I'm trying to create a function that will generate a graph similar to this awesome paint gif:
This is my attempt thus far: f(x)=-0.0040*(x+200)*(x-200)
I can't figure out how to get my graph to "turn" and go to 0 like in the picture. I've tried different types of absolute values and I guess I could make two separate functions. If it is possible, I really would love to be able to express it in a single function though. Note that the exact values are not that important, I can tweak them later. The shape of the graph is really what I'm looking for (disregarding my artistery with uneven lines).
Best Answer
Two possible guesses.
Probability Density: $\large y=ce^{-\left(\frac{x-k}{h}\right)^2}$
I don't know what a name for this is, but another similar graph is $\displaystyle y=\frac{c}{1+(h(x-k))^2}$.