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What is the equation of the following graph?

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What is the equation of the following graph?
ellipse through the points (5, 0), (0, 3), (negative 5, 0) and (0, negative 3)
A. x squared divided by 25 plus y squared divided by 9 equals 1
B. x squared divided by 9 plus y squared divided by 25 equals 1
C. x squared divided by 25 minus y squared divided by 9 equals 1
D. x squared divided by 9 minus y squared divided by 25 equals 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 = 10 ----> a = 5

The minor axis : 2b = 6 ----> b = 3

Center : (h, k) = (0, 0)

Horizontal ellipse : x²/a² + y²/b² = 1

Substitute a = 5 and b = 3 in the Horizontal ellipse

x²/5² + y²/3² = 1

x²/25 + y²/9 = 1

The option A is correct.

answered Sep 8, 2014 by casacop Expert
selected Sep 8, 2014 by tonymate

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