Using transformations and the zeros of the polynomial function f(x)=x(x-4)(x+2) how could you determine the zeros of y=f(2x)??

Thanks

f(x) = x(x-4)(x+2)
f(2x) = 2x(2x-4)(2x+2)

If f(2x)=0, then (2x=0) or (2x-4 = 0) or (2x+2 = 0),
so x=0 or x=2 or x=-1.