Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.

How Do You Write an Equation for an Ellipse Centered at the Origin Given a Vertex and a Co-Vertex?
What are Conic Sections?
What is an Ellipse?

An ellipse is a specific shape with some very neat pieces! In this tutorial, you'll learn multiple definitions of an ellipse and see all its different parts.
What is the Standard Form of the Equation of a Horizontal Ellipse?
What is a Hyperbola?

This tutorial explains how hyperbolas are created. It also shows you the different parts of hyperbolas and defines them multiple ways. Follow along with this tutorial to learn all about hyperbolas!