Equation for a "bell curve"?

tinlv7

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Is it not as simple as I thought? We're studying poynomial functions in precalc... do I not have enough math experience to be able to know this already?
How do you write (and transform) the equation for a bell curve? (I'm talking about that thing that looks like 1/4 of a sine wave, but not quite. Domain: (-?,?), Range: (0,X)U(X,0))
 
Look here

http://mathworld.wolfram.com/NormalDistribution.html
 
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