Yeter

I'm trying to change the steepness of an inverse exponential curve, whilst keeping (0,1) and (1,0) as fixed points, by changing the variables in the formula 

. Two examples of correct curves would be a=1, b=~0.618, and a=2, b=1. I need to know how to find b in terms of a, so that I can adjust the curve dynamically with a single input.

I'm trying to change the steepness of an inverse exponential curve, whilst keeping (0,1) and (1,0) as fixed points, by changing the variables in the formula y = (a/(x+b))-b. Two examples of correct curves would be a=1, b=~0.618, and a=2, b=1. I need to know how to find b in terms of a, so that I can adjust the curve dynamically with a single input.

change-steepness-of-an-inverse-exponential-curve

Try a=b*(b+1); the user could enter b, and you could calculate a with that formula. The closer b gets to 0, the more extreme the curve.

Change steepness of an inverse exponential curve...