# How do you find the equation of an ellipse with vertices #(0,+-5)# and passes through the point (4,2)?

##### 1 Answer

Because the vertices are vertically oriented, we use the general Cartesian form:

where

#### Explanation:

The general form for vertically oriented vertices are:

These general forms and the given vertices

Substitute these values into equation [1]:

Substitute the point

Here is a graph of equation [3] and the three points: