Identify the vertices, length of the transverse axis, and length of the conjugate axis of each. Then sketch the graph.
1. {(x+2)2 / 9} - {(y - 1)2 / 4} = 1
2. (y + 4)2 - (x2 / 25) = 1
3. {(y - 2)2 / 9} - {(x - 3)2 / 4} = 1
4. {(x + 1)2 / 16} - (y + 2)2 = 1
5. {(y + 2)2 / 9} - {(x - 1)2 / 4} = 1
6. (x2 / 25) - {(y + 1)2 / 16} = 1
Identify the vertices, foci, asymptotes, length of the transverse axis, length of the conjugate axis, and eccentricity of each. Then sketch the graph.
1. (y2 / 9) - {(x + 1)2 / 16} = 1
2. (x2 / 16) - {(y + 2)2 / 9} = 1
3. {(y + 2)2 / 4} - (x2 / 9) = 1
4. {(y - 2)2 / 4} - {(x + 1)2 / 16} = 1
5. {(y + 2)2 / 9} - {(x - 2)2 / 9} = 1
6. (y2 / 9) - {(x + 1)2 / 4} = 1
Use the information provided to write the standard form equation of each hyperbola.
1. 4x2 - 7y2 + 72 14y + 177 = 0
2. -x2 + 4y2 + 2x +16y - 129 = 0
3. -9x2 + 4y2 - 90x - 32y - 305 = 0
4. x2 - 16y2 + 4x + 32y - 156 = 0
5. -17x2 + 7y2 - 102x - 112 - 300 = 0
6. x2 - 4y2 + 20x = 0
Identify the vertices, foci, asymptotes, and eccentricity of each. Then sketch the graph.
7. x2 - 25y2 + 200y - 425 = 0
8. -4x2 + y2 +16x - 32 = 0
Identify the vertices, foci, asymptotes, length of the transverse axis, length of the conjugate axis, and eccentricity of each. Then sketch the graph.
1. -25x2 + 4y2 + 100x - 200 = 0
2. 4x2 - y2 - 16x + 2y - 1 = 0
3. 16x2 - y2 + 64x - 2y
4. -16x2 + y2 + 128x - 272 = 0
Use the information provided to write the standard form equation of each circle.
1. Center: (9, -1)
Radius: 6 .
2. Ends of a diameter: (10, -15) and (10, -3)
Identify the center and radius of each. Then sketch the graph.
3. (x+ 2) 2 +(y -3) 2 = 4
4. x2 + y2 -4x + 4y - 8 = 0
Identify the center, vertices, co-vertices, foci, length of the major axis, length of the minor axis, and eccentricity of each. Then sketch the graph.
5. {(x - 3)2 / 4} + (y2 / 49) = 1
6. {(x - 3)2 / 16} + {(y - 5) 2 / 4} = 1
Graph each equation.
7. 48x2 + 4y2 - 294x + 245 = 0
8. 4x2 +9y2 - 32x - 18y + 37 = 0
Identify the vertices, foci, asymptotes, length of the transverse axis, length of the conjugate axis, and eccentricity of each. Then sketch the graph.
9. {(y + 2) 2 / 9} - {(x - 1) 2 / 16} = 1
10. {(x - 1) 2 / 9} (y2 / 25) = 1
Graph each equation.
11. -x2 + 4y2 - 8y - 12 = 0
12. x2 - 16y2 +96y -160 = 0
Identify the following conics as a circle, ellipse or hyperbola.
13. x2 + y2 -4x + 8y + 19 = 0
14. -4x2 + y2 - 8x - 2y -19 = 0
15. 49x2 + y2 + 294x + 392 = 0
16. {(x + 1) 2 / 9} - {(y +3) 2 / 4} = 1
17. (x - 1)2 + (y - 2) 2 = 16
18. x2 + {(y - 1) 2 / 36} = 1