Question 934208
Write an equation for the ellipse with vertices (-2,0)(-2,-6)(-4,-3) and (0,-3)
***
Given ellipse has a vertical major axis.
Its standard form of equation:{{{(x-h)^2/b^2+(y-k)^2/a^2=1}}}, a>b, (h,k)=coordinates of the ceter.
..
center: (-2,-3)
a=3
a^2=9
b=2
b^2=4
equation:{{{(x+2)^2/4+(y+3)^2/9=1}}}