The conic equation is .
Since the coefficients of and
are the same sign but unequal coefficients,
the equation represents an ellipse.
\Convert the equation in standard form of ellipse.
\.
Compare it to standard form of vertical ellipse is .
Where ,
is length of semi major axis and
is length of semi minor axis,
Center is ,
Vertices ,
Foci , and
Eccentricity .
Where .
In this case .
Center is
Vertices are
.
Foci
Eccentricity : .
Graph:
\Draw the coordinate plane.
\Plot the center, vertices and foci of ellipse.
\Then sketch the ellipse, use the semi major axis length is units and semi minor
axis length is units.
Center , vertices
, foci
and eccentricity
.
Graph the circle equation .