switching axes in Plot?

[John.F...@csiro.au]

When using Plot to plot F[x] as a function of x, Mathematica automatically =
assigns the independent variable x to the horizontal axis and the dependent=
variable F[x] to the horizontal. I often want to switch this around so th=
at the independent variable runs on the vertical axis and the dependent on =
the horizontal. I feel sure there ought to be a simple way to tell Plot to=
make this change but I have never found it and instead have resorted to co=
nvoluted approaches. Can anyone tell me what the simple trick is, if it ex=
ists?
Thanks
John Finnigan

[dh]

Hi John,

the cheapest solution is simply to rotate the picture:

Rotate[Plot[Sin[x], {x, 0, 10}], Pi/2]

However, that is probably not good enough as the labels face the wrong

way. A better way is to use ParametricPlot:

ParametricPlot[{Sin[x], x}, {x, 0, 10}]

hope this helps, Daniel

[Jean-Marc Gulliet]

One of the most straightforward and less error prone way of switching
the x- and y-axis must be by using ParametricPlot as illustrated below.

f[x_] = x^2 Sin[x];
Plot[f[x], {x, -Pi, 2 Pi}]
ParametricPlot[{f[x], x}, {x, -Pi, 2 Pi}]

Regards,
--Jean-Marc

[David Park]

John,

Use ParametricPlot instead of Plot. Like this:

ParametricPlot[{Sin[x], x}, {x, 0, 2 \[Pi]}]

David Park
djm...@comcast.net
http://home.comcast.net/~djmpark/

From: John.F...@csiro.au [mailto:John.F...@csiro.au]

When using Plot to plot F[x] as a function of x, Mathematica automatically =
assigns the independent variable x to the horizontal axis and the dependent=
variable F[x] to the horizontal. I often want to switch this around so th=
at the independent variable runs on the vertical axis and the dependent on =
the horizontal. I feel sure there ought to be a simple way to tell Plot to=
make this change but I have never found it and instead have resorted to co=
nvoluted approaches. Can anyone tell me what the simple trick is, if it ex=
ists?

Thanks
John Finnigan

[Jens-Peer Kuska]

Hi,

Show[Plot[{Cos[x], Sin[x], Sin[x]/x}, {x, 0, 8 Pi}] /.
Line[pnts_] :> Line[Reverse /@ pnts], PlotRange -> All]

Regards
Jens

[Alexei Boulbitch]

John, try this simple way:

f[x_] := Sin[2 x];
ParametricPlot[{f[x], x}, {x, 0, 2}]

try also this one:

ListLinePlot[Table[{Sin[2 x], x}, {x, 0, 2, 0.01}]]

Have success, Alexei

When using Plot to plot F[x] as a function of x, Mathematica automatically =
assigns the independent variable x to the horizontal axis and the dependent=
variable F[x] to the horizontal. I often want to switch this around so th=
at the independent variable runs on the vertical axis and the dependent on =
the horizontal. I feel sure there ought to be a simple way to tell Plot to=
make this change but I have never found it and instead have resorted to co=
nvoluted approaches. Can anyone tell me what the simple trick is, if it ex=
ists?
Thanks
John Finnigan

--
Alexei Boulbitch, Dr., Habil.
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[Bob Hanlon]

ParametricPlot[{Sin[x], x}, {x, 0, 4 Pi},
AspectRatio -> 1/GoldenRatio]

ParametricPlot[{Tan[x], x}, {x, 0, 2 Pi},
AspectRatio -> 1/GoldenRatio,
Exclusions -> {Pi/2, 3 Pi/2}]

Bob Hanlon

---- John.F...@csiro.au wrote:

=============

[windle...@gmail.com]

On Wednesday, February 11, 2009 5:20:58 AM UTC-5, (unknown) wrote:
> When using Plot to plot F[x] as a function of x, Mathematica automatically

> assigns the independent variable x to the horizontal axis and the dependent variable F[x] to the horizontal. I often want to switch this around so that the independent variable runs on the vertical axis and the dependent on the horizontal. I feel sure there ought to be a simple way to tell Plot to make this change but I have never found it and instead have resorted to convoluted approaches. Can anyone tell me what the simple trick is, if it exists?
> Thanks
> John Finnigan

Hi,

I just found this looking for the answer myself. Then it hit me: try changing the order that you define the variables within the plot operation.

So as an example, given:

ContourPlot[
Evaluate[Re[
Product[x + I y - (a + I b), {a, -2, 2}, {b, -2, 2}]]], {x, -3,
3}, {y, -3, 3}]

To swap axes, just define y and then x -- like this:

ContourPlot[
Evaluate[Re[
Product[x + I y - (a + I b), {a, -2, 2}, {b, -2, 2}]]], {y, -3,
3}, {x, -3, 3}]

[Bob Hanlon]

ParametricPlot is also useful

f[x_] = x^2 - 5 x + 6;

Plot[f[x], {x, 1, 4}]

ParametricPlot[{f[x], x}, {x, 1, 4}]


Bob Hanlon

On Thu, Jul 19, 2012 at 3:51 AM, <windle...@gmail.com> wrote:
> On Wednesday, February 11, 2009 5:20:58 AM UTC-5, (unknown) wrote:

>> When using Plot to plot F[x] as a function of x, Mathematica automatically

>> assigns the independent variable x to the horizontal axis and the dependent variable F[x] to the horizontal. I often want to switch this around so that the independent variable runs on the vertical axis and the dependenton the horizontal. I feel sure there ought to be a simple way to tell Plot to make this change but I have never found it and instead have resorted to convoluted approaches. Can anyone tell me what the simple trick is, if it exists?

[danil...@gmail.com]

Thank you