SOLUTION: write equation for hyperbola with verticies (6,8) (6,0) and asymptotoes y=8(x-6)

Question 817425: write equation for hyperbola with verticies (6,8) (6,0) and asymptotoes y=8(x-6)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
write equation for hyperbola with verticies (6,8) (6,0) and asymptotoes y=8(x-6)
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Given hyperbola has a vertical transverse axis.
Its standard form of equation: , (h,k)=(x,y) coordinates of center
For given hyperbola:
center: (6,4)
length of vertices=8=2a
a=4
a^2=16
asymptote:
y=8(x-6)
y=8x-48
slope=8
slopes of hyperbolas wit vertical transverse axis=�a/b
a/b=�8
b=a/�8=4/�8=�1/2
b^2=1/4
..
Equation of given hyperbola:

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