Btukfyl

Is there a way to shift the blue curve to the right by a factor of 10 without creating a new data set but rather using the math operations with the blue plot?

Here is the code.

documentclass[a4paper]{article}



usepackage{pgfplots}

usepackage{pgfplotstable}%fitting functions

usepackage{tikz}

usetikzlibrary{tikzmark}

usepackage{pgfplotstable}



%pgfkeys{/pgf/number format/.cd,1000 sep={}}





newcommand{myfont}{fontfamily{cmss}fontseries{ul}selectfont}% used with mathpazo 



pgfdeclareplotmark{fat-}

{%

    pgfsetlinewidth{1}

    pgfpathmoveto{pgfqpoint{pgfplotmarksize}{0pt}}%

    pgfpathlineto{pgfqpoint{-pgfplotmarksize}{0pt}}%

    pgfusepathqstroke

}%



pgfplotsset{/pgfplots/error bars/error bar style={very thick,blue,mark size=2.5},/pgfplots/error bars/error mark={fat-}}

%pgfplotsset{/pgfplots/label shift={0pt}}



pgfplotsset{compat=1.15}

pgfplotsset{label style={font=Large},

            tick label style={font=Large}}



pgfplotsset{error bars/.cd,

    x dir=both, x explicit,

    y dir=both, y explicit,

    }



begin{document}



begin{figure}

centering

begin{tikzpicture}

begin{axis}[

    xmode=log,

    ymode=log,

    enable tick line clipping=false,

    width=9cm,

    height=7cm,

    axis line style=semithick,

    legend style={at={(0.95,0.3)},draw=none},

    legend cell align={right},

    x tick style={black,semithick},

    x label style=

        {at={(ticklabel cs:0.5)},anchor=near ticklabel},

    xlabel={$x$},

    xmin=1,xmax=1000,

    xtick={1,10,100,1000},

    xtick pos=bottom,

    minor x tick num=9,

    xtick align=outside,

    y tick style={black,semithick},

    y label style=

        {at={(ticklabel cs:0.5)},anchor=near ticklabel},

    ylabel={$y$},

    ymin=0.5,ymax=5,

    ytick={0.1,0.5,1,3,5,10},

    ytick pos=left,

    minor y tick num=9,

    ytick align=outside,

]        

    addplot [blue,mark=*,mark options={scale=1.5,blue}]

         table [x=x,y=y] {

         x      y

         2      0.8

         10     1

         50     3

    };



    addplot [red,mark=*,mark options={scale=1.5,red}] table [x=x,y=y] {

        x       y

        20      0.8

        100     1

        500     3

    };



end{axis}

end{tikzpicture}

end{figure}





end{document}