$\"\"$ \ \

\

The polar equation of the conic is $\"\"$ . \ \

\

Substitute $\"\"$ . \ \

\

$\"\"$ . \ \

\

(a)

\

\

\

Graph:

\

\

Graph the function $\"\"$ for different values of $\"\"$ . \ \

\

$\"\"$ \ \

\

Observe the graph : \ \

\

The graph of the function is parabola for $\"\"$ . \ \

\

The function of the parabols is concave down when $\"\"$ .

\

The function of the parabols is concave up when $\"\"$ .

\

The value of the $\"\"$ is incraese the size of the parabola is also increases.

\

$\"\"$

\

(b) The polar equation of the conic is $\"\"$ . \ \

\

Substitute $\"\"$ . \ \

\

$\"\"$ . \ \

\

Graph: \ \

\

Graph the function $\"\"$ for different values of $\"\"$ . \ \

\

$\"\"$ \ \

\

Observe the graph :

\

The graph of the conic is ellipse when $\"\"$ .

\

The graph of the conic is circle when $\"\"$ .

\

The graph of the conic is hyperbola when $\"\"$ .

\

$\"\"$ \ \

\

(a) Graph of the function $\"\"$ for different values of $\"\"$ . \ \

\

$\"\"$ \ \

\

Observe the graph: \ \

\

The graph of the function is parabola for $\"\"$ . \ \

\

The function of the parabols is concave down when $\"\"$ . \ \

\

The function of the parabols is concave up when $\"\"$ . \ \

\

The value of the $\"\"$ is incraese the size of the parabola is also increases. \ \

\

(b) Graph of the function $\"\"$ for different values of $\"\"$ . \ \

\

$\"\"$ \ \

\

Observe the graph: \ \

\

The graph of the conic is ellipse when $\"\"$ . \ \

\

The graph of the conic is circle when $\"\"$ . \ \

\

The graph of the conic is hyperbola when $\"\"$ .