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
.
