Question 437941
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Hi
 Standard Form of an Equation of an Ellipse is {{{(x-h)^2/a^2 + (y-k)^2/b^2 = 1 }}}
where Pt(h,k) is the center and a and b  are the respective vertices distances from center.
{{{(x-1)^2/13 + (y+6)^2/49 = 1}}}
 C(1,-6)  Yes!
  F = {{{sqrt(49-13) = sqrt(36) = 6}}}
foci are along the major axis: need to determine that major axis
foci are (1,0) and (1,-12)
{{{drawing(300,300,  -15,15,-15,15,  arc(1,-6,7.2,14),
 grid(1),
circle(1, -6,0.4),
circle(1, 0,0.4),
circle(1, -12,0.4),
line(1,1,1,-13),
graph( 300, 300, -15,15,-15,15))}}}