What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the function
g(x) = (x – 4)2 + 2?

So we know that this equation is in vertex form: y=a(x-h)+k where (h,k) is the vertex. The (-h) part is responsible for the horizontal translation of the graph. if h is (-), the graph moves h units left. If h is (+), the graph moves h units right. In this case, the graph moves 4 units to the right compared to the parent graph because h is positive.