Step 1:

The polar equation $\"image\"$ .

Graph the above polar equation using some polar coordinates.

Construct a table for different values of $\"\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Graph:

Draw the polar coordinate plane.

Plot the polar coordinates found in the table.

Connect the points with smooth curve.

$\"\"$

Step 2:

The polar equation $\"image\"$ .

To identify the type of conic, rewrite the equation in the form $\"image\"$ .

where $\"image\"$ is the eccentricity and $\"image\"$ is the distance between the focus(pole) and the directrix.

$\"image\"$

Compare with $\"image\"$

$\"image\"$

Since $\"image\"$ , the equation represents a parabola.

Solution:

$\"image\"$ represents a parabola.

Eccentricity $\"image\"$ .