The standard form of vertical ellipse is
.
Where
and
.
: length of semi major axis,
: length of semi minor axis,
Center :
,
Foci :
,
Vertices :
,
Co-vertices :
,
Major axis :
,
Minor axis :
.
The ellipse equation is
.
Rewrite the above equation as
.
Compare the equation with
.
and
.
.
Center :
.
Foci :
.
Vertices :
.
Co-vertices :
.
Major axis :
.
Minor axis :
.
Make a table of values to sketch the ellipse.
\The ellipse equation is
.
Solve for
.

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Graph :
\Plot the points obtained in the table.
\Plot foci, vertices and center of the ellipse.
\Graph the ellipse
:
.
Graph of
:
.