plotting - How do I change axes scale?

I am plotting

f[x_] := 2*x + 1
Plot[f[x], {x, -10, 10}]

BUT I want to scale my axes differently. By default it is 1:2 , meaning 1 unit on $y$ axis is equal to 2 units on $x$ axis. I want to manually specify it. I tried to use AspectRatio, but this only changes my graph, and not the axes... What can I do?

Answer

I could interpret this question a couple of different ways. One is that you would like to scale the proportion of your plot. One can use ScalingFunctions (though undocumented for Plot) to specify the intended relationship, which will be correctly handled with AspectRatio -> Automatic. For example:

Table[
 Plot[3 Sin[2 x], {x, 0, 7}, ScalingFunctions -> {scale, Identity}, 
  AspectRatio -> Automatic, PlotRange -> All],
 {scale, {{2 # &, #/2 &}, Identity, {#/2 &, 2 # &}}}

] // GraphicsRow

enter image description here

Note that unlike setting the proportion using a specific value for AspectRatio I did not have to manually calculate this value; it was computed automatically.

Another interpretation is that you wish to relabel one of the plot axes, easily done with a coefficient in the right place:

GraphicsRow[{
  Plot[3 Sin[2 x], {x, 0, 7}],
  Plot[(3 Sin[2 x])/2, {x, 0, 7}],
  Plot[3 Sin[2 (x/2)], {x, 0, 14}]
}]

enter image description here

These two behaviors may be combined to produce most any scaling you desire.

Comments

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plotting - Plot 4D data with color as 4th dimension

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plotting - Mathematica: 3D plot based on combined 2D graphs

I have several sigmoidal fits to 3 different datasets, with mean fit predictions plus the 95% confidence limits (not symmetrical around the mean) and the actual data. I would now like to show these different 2D plots projected in 3D as in but then using proper perspective. In the link here they give some solutions to combine the plots using isometric perspective, but I would like to use proper 3 point perspective. Any thoughts? Also any way to show the mean points per time point for each series plus or minus the standard error on the mean would be cool too, either using points+vertical bars, or using spheres plus tubes. Below are some test data and the fit function I am using. Note that I am working on a logit(proportion) scale and that the final vertical scale is Log10(percentage). (* some test data *) data = Table[Null, {i, 4}]; data[[1]] = {{1, -5.8}, {2, -5.4}, {3, -0.8}, {4, -0.2}, {5, 4.6}, {1, -6.4}, {2, -5.6}, {3, -0.7}, {4, 0.04}, {5, 1.0}, {1, -6.8}, {2, -4.7}, {3, -1.

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