SOLUTION: Write an equation of a hyperbola with foci (6,0) and (-6,0) if the length of the transverse axis is 8 units

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Question 972215: Write an equation of a hyperbola with foci (6,0) and (-6,0) if the length of the transverse axis is 8 units
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
For hyperbola, a%5E2%2Bb%5E2=c%5E2, and yours is centered at the origin, and your a=8%2F2=4. Your c is c=6.

x%5E2%2Fa%5E2-y%5E2%2Fb%5E2=1

x%5E2%2F4-y%5E2%2Fb%5E2=1



The a, b, c relationship:
b%5E2=c%5E2-a%5E2
b%5E2=36-16
b%5E2=20


highlight%28x%5E2%2F4-y%5E2%2F20=1%29