scale and translate parabola to reference parabola

I have multiple histograms whose distribution is parabolic.I use least squares to do a quadratic fit .The questions is how do I scale and translate a set of parabola to a golden curve (also parabolic) .Below figure explains what i want to do.In the left I have some histograms which are parabolic.I want to match all the histograms to a reference histogram which is also parabolic.