Question

the graph shows an ellipse. what is its center?

Explanation:

Step1: Recall the definition of the center of an ellipse

The center of an ellipse is the mid - point of the major axis and the minor axis. It is the point of intersection of the axes of symmetry of the ellipse.

Step2: Identify the axes of symmetry

For an ellipse, if we consider the standard coordinate system \(x - y\) plane, the ellipse is symmetric about the \(x\) - axis and \(y\) - axis. The intersection point of the \(x\) - axis (\(y = 0\)) and \(y\) - axis (\(x=0\)) is \((0,0)\)

Answer:

\((0,0)\)