The conic equation is
.
Rewrite the equation by completing the squares method.
\

.
The standard form of parabola is
.
Thus the graph of the equation represents a parabola.
\Compare the equation
with
.
Here
and
.
.
The focus is
.
The vertex of the parabola is
.
The focus is
.
Foci is
.
(a) The graph of the equation represents a parabola.
\(b) Vertex
and Foci
.