Question 1155123
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<pre>

The center of the ellipse is at the point (0,0), the origin of the coordinate system.


The longer axis is vertical.  The longer semi-axis is 12 units long.


The shorter axis is horizontal.  The shorter semi-axis is 6 units long.


The canonical equation of the ellipse is


    {{{x^2/6^2}}} + {{{y^2/12^2}}} = 1,

or

    {{{x^2/36}}} + {{{y^2/144}}} = 1.
</pre>

Solved.


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&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Quadratic-relations-and-conic-sections/Ellipse-definition--canonical-equation--characteristic-points-and-elements.lesson>Ellipse definition, canonical equation, characteristic points and elements</A> 

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