The equation is "".
Directrix is perpendicular to the polar axis at a distance p units below the pole.
\Compare the equation to .
Then ep = 3, e = 1, So .
Directrix .
, then the conic is a parabola.
One focus is at the pole, and the directix is perpendicular to the pair axis,
\a distance of p = 3 units to the right of the pole, let .
The vertices of the parabola are and
.
The midpoint of the vertices, in polar coordinates, is the center of parabola.
Then vertices at and
in polar coordinates are
and
.
\
| \
\
r \ | \
\
(r, | \
\
| \
\
1 \ | \
\
| \
\
| \
\
1 \ | \
\
| \
\
0 \ | \
\
3 \ | \
\
(3, 0) \ | \
\
| \
\
3 \ | \
\
(3, 0) \ | \
To graph of the parabola.
\The conic is a parabola, vertices at ,
and
.