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enter image description here

what must be the equation to get this type of a curve??

the curve must increase from -infinity to 0 and then decrease again to +infinity.

Thank you

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    (There used to be a tag "algebraic-curves")2012-08-18

2 Answers 2

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You can try multiplying a $\sin$ wave with a Gaussian, e.g: $\sin(5x)e^{-x^2/2}$ enter image description here

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    Related: [Gabor filter](https://en.wikipedia.org/wiki/Gabor_filter), [Morlet wavelet](https://en.wikipedia.org/wiki/Morlet_wavelet).2012-08-18
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y=sin(x)/x has this property.
sin(x)/x function has a special name: sinc(x)
It is an important function. For example it is the Fourier transform of the rectangular pulse which plays a major role in signals and systems analysis.

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    Still, the graph of the function you propose looks nothing like the OP's picture...2012-08-18