Case of explicit functions:
ParametricPlot3D(Evaluate(Table({ww, zz, Exp(-(ww - 0.5 zz)^2/zz^2)},
{zz, {0.2, 0.4, 0.6, 0.8, 1.0, 1.2}})), {ww, -2, 2},
PlotStyle -> {{Black, Thick}, {Blue, Thick}, {Red, Thick}, {Yellow, Thick},
{Green, Thick}, {Magenta, Thick}})
Case of interpolating functions:
mmax = 4;
tm = Table(m, {m, 1, mmax});
tap = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9};
tfp = Table((n - 1)^m, {m, 1, mmax}, {n, 1, 10});
tif = Table({tap((n)), tfp((m, n))}, {m, 1, Length(tfp)}, {n, 1, Length(tap)})
tg = Table(Interpolation(tif((m))), {m, 1, mmax});
ParametricPlot3D(
Evaluate(Table({x, zz, tg((zz))(x)}, {zz, tm})), {x, 0, 1},
PlotStyle -> {{Blue, Thick}, {Red, Thick}, {Green, Thick}, {Magenta, Thick}})
