The eccentricity of a conic is .

Vertices of the conic is at .

Since the eccentricity is , the conic is parabola.

The polar equation of the conic with the directrix is .

The directrix of the conic is a horizontal line  .

Find the value of :

The value of and the polar form of a point on the conic to determine the value of .

The vertex has polar coordinates .

and

Susbtitute in .

.

Susbtitute in .

.

The standard form of polar equation is  : .

Substitute , and .

Substitute and in .

.

Therefore, the polar equation of the conic is and directrix is .

Graph:

(1) Draw the coordinate plane.

(2) Graph the polar equation .

Graph :

The polar equation is .

Graph :

.