Question 1011162: write the equation of a hyperbola with vertices at (3,-1) and (3,-9) and co-vertices at (-6,-5) and (12,-5)
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! write the equation of a hyperbola with vertices at ( , ) and (, ) and co-vertices at ( , ) and ( ,)
since (,) and (,) are vertically aligned (they have the same x-coordinates), so the hyperbola is vertical.
Equation of a vertical hyperbola:
with
center ( , )
vertices (,± )
co-vertices (± ,)
foci (,± ), 
Apply your data.
The center is midway between the vertices, at (,).
vertices (,±) = (,) and (,)
co-vertices (±,) = (,) and (,)
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