I really need help with this problem.

Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and c = 81,000 km. Assume that the center of the hyperbola is the origin and the transverse axis is horizontal.
I have the answer but would like to learn the steps,

Question

I really need help with this problem.

Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and c = 81,000 km. Assume that the center of the hyperbola is the origin and the transverse axis is horizontal. 
I have the answer but would like to learn the steps,

phi · Answer

Is c the distance from the center to a focus ?

anonymous · Answer

I do have the answer but that doesnt help with knowing how to do the problem.
x^2/(3,025,000,000) - y^2/(3,536,000,000)=1

anonymous · Answer

Does that help? I'm not sure what to do.

phi · Answer

The first thing is know the equation of a hyperbola http://www.clausentech.com/lchs/dclausen/algebra2/hyperbolas.htm

phi · Answer

they say the transverse axis is horizontal

that means this thing will look like
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