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):
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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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