SOLUTION: Write the equation of a hyperbola with vertices (3, -1) and (3, -9) and co-vertices (-6. -5) and (12, -5).

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write the equation of a hyperbola with vertices (3, -1) and (3, -9) and co-vertices (-6. -5) and (12, -5).       Log On


   



Question 777409: Write the equation of a hyperbola with vertices (3, -1) and (3, -9) and co-vertices (-6. -5) and (12, -5).

Answer by solver91311(24713) About Me  (Show Source):
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is the equation of an ellipse centered at , and having a vertical major axis, where is the measure of the semi-major axis, and is the measure of the semi-minor axis.

The center of the ellipse is the midpoint of either the major or minor axis, and the measure of the semi-major axis is the distance from either endpoint to the midpoint, likewise for the semi-minor axis.

Useful tools:

The mid-point formulas:

and



The distance formula:



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