SOLUTION: Write the equation of the hyperbola . Vertices: (0, 2), (0, - 2) Focus : (0, 6)

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Question 1187216: Write the equation of the hyperbola . Vertices: (0, 2), (0, - 2) Focus : (0, 6)
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

the equation of the hyperbola:
given:
Vertices: (,), (, )
Focus : (,)
since transverse axis parallel to the y-axis, equation is

Center is half way between vertices: (,)=(,)=(,) => ,

the coordinates of the vertices are (, ± )=(, )=>
the coordinates of the foci are ()=(, ) =>
find





and your equation is:





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