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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. |
x = - 2 |
B. |
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C. |
y = - 2 |
D. |
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Hint |
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2. |
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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3. |
Find the length of the minor axis of an ellipse with equation
5x2 + 3y2 + 10x - 18y + 17 = 0. |
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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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4. |
Which is the graph of 4x2 + 9y2 + 16x -18y -11 = 0? |
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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. |
Write an equation for the hyperbola below. |
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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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6. |
Which point is the farthest from (2, –3)? |
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A. |
(-1, -2) |
B. |
(4, 0) |
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C. |
(1, -1) |
D. |
(-1, -4) |
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Hint |
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7. |
Which point is the closest to (-2, 1)? |
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A. |
(-1, 4) |
B. |
(-4, -1) |
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C. |
(-5, 2) |
D. |
(-2, 5) |
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Hint |
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8. |
Which of the following parabolas opens right? |
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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. |
Which of the following could be the center of a circle that is tangent to the lines y = 3 and x = –2? |
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A. |
(2, -1) |
B. |
(-3, 1) |
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C. |
(0, 0) |
D. |
(2, 1) |
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Hint |
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10. |
What is the equation of the hyperbola whose vertices are at (-4, 1) and (2, 1), and whose conjugate axis is of length 4 units? |
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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. |
What is the major difference between circles and ellipses? |
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A. |
In circles, one of the squared terms has a coefficient that is = 0. |
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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. |
Ellipses are functions of x, while circles are not. |
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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. |
 ellipse |
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B. |
 hyperbola |
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C. |
 parabola |
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D. |
 hyperbola |
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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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