SOLUTION: Need help with this question. Find the center and foci of the ellipse. (x+5)2 + (y+1)2=1 ___________ _______ 11 36

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Need help with this question. Find the center and foci of the ellipse. (x+5)2 + (y+1)2=1 ___________ _______ 11 36      Log On


   

Question 444437: Need help with this question.
Find the center and foci of the ellipse.
(x+5)2 + (y+1)2=1
___________________
11 36
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi



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 and a and b  are the respective vertices distances from center.

  +%28x%2B5%29%5E2%2F11%2B+%28y%2B1%29%5E2%2F36+=+1  f = sqrt(36-11) = sqrt(25) = 5

  Center(-5,-1) and foci are (-5, -6) and (-5,4)