Question 1201149
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<pre>

Semi-axes are of the length 6 and 2, and the major axis is horizontal.


Therefore, the standard equation of the ellipse is


    {{{(x+1)^2/6^2}}} + {{{(y-3)^2/2^2}}} = 1.



It is as simple/standard as 2 x 2 = 4.
</pre>

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See the lessons

&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>  

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Quadratic-relations-and-conic-sections/Standard-equation-of-an-ellipse.lesson>Standard equation of an ellipse</A>

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