (-2, -1) |
B. |
(-2, 1), (-2, 5) |
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C. |
(-6, 3), (2, 3) |
D. |
(-4, 3), (2, 3) |
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Hint |
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6. |
The graph of the equation 4y2 - 2x - 4y -7 = 0 is a(n) _____. |
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A. |
ellipse |
B. |
hyperbola |
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C. |
parabola |
D. |
line |
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Hint |
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7. |
Solve the system of equations.
y = 2x + 3
y2 - x2 = 24 |
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A. |
(5, 7) |
B. |
(0, 3) |
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C. |
(-5, -7), (1, 5) |
D. |
(-5, -7), (1, -5) |
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Hint |
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8. |
Which point is the farthest from (2, –3)? |
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A. |
(4, 0) |
B. |
(1, -1) |
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C. |
(-1, -2) |
D. |
(-1, -4) |
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Hint |
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9. |
Which point is closest to the midpoint of (2, 3) and (6, -1)? |
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A. |
(6, -1) |
B. |
(2, 3) |
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C. |
(3, -1) |
D. |
(5, 4) |
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Hint |
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10. |
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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11. |
Write an equation for the ellipse shown. |
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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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12. |
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. |
(0, 5) and (0, -5) |
B. |
(3, 5) and (3, -5) |
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C. |
(5, 0) and (-5, 0) |
D. |
Cannot be determined from given information. |
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Hint |
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13. |
The graph represents which of the following? |
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A. |
hyperbola |
B. |
circle |
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C. |
parabola |
D. |
ellipse |
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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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