Find the equation of standard form of ellipse with specified features

Question

Center (2,1),vertical major axis of length,8 of length 3

Answer 1

(x-2)^2/4^2 + (y-1)^2/(3/2)^2 = 1

standard form of an equation for an ellipse is

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

where (h,k) is the center of the ellipse and

a and b are the semi-axes of the ellipse

if the major axis is 8, then the semi-axis is 4 = b

if the minor axis is 3, then the semi axis is 3/2 = a