How do you find an equation for the ellipse with vertices at (-6,4) and (10,4); focus at (8,4)?
Please see the explanation.
The equation of an ellipse:
Has vertices at
Has foci at
Use the vertices to write 3 equations:
Use equations  and  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: