Maple example with implicit functions in 3-d and spacecurves together.with(plots):implicitplot3d({x^2+y^2-z^2=0, y=x^2}, x=-3..3,y=-3..3,z=-3..3, grid=[25,25,25]);spacecurve([sqrt(y), y, sqrt(y^2+y)],y=-3..3,color=red,thickness=3);# Plotting them together:A:=implicitplot3d({x^2+y^2-z^2=0, y=x^2}, x=-3..3,y=-3..3,z=-3..3, grid=[25,25,25],style=wireframe):B:=spacecurve([sqrt(y), y, sqrt(y^2+y)],y=-3..3,color=red,thickness=3):
display3d(A,B);