# If the equation of a conic section is #(x-3)^2/49+(y-4)^2/13=1#, how has its center been translated?

##### 1 Answer

Sep 23, 2015

This conic section is called an **ellipse** with a center at (3, 4).

#### Explanation:

This is an ellipse with a *horizontal* major axis centered at (3, 4). This ellipse has both a horizontal and vertical shift from a standard ellipse centered at (0,0).

It has been translated 3 units horizontally to the **right** and 4 units vertically **upward** .

Hope that helps!