How to shift plot

Question

I want to draw several plots in the same tikzpicture (I am not sure if there is other ways to do it) using plot function in tikz. The code is:
documentclass[preview,border=2pt,2pt]{standalone}

usepackage{tikz}
usetikzlibrary{shapes,backgrounds}
usetikzlibrary{calc}
usetikzlibrary{decorations.shapes}
usetikzlibrary{arrows.meta}
tikzset{decorate sep/.style 2 args=
    {decorate,decoration={shape backgrounds,shape=circle,shape size=#1,shape sep=#2}}}
tikzset{>={Latex[width=1mm,length=3mm]}}

begin{document}    
begin{tikzpicture}
    tikzstyle{line} = [arrows=<->,line width=0.6pt]
    tikzstyle{line1} = [line width=.1pt]

defr{0.5pt} %define the radius of spot
    defax{3.3} %define the length of x-axis
    defay{4} %define the length of y-axis
    defy{3} %define the height of T=1
    defu{4} %define the origin of the second plot
    defv{8} %define the origin of the third plot

tikzset{
        declare function={
            normpdf(x,m,s,r)=r*exp(-((x-m)/s)^4);
        }
    }

draw[line] (0,ay) coordinate node [below left] {$T$} -- (0,0) coordinate node[below] {$0$} -- (ax, 0) coordinate node [below left] {$x$};
    draw[scale=1, domain=0:2, smooth, variable=x] plot ({x}, {normpdf(x,0,1.3,y)});

node[left] at (0,y) {$1$};
    node[above] at (ax/2,y) {(i) $ I_t=[0,alpha(t)]$};
    draw[line1] (0, 2.1) -- (1,2.1) -- (1,0);
    node[below] at (1,0) {$alpha(t)$};
 
    draw[line] (u,ay) coordinate node [below left] {$T$} -- (u,0) coordinate node[below] {$0$} -- (ax+u, 0) coordinate node [below left] {$x$};
    draw[scale=1, domain=-2:0, smooth, variable=x] plot ({x}, {normpdf(x,0,1.3,y)});
     
     node[left] at (u,y) {$1$};
     node[above] at (ax/2+u,y) {(ii) $ I_t=[alpha(t),c]$};
     draw[line1] (u, 2.1) -- (u+1,2.1) -- (u+1,0);
     node[below] at (u+1,0) {$alpha(t)$};
    
end{tikzpicture}
end{document}

The problem is how to shift the plot by the second draw to another origin specified by u ( "draw[scale=1, domain=-2:0, smooth, variable=x] plot ({x}, {normpdf(x,0,1.3,y)})"). Thanks.

gernot · Accepted Answer

You can design the second plot with the same coordinates as the first one and shift it by the vector (x,y) using
begin{shift}[shift={(x,y)}]
...
end{shift}

This allows you to reuse identical parts like shown below.

documentclass[border=2pt]{standalone}
usepackage{tikz}
usetikzlibrary{arrows.meta}
begin{document}

begin{tikzpicture}[
  line/.style={arrows=<->,line width=0.6pt},
  line1/.style={line width=.1pt},
  declare function={normpdf(x,m,s,r)=r*exp(-((x-m)/s)^4);},
  >={Latex[width=1mm,length=3mm]}
  ]

defr{0.5pt} %define the radius of spot
  defax{3.3} %define the length of x-axis
  defay{4} %define the length of y-axis
  defy{3} %define the height of T=1
  defu{4} %define the origin of the second plot
  defv{8} %define the origin of the third plot

newcommandmyplot[1]{%
    draw[line] (0,ay) node [below left] {$T$} -- (0,0) node[below] {$0$} -- (ax, 0) node [below left] {$x$};
    draw[scale=1, domain=0:2, smooth, variable=x] plot ({x}, {normpdf(x,0,1.3,y)});
    draw[line1] (0, 2.1) -| (1,0) node[below] {$alpha(t)$};
    node[left] at (0,y) {$1$};
    node[above] at (ax/2,y) {#1};
  }

myplot{(i) $I_t=[0,alpha(t)]$}
  begin{scope}[shift={(u,0)}]
    myplot{(ii) $I_t=[alpha(t),c]$}
  end{scope}    
end{tikzpicture}

end{document}

How to shift plot

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