The polar equation is .

Rewrite the equation as :

Compare the equation with .

p = distance between the pole and the directix = 0.666.

So, the graph of the function represents a hyperbola.

So, the graph of the conic is  horizontal directix above the pole.

The polar function is .

Make the table of values to find ordered pairs that satisfy the function.

Choose random values for and find the corresponding values for r.

1.Draw a polar co-ordinate plane.

2.Plot the points.

3.Draw a smooth curve through those points. 

Observe the graph, the conic represents a hyperbola.

The conic is a hyperbola.