Stretching a number line

Question

I'm using tikzpicture to do things, and I want to create a number line that is stretched. Kinda like the 3b1b group theory video. I know it's already pretty easy to do this, but I also want to get an automated macro like this: newcommand{stretch}[2]{ ??? } I've already tried, but to no avail. (Prepare for dumb coding.) newcommand{stretch}[2]{ begin{center} begin{tikzpicture} [mathbf(#1times #2)] draw[<->] (#1-2,0)--(#2+2,0); draw[<->] (#1-2,-3)--(#2+2,-3); foreach x in {numbernumexpr-#1-1relax,...,0,...numbernumexpr#1+1relax} draw[shift={(x,0)},color=black] (0pt,0.2pt) -- (0pt,-0.2pt) node[below] {footnotesize $x$}; foreach x in {numbernumexpr-#1*#2relax,...,numbernumexpr-#2relax,0,#2...numbernumexpr#1*#2relax} draw[shift={(x,-3)},color=black] (0pt,0.2pt) -- (0pt,-0.2pt) node[below] {footnotesize $x$}; end{tikzpicture} end{center} }

user108724 · Answer

Like this? ( I've used 2 times grater and you can change it to 3 or any in draw[shift={(x*2,2)},color=black])

documentclass{standalone}
usepackage{tikz}

begin{document}
begin{tikzpicture}

draw[<->] (-7,2)--(7,2);
foreach x in {-3,-2,...,3}
draw[shift={(x*2,2)},color=black] (0pt,3pt) -- (0pt,-3pt) node[below] 
{$x$};

draw[->, thick,green] (0,3)--(0,2.2);

draw[<->] (-7,0)--(7,0);
foreach x in {-6,-5,...,6}
draw[shift={(x,0)},color=black] (0pt,3pt) -- (0pt,-3pt) node[below] 
{$x$};
end{tikzpicture}
end{document}

Edit: If you want a macro it should be something like this (but I don't recommend it because you should choose input carefully and the output is a but ugly):

newcommand{mycommand}[1]{ begin{tikzpicture}[scale=.5] draw[<->] (-3*#1-1,2)--(3*#1+1,2); foreach x in {-3,-2,...,3} draw[shift={(x*#1,2)},color=black] (0pt,3pt) -- (0pt,-3pt) node[below] {$x$}; draw[->, thick,green] (0,3)--(0,2.2); draw[<->] (-7,0)--(7,0); foreach x in {-6,-5,...,6} draw[shift={(x,0)},color=black] (0pt,3pt) -- (0pt,-3pt) node[below] {$x$}; end{tikzpicture}}

and use it as mycommand{3}.

Stretching a number line

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