Help with Complex quadratic forms 1. The problem statement, all variables and given/known data The question is to plot the julia set of the logistic map f [x] = 4.4x(1-x). I know how to plot the graph of z^2 + c for any given c using mathematica and i'm pretty sure its possible to convert any logistic map to the form z^2 + c but i was wondering if someone could help me with this conversion, how to and the theory with it? 2. Relevant equations Logistic Map: r x (1 - x) Desired Form: z^2 +c 3. The attempt at a solution Translation 1 c = [( r / 2) - ( ( r ^ 2 ) / 4) ] gives answer 2.89 c = [ 1 - ( ( r -1)^ 2 / 2 ) ] gives answer -2.64 So far i have found two different answers 2.89 and -2.64 using two different translation i have found on the internet and was wondering if someone could help me.