SOLUTION: Write the equation of an ellipse with vertices (0, 12) and (0, -12) and co-vertices (2, 0) and (-2, 0).

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write the equation of an ellipse with vertices (0, 12) and (0, -12) and co-vertices (2, 0) and (-2, 0).      Log On


   



Question 1068142: Write the equation of an ellipse with vertices (0, 12) and (0, -12) and co-vertices (2, 0) and (-2, 0).
Answer by ikleyn(52802) About Me  (Show Source):
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Write the equation of an ellipse with vertices (0, 12) and (0, -12) and co-vertices (2, 0) and (-2, 0).
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The center of the ellipse would be (0,0).  The semi-major axis is a = %2812-%28-12%29%29%2F2+) = 12 directed vertically. 

The semi-minor axis is a = %282-%28-2%29%29%2F2+) = 2 directed horizontally  

The standard form of an ellipse equation is 

x%5E2%2F2%5E2%2By%5E2%2F12%5E2 = 1. 

See the lesson
    - Ellipse definition, canonical equation, characteristic points and elements
in this site.