(adsbygoogle = window.adsbygoogle || []).push({}); Help please - I can't determine this function.

Okay I will try to make this as straightforward and clear as possible. My calculus background is rusty because it's been awhile, so this may seem trivial.

I am trying to find a function that can best fit the shape of the red curve shown in the attached figure. I need to be able to choose the y-intercept and increase/decrease the maximum point value marked as "1" on both the y and x-axis location. I also need to be able to increase/decrease the length/x-value of the end portion of the curve marked as "2."

I have so far tried playing with quadratic functions, a sine wave (from 0 to π), and a double exponential. No luck so far. I would greatly appreciate any advice on this seemingly simple problem.

Thank you in advance!

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# Can you determine this function?

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