SOLUTION: 9x^2+18x+2y^2-12y=-9

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Question 671167: 9x^2+18x+2y^2-12y=-9
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

conic Forms:

Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+ 

Hyperbola opening up and down is: %28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1

Hyperbola opening right and  left is:  

Parabola opening right(a>0) or left(a<0), x=a%28y-k%29%5E2+%2Bh

9x^2+18x+2y^2-12y=-9

 9%28x%2B1%29%5E2+%2B+2%28y-3%29%5E2+=+-9+%2B+9+%2B+18

 %28x%2B1%29%5E2%2F2+%2B+%28y-3%29%5E2%2F9+=1  Ellipse