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
.