I'm afraid I'm a bit of a math cosumer more than a mathametician & I would be very indepted if someone could show me a formula.

I'm working on a computer-graphics application and I need to fade a value non-linearaly over the range of 0 to 1. Where Y = 0 at 0, and Y = 0 at 1, and Y = 1 somewhere in between. Beyond X= 0 and X= 1 it will be clipped, so I don't care what Y is beyond those values.

The graph in this image is Y = sin(x^K * 3.14156) which has the basic shape I'm after, but would like more control over the slopes on the left and right of the peak, and the placement of the peak. (despite the values on the X axis, the interval of X is 0 - 1.

All the best,

Byron