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Find the center, vertices, and foci of the ellipse with equation 2x2 + 8y2 = 16.

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asked Aug 4, 2014 in CALCULUS by Tdog79 Pupil

1 Answer

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The ellipse equation image

The standard form for an ellipse is in a form = 1, So divide both sides of equation by 16 to set it equal to 1.

image

image

image

Compare it to standard form of  horizontal ellipse is image

Where image

Center (h,k)

Vertices are (h+a,k), (h-a,k)

Foci(h+c,k),(h-c,k)

image.

In this case image

image

Vertices are (h+a,k), (h-a,k)

image

Foci(h+c,k),(h-c,k)

image

image

image.

answered Aug 4, 2014 by david Expert

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