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What is the center of the following graph?

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What is the center of the following graph?
ellipse through the points (5, 2), (2, 4), (negative 1, 2) and (2, 0)
A. (2, 2)
B. (-2, 0)
C. (1, 3)
D. (3, 1)

 

asked Sep 8, 2014 in ALGEBRA 2 by tonymate Pupil

1 Answer

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Best answer

From the graph, the ellipse is horizontal.

The major axis : 2a = 6 ----> a = 3.

The minor axis : 2b = 4 ----> b = 2.

Vertices : (- 1, 2) and (5, 2)

Co-vertices : (2, 0) and (2, 4)

Center : (h, k) = The mid point of the vertices or co-vertices.

(h, k) = [(2 + 2)/4, (0 + 4)/2]

(h, k) = (2, 2)

The option A is correct.
answered Sep 9, 2014 by casacop Expert
selected Sep 9, 2014 by tonymate

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