# Manipulate Plot with Controller being difference of two variables

I'm not sure if this is possible at all or whether manipulate is the best option to plot this, but currently I'm using the following code to plot Function Func vs. t values for different x values.

Manipulate[a = -0.5;
b = 0.2;
c = 1;
Func[t_] := a/t^2*(t - x)^2 + b/t*(t - x) + c;
Plot[Func[t], {t, 1, 100}], {x, 1, 100, 1}]


What I'm really interested in is to plot Func vs. t-x (EDIT: t-x = t minus x being a new variable for plotting purpose only.) and then for different values of x. I can't find a way to make this plot. I would appreciate any suggestion.

Perhaps

Manipulate[ParametricPlot[{t-x, a/t^2*(t - x)^2 + b/t*(t - x) + c}, {t, 1, 100},
AspectRatio -> 1, Frame -> True, PlotRange -> {{-100, 100}, {-5, 20}},
FrameLabel -> {"t-x", "Func"}],
{x, 1, 100, 1}, Delimiter, {a, 0, 10}, {b, 0, 10}, {c, 0, 10}] or,

Manipulate[Plot[a/(w + x)^2*(w)^2 + b/(w + x)*(w) + c, {w, -100,  100},
AspectRatio -> 1, Frame -> True, PlotRange -> {{-100, 100}, {-5, 100}},
FrameLabel -> {"t-x", "Func"}],
{x, 1, 100, 1}, Delimiter, {a, 0, 10}, {b, 0, 10}, {c, 0, 10}] • thanks. This is exactly what I was looking for. – Yasmin Nov 9 '14 at 0:14
• @Yasmin, my pleasure. Welcome to mma.se.. – kglr Nov 9 '14 at 0:15