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 875650: 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 ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
C(2,3), V(7,3) Opening Right and Left along y = 3
%28x-2%29%5E2%2F5%5E2+%2B+%28y-3%29%5E2%2Fb%5E2+=+1
F(14,3) c = 12, 12^2 = 5^2 + b^2, b^2 = 119
%28x-2%29%5E2%2F25+%2B+%28y-3%29%5E2%2F119+=+1
Standard Form of an Equation of an Hyperbola opening right and left is:
%28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1 with C(h,k) and vertices 'a' units right and left of center,
Foci are sqrt%28a%5E2%2Bb%5E2%29 = c - units right and left of center along y = k