I find a text on the web about curves and it ask for an admissible change of variables that goes from (0,2) to (-$\infty$, 0), I think about log(-x) or some function like that, but I really don't get it, any hints on this one?
2026-03-29 17:27:39.1774805259
How we can find an admissible change of variables that goes from (0,2) to $(-\infty,0)$?
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$$\tan\left[\frac{\pi}{2}\left(\frac{x}{2} - 1\right)\right].$$