math, i’m confused.

Question

describe the transformation of f(x)=x^2 represented by g(x)=(x-4)^2

Answer 1

both are upward opening parabolas

f(x) has vertex or minimum point at the origin (0,0)

g(x) has the vertex or minimum point at (4,0)

g(x) is f(x) shifted to the right , shifted horizontally by 4