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1. |
Write an equation for the graph shown below. |
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A. |
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B. |
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C. |
y = (x + 2)2 - 1 |
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Hint |
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2. |
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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A. |
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B. |
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D. |
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Hint |
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3. |
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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4. |
Find the coordinates of the center of an ellipse with equation 9x2 + 4y2 - 72x + 16y + 124 = 0. |
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A. |
(4, 2) |
B. |
(2, 3) |
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C. |
(4, 9) |
D. |
(4, -2) |
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Hint |
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5. |
If y varies directly as x and y = 6 when x = 2, find y when x = 5. |
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A. |
6 |
B. |
15 |
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C. |
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D. |
2.4 |
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Hint |
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6. |
Use the direct variation equation to find x when y = -34. |
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A. |
x = -153 |
B. |
x = - |
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C. |
x = 153 |
D. |
x =  |
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Hint |
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7. |
If y varies inversely as x and y = 4 when x = , what is y when x = 3? |
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A. |
6 |
B. |
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C. |
24 |
D. |
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Hint |
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8. |
What is the constant of variation if y varies inversely as x, and x = 4.3 when y = 2.15? |
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A. |
2 |
B. |
0.108 |
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C. |
9.245 |
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Hint |
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9. |
Solve by graphing. |
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A. |
{x| –1.12 < x < 0} |
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{x| 0 < x < 3} |
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C. |
{x| –1.12 < x < 3.12} |
D. |
{x| 0 < x < 3.12} |
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Hint |
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10. |
When is it true that x2 + x > –2? |
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A. |
all real numbers |
B. |
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D. |
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Hint |
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11. |
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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12. |
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. |
(-3, 1) |
B. |
(2, 1) |
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C. |
(2, -1) |
D. |
(0, 0) |
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Hint |
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13. |
What best describes the conic section shown? |
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A. |
parabola |
B. |
point of intersection |
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C. |
hyperbola |
D. |
circle |
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Hint |
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14. |
Which conic section is formed by a plane intersecting only the vertex? |
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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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