SOLUTION: Find equation for hyperbola that has foci (0, +-5) and vertices (0, +-3)

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Question 933440: Find equation for hyperbola that has foci (0, +-5) and vertices (0, +-3)
Answer by lwsshak3(11628) About Me  (Show Source):
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Find equation for hyperbola that has foci (0, +-5) and vertices (0, +-3)
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hyperbola has a vertical transverse axis
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1,(h,k)=coordinates of center
For given hyperbola:
center: (0,0)
vertices:
a=3
a^2=9
foci:
c=5
c^2=25
c^2=a^2+b^2
b^2=c^2-a^2=25-9=16
equation: x%5E2%2F9-y%5E2%2F16=1