Change steepness of an inverse exponential curve...

Yeter's icon

Hi all,

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.

Could somebody please help me with this?

Thanks a lot!

Yeter

Wetterberg's icon

oops, just saw which subforum we're in.

Christopher Dobrian's icon

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.

Yeter's icon

Perfect! Thank you.