Re: is there a way to swap the axes in a Plot?

• To: mathgroup at smc.vnet.net
• Subject: [mg29941] Re: [mg29910] is there a way to swap the axes in a Plot?
• From: Omega Consulting <omega_consulting at yahoo.com>
• Date: Thu, 19 Jul 2001 03:57:05 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```At 01:08 AM 7/18/2001, David E. Burmaster wrote:
>Dear MathGroup,
>
>Is there an easy way to "transpose" the Plot of a graph?
>
>I know the inverse function in closed form (and it is impossible to invert
>in closed form).
>
>In other words, I have an equation in closed form for:
>
>         x =  f^-1[y]
>
>I want to Plot this inverse function, then "transpose" the graph so that
>the final graphic has x on the horizontal axis and y on the vertical axis.
>
>Any ideas?
>
>many thanks,
>David E. Burmaster
>
>deb at Alceon.com

It takes some understanding of graphics primitives, but once you do it's
pretty simple. Just reverse each point in the line.

f=Plot[5 x^2,{x,0,1}]

Show[f/.Line[pts_]:>Line[Map[Reverse,pts]]]

```

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