SOLUTION: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices (4,-1), (4,3) Foci: (4,-2) ,(4,4) need help solving this problem.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices (4,-1), (4,3) Foci: (4,-2) ,(4,4) need help solving this problem.      Log On


   



Question 438126: Find the standard form of the equation of the hyperbola with the given characteristics.
Vertices (4,-1), (4,3) Foci: (4,-2) ,(4,4)
need help solving this problem.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The center of the hyperbola is (4, 1).
Transverse axis is parallel to the x-axis.
Here a = 2, and c = (4--2)/2 = 6/2 = 3, and b%5E2+=+c%5E2+-+a%5E2+=+9+-+4+=+5
==> The equation is %28x-4%29%5E2%2F4+-+%28y+-+1%29%5E2%2F5+=+1.