SOLUTION: Find the equation for the hyperbola with vertices (0,9) (0,-9) and asymptotes y=1/2x and y=-1/2x?

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Question 864757: Find the equation for the hyperbola with vertices (0,9) (0,-9) and asymptotes y=1/2x and y=-1/2x?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Standard Form of an Equation of an Hyperbola opening up and down is:

  %28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1 with C(h,k) and vertices 'b' units up and down from center

Foci sqrt%28a%5E2%2Bb%5E2%29units units up and down from center, along x = h

vertices (0,9) (0,-9)

%28y%29%5E2%2F9%5E2+-x%5E2%2Fa%5E2=1+  C(0,-2)

asymptotes y=1/2x and y=-1/2x: 9/a = 1/2, a = 18

%28y%29%5E2%2F9%5E2+-x%5E2%2F18%5E2=1+