Question

Write the equation of the ellipse with its center at the origin. The height of the ellipse is 8 units and the width is 4 units.

Answer 1

The standard equation of an ellipse is:

(x-h)²/a² + (y-k)²/b² = 1

Since the center at the origin, then h = k = 0

The height of this ellipse = 8 units and the width = 4 units, that means the major axis is b (=8) and the minor axis is a (=4)

Then the equation becomes:

x²/16 + y²/64 = 1