18.1k views
4 votes
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.

1 Answer

5 votes
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

User Tobias Reich
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories