SOLUTION: Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci: (0, -9), (0, 9); vertices: (0, -6), (0, 6)

Question 1178236: Find the standard form of the equation of the hyperbola satisfying the given conditions.
Foci: (0, -9), (0, 9); vertices: (0, -6), (0, 6)
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

As the vertices are (, ) and (, ), the center is at (.)
The hyperbola opens up and down , we need

the vertices are 6 unitc from the center, thus

The foci are units from the center. The distance to the focus is .

Thus,

Equation of the hyperbola:

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