SOLUTION: convert the ellipse -16y+52=-2x^2-8x-y^2

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Question 657484: convert the ellipse -16y+52=-2x^2-8x-y^2
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

-16y+52=-2x^2-8x-y^2

2x^2+8x+y^2-16y = -52

2(x+2)^2 + (y-8)^2 = -52 + 8 + 64

2(x+2)^2 + (y-8)^2 = 20

%28x%2B2%29%5E2%2F10+%2B+%28y-8%29%5E2%2F20+=+1

Standard Form of an Equation of an Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+ 

where Pt(h,k) is the center