Find the center and vertices of the ellipse.
A)center: (-1, 3), vertices: (-3, 3), (1, 3)
B)center: (-3, 1), vertices: (-4, 1), (-2, 1)
C)center: (3, -1), vertices: (2, -1), (4, -1)
D)center: (3, -1), vertices: (1, -1), (5, -1)
E)center: (-3, 1), vertices: (-5, 1), (-1, 1)

Question

Find the center and vertices of the ellipse. ​  ​
A)center: (-1, 3), vertices: (-3, 3), (1, 3) 
B)center: (-3, 1), vertices: (-4, 1), (-2, 1) 
C)center: (3, -1), vertices: (2, -1), (4, -1) 
D)center: (3, -1), vertices: (1, -1), (5, -1) 
E)center: (-3, 1), vertices: (-5, 1), (-1, 1)

Quizplus · Accepted Answer

The center of the ellipse is given by the point (h, k) = (3, -1). The distance between the center and each vertex is given by the value a, which is equal to 2. Therefore, the vertices are located at a distance of 2 units from the center along the major axis. The major axis is horizontal and passes through the points (h + a, k) and (h - a, k), which give us the vertices (1, -1) and (5, -1).

Find the Center and Vertices of the Ellipse