Question 74533
Write an equation for an ellipse if the endpoints of the major axis are at (1,6) and (1,-6) and the endpoints of the minor axis are at (5,0) and (-3,0). 

The length of the major axis would be 12 units. 2a=12. a=6. 
The length of the minor axis is 8 units. 2b=8. b=4. 
The equation for an ellipse is y^2/a^2 + x^2/b^2=1. 
So the answer would be y^2/36 + x^2/16=1. 
Can someone please tell me if I did this right?
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Your equation would cause the center to be at (0,0)
If you plot the end points of the major and the minor axis you will 
see that the center is at (1,0).
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Can you adjust your equation for that?
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Cheers,
Stan H.