Shift sign $y=\frac x{|x|}$ function horizontally

Question

I know how to shift linear and quadratic functions but is there a way to shift a sign or $$y=\frac x{|x|}$$ function?

Answer 1

Hint:

To shift any function $f$ horizontally, all you need to do is to replace $x$ by $x\pm c$ where c is the distance of the shift and the sign $\pm$ indicates the direction of the shift.