Question

(x - 6)²/2² + (y - 2)²/1² vertices for ellipse.

A) (6, 2)
B) (2, 6)
C) (4, 1)
D) (1, 4)

Answer 1

The vertices of the given ellipse are at (6, 2), which is the center of the ellipse, making option A the correct answer.

Step-by-step explanation:

The question is asking to find the vertices of an ellipse given its equation in the standard form (x - h)²/a² + (y - k)²/b², where (h, k) is the center of the ellipse. For the given ellipse equation (x - 6)²/2² + (y - 2)²/1², the center is at (6, 2). Therefore, option A) (6, 2) is the correct answer as it represents the center, which for an ellipse is also where the vertices are aligned with, either horizontally or vertically depending on the lengths of the axes.