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1. |
Find the distance between points at (3, 7) and (-3, -1). |
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A. |
14 units |
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units |
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C. |
10 units |
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units |
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Hint |
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2. |
Find the length of the latus rectum of the parabola with equation y = 3x2 + 2x - 6. |
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A. |
1 unit |
B. |
unit |
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C. |
unit |
D. |
unit |
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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. |
(x - 1)2 + (y - 7)2 = 109 |
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B. |
(x + 2)2 + (y + 3)2 = 109 |
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C. |
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Hint |
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4. |
Find the coordinates of the center of a circle with equation x2 + y2 - 2x + 8y + 13 = 0. |
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A. |
(-1, -4) |
B. |
(-1, 4) |
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C. |
(1, -4) |
D. |
(1, 4) |
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Hint |
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5. |
Graph the hyperbola with equation x2 - 4y2 - 4x + 24y - 36 = 0. |
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6. |
Find the coordinates of the foci of a hyperbola with equation  |
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7. |
Which point is the closest to (-2, 1)? |
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A. |
(-2, 5) |
B. |
(-5, 2) |
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C. |
(-4, -1) |
D. |
(-1, 4) |
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Hint |
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8. |
What is the equation of a parabola that is translated 3 units left and 2 units up from the parabola ? |
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9. |
Which graph represents the ellipse ? |
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10. |
Write an equation for the ellipse whose endpoints of its major axis are at (-3, 1) and (5, 1), and that of its minor axis are at (1, -1) and (1, 3). |
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11. |
What is the major difference between circles and ellipses? |
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A. |
Ellipses are functions of x, while circles are not. |
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B. |
Equations for ellipses can always be written in the form , while circles cannot. |
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C. |
Ellipses may be elongated on one axis, while circles have a constant radius. |
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D. |
In circles, one of the squared terms has a coefficient that is = 0. |
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Hint |
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12. |
Write the standard form equation of and identify the conic section. |
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A. |
hyperbola |
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B. |
ellipse |
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C. |
hyperbola |
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D. |
parabola |
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Hint |
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13. |
Solve the system . |
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B. |
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14. |
Solve the system  |
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