The equation is .
Complete the squares.
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Divide the equation on both sides with .
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Compare it to standard form of the ellipse equation is .
Here , so major axis is parallel to
-axis.
Where, is the center of the ellipse.
is the length of the semi major axis.
is the length of the semi minor axis.
.
.
is the distance between center and focus.
Distance between center and focus is .
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The center of the ellipse is .
The vertices of the ellicpse is at .
The foci of the ellicpse is at .
Graph :
\(1) Draw the coordinate plane.
\(2) Plot the center, foci and vertices.
\(3) Draw the equation of the ellipse.
\The center of the ellipse is .
The vertices of the ellipse is at and
.
The foci of the ellipse is at and
.
Graph of the ellipse is
\