Change steepness of an inverse exponential curve...

    Aug 24 2013 | 5:41 pm
    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!

    • Aug 24 2013 | 9:36 pm
      oops, just saw which subforum we're in.
    • Aug 25 2013 | 2:01 am
      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.
    • Aug 25 2013 | 8:25 am
      Perfect! Thank you.