# Ellipses and foci points

- Author:
- Nate

- Topic:
- Ellipse

## Foci points in an ellipse

A horizontal ellipse has an equation of the form with ( . The

*k, k*) representing the coordinates of the center,*a*is the horizontal distance from the center to each left and right vertex (*on the major axis*), and*b*representing the the vertical distance from the center to each up and down vertex (*on the minor axis*). If the ellipse is centered at the origin,*h = 0*and*k = 0*, so the equation is simplified to*foci points*in an ellipse are represented by*"c"*, the distance from the center to each focus point along the major axis. Enter values for*a*and*b.*What is the relationship between the lengths of*a, b,*and*c*?