Question

8. Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 4

Answer 1

Hello,

If center is (0,0)

x²/a²+y²/b²=1 for a half horizontal axis of a, and a half vertical axis of b

Here

a=2 ==> a²=4

b=8 ==> b²=64

$\boxed{\dfrac{x^2}{4}+ \dfrac{y^2}{64}=1}$