Question 1187216: Write the equation of the hyperbola . Vertices: (0, 2), (0, - 2) Focus : (0, 6)
Answer by MathLover1(20850) (Show Source):
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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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