Question 616126
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi, 
Note:
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.
Identify the center, vertices, and co vertices 
{{{(x+4)^2/4 + (y-1)^2/1 =1}}} is  {{{(x+4)^2/2^2 + (y-1)^2/1^2 =1}}}  ||C(-4,1), V(-2,1) and V(-6,1) Co vertices (-4,2) and (-4,0)
{{{25x^2 + y^2 +400x +4y +1579= 0}}} is {{{(x+8)^2/1^2 + (y+2)^2/5^2 = 1}}} ||C(-8,-2), V(-8,3) and V(-8,-7) Co vertices (-3,-2) and (-5,-2)
{{{(x-3)^2/49 + (y+3)^2/81 = 1}}} is {{{(x-3)^2/7^2 + (y+3)^2/9^2 = 1}}} ||C(3,-3), V(3,6) and V(3,-12) Co vertices (10,-3) and (-4,-3)
{{{drawing(300,300,   -10,10,-10,10,  arc(-4,1,4,2),arc(-8,-2,2,10),arc(3,-3,14,18),
 grid(1),
circle(-4, 1,0.3),
circle(-8, -2,0.3),
circle(3, -3,0.3),

graph( 300, 300, -10,10,-10,10))}}}