SOLUTION: Write the equation of a hyperbola with vertices of (1,3)c (7,3) and a minor axis of 12.

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Question 876349: Write the equation of a hyperbola with vertices of (1,3)c (7,3) and a minor axis of 12.
Found 2 solutions by josgarithmetic, ewatrrr:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Center is at (4,3) with a=%287-1%29%2F2=3. Not sure about what you say, minor axis of 12. This seems to be b=6.

Major axis is horizontal, so the subtraction would go with with the y term.
%28x-4%29%5E2%2F3%5E2-%28y-3%29%5E2%2F6%5E2=1.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
V(1,3)& C(7,3) and a minor axis of 12 (2b= 12), b =6
C(7,3) vertices ± 6 from center
Standard Form of an Equation of an Hyperbola opening right and left is:%28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2F6%5E2+=+1
%28x-7%29%5E2%2Fa%5E2+-+%28y-3%29%5E2%2F6%5E2+=+1
sqrt(a^2 + b^2) = sqrt(a^2 + 36) = 6, a^2 = 36, a = 6
%28x-7%29%5E2%2F36+-+%28y-3%29%5E2%2F36=+1