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 :
.