1. The problem statement, all variables and given/known data A variable point P lies on the curve y2 = x3 and is joined to a fixed point A with coordinate (2,0). Prove that the locus of the mid-point of AP is y2= 2(x-1)3. 2. Relevant equations 3. The attempt at a solution According to what i know, I need to know the parameter for the curve y2 = x3 to prove it, but what is the parameter for the curve y2 = x3? Can anyone guide me?