Question 386103
  <pre><font size = 3 color = "indigo"><b>
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 vertices are determined by distance of a and b from center
   (x-1)^2/21 + (y-3)^2/4 = 1   sqrt(21) = 4.58
center is (1, 3), vertices are (5.58, 3) and (-3.58,3). minor axis is x=1
sqrt(21 - 4) = sqrt(17)= 4.12   Foci are:(5.12,3) and (-3.12,3)

{{{drawing(500,500, -15, 15, -1, 15,blue(line(1,10,1,-10)),grid(1),
circle(1, 3,0.2),
circle(5.58, 3,0.2),
circle(-3.58, 3,0.2),
circle(5.12, 3,0.2),
circle(-3.12, 3,0.2),
graph( 500, 500,-15,15,-1,15,3+2sqrt(1-.048(x-1)^2),3-2sqrt(1-.0489(x-1)^2)))}}}