SOLUTION: Write the equation of a hyperbola with vertices (0,-4) and (0,4) and foci (0,-5) and (0,5)

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Question 888070: Write the equation of a hyperbola with vertices (0,-4) and (0,4) and foci (0,-5) and (0,5)
Answer by lwsshak3(11628) About Me  (Show Source):
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Write the equation of a hyperbola with vertices (0,-4) and (0,4) and foci (0,-5) and (0,5)
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Given data shows hyperbola as a vertical transverse axis with center at the origin.
Its standard form of equation: y%5E2%2Fa%5E2-x%5E2%2Fb%5E2=1
a=4 (distance from center to vertices)
a^2=16
c=5 (distance from center to foci)
c^2=25
c^2=a^2+b^2
b^2=c^2-a^2=25-16=9
equation: y%5E2%2F16-x%5E2%2F9=1