.
(called a cissoid of Diolces) has the line x = 1 as a vertical asymptote.
Show also that the curve lies entirely within the vertical strip
.
Use these facts to help sketch the cissoid.
Solution: We have .
For 
Thus
which shows that the curve has the line x = 1 as a vertical asymptote.
Finally since the x coordinate of the curve is
the curve lies within
the strip 
.
The graph has the following representation for
.
Since the curve lies in the strip
the same curve will occur if we graph in
or any other analogous interval.
by: gm