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How can I combine all these plots into one one graph?

f[a_, b_, c_] := (a*x^2 + b*x + c)/3;
tup1 := RandomInteger[5, {15, 3}];
Plot[f[##], {x, 0, 10}] & @@@ tup1
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    $\begingroup$ Plot[f @@@ tup1 // Evaluate, {x, 0, 10}] $\endgroup$ – cvgmt Feb 8 at 7:34
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If the plots are already created, you can combine them using Show and post-process to change line colors:

tup = tup1;
plots = Plot[f[##], {x, 0, 10}] & @@@ tup;

Show[plots]

enter image description here

colors = ColorData[97] /@ Range[Length @ tup];

Legended[Show[plots, ImageSize -> Large] /. _?ColorQ :> 
   Last[colors = RotateLeft[colors]], 
  LineLegend[colors, tup]]

enter image description here

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