Question 441912
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi, Previously posted
the foci of the ellipse (X + 3)^2/25 + (Y - 2)^2/9 = 1
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.
  Center(-3,2)   f = {{{sqrt(25-9) = sqrt(16)}}} = 4
foci are (-7,2) and (1,2)
 {{{drawing(300,300,  -15,15,-15,15,  arc(-3,2,10,6), grid(1),
circle(-7, 2,0.3),
circle(1,2,0.3),
circle(-3, 2,0.3),
graph( 300, 300, -15,15,-15,15 ))}}}