SOLUTION: Find the center and foci of the ellipse: (x-1)2 + (y+6)2 ------- -------=1 13 49 I think the answer is center (1,-6) and foci (-7,6), (5,6). Is this correct?

Algebra ->  Rational-functions -> SOLUTION: Find the center and foci of the ellipse: (x-1)2 + (y+6)2 ------- -------=1 13 49 I think the answer is center (1,-6) and foci (-7,6), (5,6). Is this correct?       Log On


   

Question 437941: Find the center and foci of the ellipse:
(x-1)2 + (y+6)2
------- -------=1
13 49
I think the answer is center (1,-6) and foci (-7,6), (5,6). Is this correct?
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-1%29%5E2%2F13+%2B+%28y%2B6%29%5E2%2F49+=+1

 C(1,-6)  Yes!

  F = sqrt%2849-13%29+=+sqrt%2836%29+=+6

foci are along the major axis: need to determine that major axis

foci are (1,0) and (1,-12)