Identify the vertices foci and asymptotes of given functions

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Reference no: EM131050330

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

Reference no: EM131050330

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