What is the equation for the ellipse if the ellipse is centered at the origin and the length of its horizontal axis is 4 and lengeth of the vertical axis is 8?

Answer 1

Ellipse formula, centered at the origin, where the vertical axis is the major axis:

x2/b2 + y2/a2 = 1, a > b

Since the major axis is 8, then a = 4.

Since the minor axis is 4, then b = 2.

Thus, the equation of the ellipse is:

x2/4 + y2/16 = 1.