The equation is
.
Divide the numerator and denominator by
.


Compare this polar equation with standard form
.
Where
and
.
Substitute
in
.

.
Since
, so the conic is parabola.
Directrix is parallel to the polar axis at a distance
below the pole.
The directrix is
.
Construct a table for different values of
.
| \
| \
\
| \
\
| \
\
| \
| \
| \
\
| \
\
| \
\
| \
The vertices are at
and
.
Graph:
\(1) Graph the polar co-ordinates.
\(2) Plot the points.
\(3) Connect the points to a smooth curve.
\(4) Draw the directrix is
.
.gif\")
The conic is parabola.
\The directrix is
.
Plot the vertices are
and
.
.gif\")