Write the equation of the ellipse using the given information: the ellipse has foci (0, 3),
and (0, −3) and vertices (0, 5), and (0, −5).
The major axis will lie on the y axis and the center is (0,0)
"a" = 5 and "c" = 3
And we need to find "b" in this equation
y^2 / 25 + x^2 / b^2 = 1
b = sqrt (a^2 - c^2) = sqrt ( 5^2 - 3^2) = sqrt (16) = 4
So......b^2 = 16
And the equation is
y^2 / 25 + x^2 / 16 = 1
Here's the graoh : https://www.desmos.com/calculator/kzjn2slwcp