# How do you find an equation for the ellipse with vertices at (-6,4) and (10,4); focus at (8,4)?

##### 1 Answer

Nov 16, 2016

Please see the explanation.

#### Explanation:

The equation of an ellipse:

Has vertices at

Has foci at

Use the vertices to write 3 equations:

Use equations [2] and [3] to solve for h and a:

Use the focus to write another equation:

Substitute values for h and a:

Substitute the values into the standard form: