Hard specific question--Descartes folium...

How could I draw in parametric style the folium of descartes complete?I mean after I plot the curve it only traces half of the graph..what happened to the rest for example the part that has asymptotic value near infinit?

(I assume you mean the parametric graph: x = 3aT/(1+T^3), y = 3aT^2/(1+T^3) , from the cartesian: X^3 + Y^3 = 3AXY )

these points are true for the equation when x and y reaches +/- infinity, but can no be obtained through paramtric graphing, since the parametric function will leave x and y going towards 0 as T reaches infinite

the function for your asymptotes would be: y = -a -x

you would need a conics program to draw the whole graph correctly (the one on calc doesn't have this function)

hey thanks! I understand!
Where could I find that marvellous program?

Thnaks very much...! =)

here is exactly what i want to graph....it has a bucle lets say a loop that is not draw...
x(t)=t(1+t^3)
y(t)=t^2(1+t^3)

or for example Diocles Cisoide
a(t)=((t^2+1)/(2at^3/(1+t^2))

thanks!