SOLUTION: Find the standard form of the equation of each ellipse. 14. Major axis horizontal with length 12; length of minor axis 4; center: (−1, 3)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the standard form of the equation of each ellipse. 14. Major axis horizontal with length 12; length of minor axis 4; center: (−1, 3)      Log On


   

Question 1201149: Find the standard form of the equation of each ellipse.
14. Major axis horizontal with length 12; length of minor axis 4; center: (−1, 3)
Answer by ikleyn(52800) About Me  (Show Source):
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Semi-axes are of the length 6 and 2, and the major axis is horizontal.


Therefore, the standard equation of the ellipse is


    %28x%2B1%29%5E2%2F6%5E2 + %28y-3%29%5E2%2F2%5E2 = 1.



It is as simple/standard as 2 x 2 = 4.

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    - Ellipse definition, canonical equation, characteristic points and elements
    - Standard equation of an ellipse
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