Question

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

Answer 1

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!