SOLUTION: find the standard form of the equation of the specified hyperbola vertices: (0,2)and (0,-2) foci: (0,4)and(0,-4)

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Question 873471: find the standard form of the equation of the specified hyperbola
vertices: (0,2)and (0,-2)
foci: (0,4)and(0,-4)

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find the standard form of the equation of the specified hyperbola
vertices: (0,2)and (0,-2)
foci: (0,4)and(0,-4)
***
Given data shows that hyperbola has a vertical transverse axis.
Its standard form of equation: %28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1, (h,k)=coordinates of center
center: (0,0)
a=2
a^2=4
c=4
c^2=16
c^2=a^2+b^2
b^2=c^2-a^2=16-4=12
equation: y%5E2%2F4-x%5E2%2F12=1