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1. |
If M(5, -4) is the midpoint of  and C has coordinates (9, -2), find the coordinates of D. |
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A. |
(-3, 7) |
B. |
(7, -3) |
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C. |
(-6, 1) |
D. |
(1, -6) |
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Hint |
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2. |
Write the equation of a circle that passes through the origin and has its center at (–3, –2). |
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A. |
(x + 3)2 + (y + 2)2 = 5 |
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B. |
(x + 3)2 + (y + 2)2 = 13 |
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C. |
(x – 3)2 + (y + 2)2 = 10 |
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D. |
(x – 3)2 + (y – 2)2 = 13 |
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Hint |
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3. |
Write the equation of the circle whose diameter has endpoints at (3, –1) and (–9, 5). |
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A. |
(x – 3)2 + (y + 2)2 = 13 |
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B. |
(x – 3)2 + (y + 2)2 = 45 |
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C. |
(x + 3)2 + (y – 2)2 = 45 |
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D. |
(x + 3)2 + (y – 2)2 = 13 |
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Hint |
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4. |
Find the angle  of rotation for the graph of the equation
x2 - xy - y2 - 2x - 2y + 6 = 0. Round to the nearest degree. |
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A. |
52° |
B. |
30° |
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C. |
-27° |
D. |
-13° |
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Hint |
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5. |
Graph the system of inequalities  and  . |
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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. |
Find the distance between points (2, 4) and (-4, -1). |
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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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7. |
The equation of an ellipse is find the center and the foci. |
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A. |
(-2, 1);  |
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B. |
(4, 1); (1, -1) and (2, -1) |
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C. |
(1, 4); (-1, 1) and (-1, 2) |
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D. |
(-2, -1); |
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Hint |
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8. |
Write an equation of an ellipse with foci at (2, 0) and (-2, 0) and a = 4. |
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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. |
Find the coordinates of the center of the hyperbola with an equation of  |
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A. |
(2 -6) |
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B. |
(-2, 6) |
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C. |
(6, -2) |
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D. |
(-6, 2) |
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Hint |
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10. |
Find the equation of the asymptotes of a hyperbola with graph of  |
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A. |
y - 6 =  (x + 4) |
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B. |
y - 6 =  (x + 4) |
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C. |
y - 6 =  (x + 4) |
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D. |
y - 6 =  (x + 4) |
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Hint |
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11. |
Find the vertex of the parabola with equation of x2 = 3y + 12. |
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A. |
(4, 0) |
B. |
(0, -4) |
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C. |
(12, 0) |
D. |
(0, -12) |
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Hint |
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12. |
Write the equation of a parabola in standard form if the general form of the equation is 6x2 + 12x - y + 8 = 0 |
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A. |
(x - 1) 2 =  (y + 2) |
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B. |
(x - 1) 2 = 6(y - 2) |
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C. |
(x + 1) 2 = (y - 2) |
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D. |
(x + 1) 2 = 6(y - 2) |
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Hint |
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13. |
Identify the conic section with equation
4(x + 4) 2 - 3(y + 3) 2 = 12. |
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A. |
parabola |
B. |
hyperbola |
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C. |
circle |
D. |
ellipse |
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Hint |
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14. |
Find the rectangular equation of the curve whose parametric equations are y = 2t2 + 4 and x = 4t, where  and identify the conic section. |
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A. |
8y = x2 - 32; ellipse |
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B. |
8y = x2 - 4; parabola |
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C. |
 parabola |
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D. |
ellipse |
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Hint |
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15. |
Write an equation in general form of  for T(2,-3). |
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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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16. |
Solve the system of equations algebraically, 4x + 4y = 4 and
x2 = y+ 5. |
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A. |
no solution |
B. |
(-3, 4), (2, -1) |
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C. |
(3, -4), (-2, 1) |
D. |
(-3, -1), (2, 4) |
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Hint |
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