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

pooja somani
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Oliver Tušla
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  • One can in general shift $y=f(x)$. See for instance this note: https://www.math.utah.edu/~giessing/notes/ch3.6b.pdf and also https://math.berkeley.edu/~qiuyi/m1af14/EER4_Notes.pdf –  Nov 22 '18 at 17:37
  • Do you mean something different from simply replacing every $x$ in the expression by $x-c$ for some $c$ being the distance you want to shift the graph? – hmakholm left over Monica Nov 22 '18 at 17:41
  • No, I didn't mean anything else. Thank you for the resources. – Oliver Tušla Nov 22 '18 at 18:45

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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.

Varazda
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