SOLUTION: Write an equation for a hyperbola with its center at (2, 3), one vertex at (7, 3), and one focus at (14, 3).

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Question 875663: Write an equation for a hyperbola with its center at (2, 3), one vertex at (7, 3), and one focus at (14, 3).
Answer by lwsshak3(11628) About Me  (Show Source):
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Write an equation for a hyperbola with its center at (2, 3), one vertex at (7, 3), and one focus at (14, 3).
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Given data show hyperbola has a horizontal transverse axis.
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1, (h,k) = coordinates of center
center: (2,3) (given)
a=5 (distance from center to vertices)
a^2=25
c=12 (distance from center to foci)
c^2=144
c^2=a^2+b^2
b^2=c^2-a^2=144-25=119
equation: %28x-2%29%5E2%2F25-%28y-3%29%5E2%2F119=1