$\"\"$

The equation is $\"\"$ .

$\"\"$

$\"\"$ .

Compare this polar equation with standard form $\"\"$ .

Where $\"\"$ and $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$

Directrix is perpendicular to the polar axis at a distance 2 units left of the pole.

Conic is a ellipse since $\"\"$ .

The directrix is $\"\"$ .

$\"\"$

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

\ \

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

\ $\"\"$ \	\ $\"\"$ \	\ $\"\"$ \	\ $\"\"$ \	\ $\"\"$ \
\ $\"\"$ \	\ $\"\"$ \	\ $\"\"$ \	\ $\"\"$ \	\ $\"\"$ \

The vertices are at $\"\"$ and $\"\"$ .

$\"\"$

(1) Graph the polar co-ordinates.

(2) Plot the points.

(3) Connect the points to a smooth curve.

(4) Draw the directrix line $\"\"$ .

$\"graph$

$\"\"$

The conic is a ellipse, vertices at $\"\"$ and $\"\"$ .

$\"graph$