SOLUTION: A hyperbola has vertices (1,9) and (13,9), and one of its foci is (−2,9). Find its standard equation.

Question 1180954: A hyperbola has vertices (1,9) and (13,9), and one of its foci is (−2,9). Find its standard equation.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The transverse axis (between the two vertices) is horizontal, so the branches of the hyperbola open left and right; the general equation is

The center is halfway between the two vertices, at (7,9).

a is the distance from the center to either vertex, so a=6; a^2=36.

c is the distance from the center to either focus, so c=9; c^2=81.

b^2=c^2-a^2=45

ANSWER:

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