# How do you find the center and vertices of the ellipse #x^2/25+y^2/16=1#?

##### 1 Answer

Center:

Vertices:

#### Explanation:

The standard form of the equation for an ellipse is given by:

with the point

From inspection of the original equation, we can see that

Further, we can calculate

From this we know that we can go 5 units to the left and 5 units to the right from the center

Thus, the vertices are located at:

A graph shows the ellipse:

graph{x^2/25+y^2/16=1 [-10, 10, -6, 6]}