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a[x_,y_]:=x^3+y^2;
b[x_,y_]:=x^2+y^3;

I want to plot a[x,y] in x axis and b[x,y] in y axis for different values of x and y say, we fix y=1 and x goes from 1 to 10.

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1
  • $\begingroup$ a = #1^3 + #2^2&; shorter : ) $\endgroup$ 2 days ago

2 Answers 2

5
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Try ParametricPlot

a[x_, y_] := x^3 + y^2;
b[x_, y_] := x^2 + y^3;
ParametricPlot[{a[x, 1], b[x, 1]}, {x, 1, 10}, AspectRatio -> 1]

enter image description here

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  • $\begingroup$ Haha almost at the same time, I think I beat you by a few seconds! (+1) $\endgroup$
    – rhermans
    2 days ago
  • 1
    $\begingroup$ Congratulation ;-) $\endgroup$ 2 days ago
5
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You can use With to give a local value for y and ParametricPlot for the plot.

a[x_,y_]:=x^3+y^2;
b[x_,y_]:=x^2+y^3;

With[
   {y=1},
   ParametricPlot[
      { a[x,y], b[x,y] }
      , {x, 1, 10}
      , PlotTheme -> "Scientific"
      , AspectRatio -> 1
   ]
]

enter image description here

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