$\"\"$

The curve is $\"\"$ .

$\"\"$

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

$\"\"$

$\"\"$ .

Find the horizontal asymptote by evaluating $\"\"$ .

$\"\"$

$\"\"$ .

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

$\"\"$

Graph the conchoid $\"\"$ .

$\"\"$

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

Graph of the conchoid $\"\"$ .

$\"\"$