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Find the center, vertices, and foci of the ellipse with equation x squared divided by 400 plus y squared divided by 625 = 1

User Abude
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Answer:

Center: (0, 0); Vertices: (0, -25), (0, 25); Foci: (0, -15), (0, 15)

Explanation:

The center is (0,0) because there is no (h,k)

The vertices are (0, -25), (0, 25) because we use the formula (x-h)^2/b^2 + (y-k)^2/a^2 = 1, since the y's denominator is larger.

The foci are (0, -15), (0, 15) because we use the formula a^2=b^2+c^2 to find the foci, a=625 and b=400, simplify to c=+ or - 15 and you get your foci.

User LearnAndImprove
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