$\"\"$

The curve is $\"\"$ is called cissoid of Diocles. \ \

$\"\"$

Divide on each side by $\"\"$ .

$\"\"$ \ \

$\"\"$

Find vertical asymptote by evaluating $\"\"$ .

$\"\"$

$\"\"$ \ \

$\"\"$

Therefore, the curve $\"\"$ has the line $\"\"$ as a vertical asymptote. \ \

$\"\"$

Consider $\"\"$ .

$\"\"$ . \ \

$\"\"$ , $\"\"$ . \ \

Graph is not defined for odd multiples of $\"\"$ , thus graph will stay between the strip $\"\"$ . \ \

Graph the cissoid of Diocles curve.

$\"\"$ \ \

The curve $\"\"$ has the line as a vertical asymptote. \ \

Graph: \ \

$\"\"$ \ \