Find an equation for the ellipse with center , foci and major axis of length .
An equation for the ellipse with center , foci and major axis of length .
The center and foci of the ellipse are and ; and length of the major axis is unit.
The length of the major axis is given, so use it to find and since foci are units away from the center. Then by the relation , the value can be calculated. The equation of the vertically shifted ellipse is .
The length of the major axis is units, so . The foci are units up and down to the center, so .
Since so .
Center of the ellipse is , It means and
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