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1. |
The focus of a parabola has coordinates (2, 3). The equation of the directrix is x = 0. Find an equation of the parabola. |
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Hint |
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2. |
Find an equation of the circle whose center is at (-2, 4) and has radius 5. |
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A. |
(x + 2)2 + (y - 4)2 = 25 |
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B. |
(x - 2)2 + (y + 4)2 = 5 |
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C. |
(x + 2)2 + (y - 4)2 = 5 |
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D. |
(x - 2)2 + (y + 4)2 = 25 |
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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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B. |
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4. |
Find the standard form of the equation 2x2 + 2y2 = 8x -16y - 32. |
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A. |
(x - 2)2 + (y + 4)2 = 4 |
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B. |
x2 + y2 - 4x + 8y + 16y + 16 = 0 |
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C. |
2x2 + 2y2 - 8x + 16y + 32 = 0 |
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D. |
2(x - 2)2 +2(y + 4)2 = 4 |
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Hint |
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5. |
Find the coordinates of the foci of a hyperbola with equation  |
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6. |
Which point is the farthest from (2, –3)? |
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A. |
(-1, -4) |
B. |
(-1, -2) |
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C. |
(1, -1) |
D. |
(4, 0) |
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Hint |
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7. |
Which point is closest to the midpoint of (2, 3) and (6, -1)? |
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A. |
(6, -1) |
B. |
(3, -1) |
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C. |
(5, 4) |
D. |
(2, 3) |
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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. |
What is an equation for a circle if the endpoints of a diameter are at (3, 4) and (-3, -2)? |
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10. |
Write an equation for the ellipse shown. |
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11. |
What are the vertices and foci of a hyperbola with equation  ? |
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A. |
7; 65 |
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12. |
What is the major difference between hyperbolas and parabolas? |
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A. |
In parabolas, one of the squared terms has a coefficient that is = 0. |
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B. |
Hyperbolas are connected, while parabolas are not. |
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C. |
Hyperbolas have the potential to be wider than parabolas. |
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D. |
Parabolas are always a function of x, while hyperbolas are not a function of either. |
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Hint |
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13. |
Solve the system   . |
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14. |
Gail and Gayla throw balls into the air. The equation  represents Gail's throw, where x is time in seconds, and y is height. Gayla's throw is represented by  When are the balls at the same height? |
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A. |
at 7 seconds |
B. |
never |
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C. |
at –1 seconds |
D. |
at 5 seconds |
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Hint |
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