Hello, Gracy!
You're expected to know the general form for polar conics.
. . . where = eccentricity
And these rules: .
Given the polar equation: .
Find the directrix, eccentricity and sketch the conic.
We have: .
Since , we have a parabola with its focus is at the pole (origin).
Plot a few points: .
The graph looks like this: Code:
2
      +      

1
***
*  *
*  *
*+*

*  *

The focus is 1 unit from the vertex.
. . Hence, the directrix is also 1 unit from the vertex.
It is the horizontal line:
. . Converting to polars: .