Example: Sketch the graph of ellipses.
(x +2)^{2}/9 + ( y - 4)^{2}/25 =1
Solution
So, the center of this ellipse is ( -2, 4) and as usual be careful with signs here! Also, we have
a =3 & b= 5. Therefore, the points are,
right most point : (1, 4)
left most point : ( -5, 4)
top most point : ( -2, 9)
bottom most point : ( -2, -1)
Following is a sketch of this ellipse.