SOLUTION: Find the equation of the hyperbola for each given conditions. a. Vertices at (o,3) and (0,-3) and a focus at (0,5).

Question 1191089: Find the equation of the hyperbola for each given conditions.
a. Vertices at (o,3) and (0,-3) and a focus at (0,5).

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

given:

Vertices at (,) and (,)
a focus at (,)
in your case the transverse axis lies on the y-axis, the vertices are located at (,±), and the foci are located at (,±)
=>
=>
Center is half way between, at (,)=>,
in this case your equation is of the form:

find can be found using this formula:

equation is:

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