The conic equation is
.
The ellipse equation is
.
Rewrite the equation into standard form of ellipse.
\\


.
Compare it to standard form of vertical ellipse is
.
is length of semi major axis and
is length of semi minor axis.
Center is
.
and
.
vertices:
\
and 
Vertices are
and
.
Foci
.
.
Substitute
and
.


.
Foci :
.
and
.
(a) The graph of the equation represents an ellipse.
\(b) Vertices are
and
.
Foci is
and
.