What is the equation for a parabola where if $x$ is positive then $y$ is negative and if $x$ is negative $y$ is positive?
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1I infer from your conditions that (0,0) is on the (continuous) curve. You are not dealing with a parabola, but an odd order curve. – Phil Freedenberg Jul 06 '22 at 13:12
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1(0,0) is on the continuous curve. Do you know an equation for a curve like this would be? – STL34 Jul 06 '22 at 13:19
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Could you give a concrete example of such a curve and what you've tried with it? That would make helping you much easier. – eyeballfrog Jul 06 '22 at 13:24
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Think of the curve $y$ = $x$^2 but when $x$ is positive $y$ is negative and vice versa. – STL34 Jul 06 '22 at 13:36
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Do you have an equation for the S curve when it is not rotated? – David K Jul 06 '22 at 15:56
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1If I understand you correctly, then I'm pretty sure you're looking for $\frac{-x^3}{|x|}$ Here's a picture of the graph! You might also be looking for -x^3 – Sejr Jul 06 '22 at 15:37
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2@Sejr If a question is unclear, please do not answer it. Instead, please use the comments to seek clarification from the asker. – Xander Henderson Jul 06 '22 at 22:09
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What is unclear about this question? And why was the answer deleted? The answer answered my question. – STL34 Jul 08 '22 at 02:12