SOLUTION: Find an equation in standard form for the hyperbola with vertices at (0, ±6) and asymptotes at y = ±three divided by four times x..

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Question 1027926: Find an equation in standard form for the hyperbola with vertices at (0, ±6) and asymptotes at
y = ±three divided by four times x..
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The hyperbola would have the standard form of y%5E2%2F36+-+x%5E2%2Fb%5E2+=+1, and we have to find b.
==> y%5E2+=+%2836%2Fb%5E2%29%28b%5E2%2Bx%5E2%29
==> y = ±%286%2Fb%29x (asymptotically) as x goes to infinity.
==> 6%2Fb+=+3%2F4 ==> b = 8, and the standard form would be y%5E2%2F36+-+x%5E2%2F64+=+1.