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Activity 2. Write the standard form of the equation of a hyperbola with the given conditions and include an illustration (graph). You can write your solution in separate sheet. 1. Vertices :(3, -5) and (3,1) 4. Vertices :(0,2) and (0, -2) Asymptotes: y= 2x-8 and y=-2x+4 Foci :(0,8) and (0, -8)

Activity 2. Write the standard form of the equation of a hyperbola with the given conditions and include an illustration (graph). You can write your solution in separate sheet. 1. Vertices :(3, -5) and (3,1) 4. Vertices :(0,2) and (0, -2) Asymptotes: y= 2x-8 and y=-2x+4 Foci :(0,8) and (0, -8)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Activity 2. Write the standard form of the equation of a hyperbola with the given conditions and include an illustration (graph). You can write your solution in separate sheet. 1. Vertices :(3, -5) and (3,1) 4. Vertices :(0,2) and (0, -2) Asymptotes: y= 2x-8 and y=-2x+4 Foci :(0,8) and (0, -8) 2. The foci of a hyperbola are (-5, -3) and (9, -3). For any point on the hyperbola, the absolute value of the differences of its distances from the foci is 10. Find the standard equation of the hyperbola. 3. A hyperbola has vertices (-4, -5) and (-4, -9), and one of its foci is (-4, -2v65). Find the standard equation of the hyperbola.
Transcribed Image Text:Activity 2. Write the standard form of the equation of a hyperbola with the given conditions and include an illustration (graph). You can write your solution in separate sheet. 1. Vertices :(3, -5) and (3,1) 4. Vertices :(0,2) and (0, -2) Asymptotes: y= 2x-8 and y=-2x+4 Foci :(0,8) and (0, -8) 2. The foci of a hyperbola are (-5, -3) and (9, -3). For any point on the hyperbola, the absolute value of the differences of its distances from the foci is 10. Find the standard equation of the hyperbola. 3. A hyperbola has vertices (-4, -5) and (-4, -9), and one of its foci is (-4, -2v65). Find the standard equation of the hyperbola.
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