Write as



Compare to 

 which is an ellipse taller than it is wide

h=0, k=0, a=6, b=5 (a is larger than b in an ellipse)

From the center (h,k) = (0,0), go a=6 units up and down, to form
the major axis, and go b=5 units right and left, to form the minor axis.

The vertices are (h,k±a) = (0,a) and (0,-6)

The co-vertices are (h±a,k) = (-5,0) and (0,-5)

The major and minor axes are in green below:



We sketch in the ellipse:



We calculate c, the distance from Center to foCus.







So the foci are (h,k±c) =  and 

Draw the chords through them (in blue), which are 
the latus recta:



We find the ends of the latus recta by substituting y=±√11 for y
in the equation of the ellipse and solving for x








So the ends of the latus recta are 

,,
,

Edwin