Interpolating values between interval, interpolation as per Bezier curve

Question

To implement a 2D animation I am looking for interpolating values between two key frames with the velocity of change defined by a Bezier curve. The problem is Bezier curve is re

Answer 1

I've answered a similar question here. Basically if you know the control points before hand then you can transform the f(t) function into a y(x) function. To not have to do it all by hand you can use services like Wolfram Alpha to help you with the math.