Write an equation of the ellipse, with vertices at (1, 5) and (1, –1) and co-vertices at (0, 2) and (2, 2)

Answer 1

(x-1)^2 + [(y-2)^2]/9= 1

or

9(x-1)^2 + (y-2)^2 = 9

or

9(x^2-2x +1) + y^2-4y +4 = 9

9x^2 -18x +9 + y^2 -4y +4 = 9

9x^2 -18x + y^2 -4y = -4

what you probably want is

(x-1)^2 + [(y-3)^2)/3^2 = 1

where (1,3) is the center of the ellipse and a=1, b= 3, the semi axes

5--1 =6 6/2 = 3 is the y coordinate of the center of the ellipse

1--1= 2. 2/2 = 1 is the x coordinate of the ellipse center