What is the equation that matches the graph 101 10 10 Soluti

Solution

This is an ellipse and the equation of ellipse with vertical major axis is given by

(x-h)^2/b^2 + (y-k)^2/a^2 = 1

Here (h,k) is the center of the ellipse which is at (-3,2)

a is the length of the semi major axis which is equal to (8 + 4)/2 = 12/2 = 6

and b is the length of semi minor axis which is equal to 3

Hence the eqn is

(x _ 3)^2/9 + (y - 2)^2/36 = 1