Question

the graph shows an ellipse. what are its vertices?

Explanation:

Step1: Recall the definition of vertices of an ellipse

The vertices of an ellipse are the points where the ellipse intersects its major axis. In a standard - form ellipse centered at the origin \((h = 0,k = 0)\), if the major axis is along the \(x\) - axis, the vertices are \((\pm a,0)\).

Step2: Locate the intersection points of the ellipse with the \(x\) - axis

Looking at the graph, the ellipse intersects the \(x\) - axis at \((- 8,0)\) and \((8,0)\)

Answer:

\((-8,0)\) and \((8,0)\)