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Please help!!! Write a conic equation for an ellipse centered at (-2,3) with a major vertical axis 14 units long and a minor axis 6 units long. 

 Oct 28, 2016
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You don't say which way the ellipse is oriented.....if the major axis is parallel to the x axis, we have

 

(x + 2)^2  /  7^2   + (y - 3) / 3^2  = 1      simplify this

 

(x + 2)^2 / 49  + (y -3) / 9   = 1

 

However....if the major axis is parallel to the y axis, we have

 

(x + 2)^2  /  3^2   + (y - 3) / 7^2  = 1  

 

(x + 2)^2 / 9  + (y -3) / 49   = 1

 

 

 

cool cool cool

 Oct 28, 2016

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