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 .
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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 .
The conic is parabola.
\The directrix is .
Plot the vertices are and
.