SOLUTION: what type of conic section is the following equation: {{{(y-4)^2/5^2 - (x+2)^2/7^2 = 1}}}

Algebra ->  Algebra  -> Quadratic-relations-and-conic-sections -> SOLUTION: what type of conic section is the following equation: {{{(y-4)^2/5^2 - (x+2)^2/7^2 = 1}}}      Log On

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Question 612067: what type of conic section is the following equation: %28y-4%29%5E2%2F5%5E2+-+%28x%2B2%29%5E2%2F7%5E2+=+1
Answer by Earlsdon(6287) About Me  (Show Source):
You can put this solution on YOUR website!
This is the equation of a(n) hyperbola, the general form of which is:
%28y-k%29%5E2%2Fa%5E2+-+%28x-h%29%5E2%2Fb%5E2+=+1
with center at (h, k) and whose transverse axis is parallel to the y-axis.
In this case, the center of the hyperbola is at (-2, 4)