The vertex form of a function is g(x) = (x – 3)2 + 9. How does the graph of g(x) compare to the graph of the function f(x) = x2?

The vertex form is g(x) = (x − h)² + k, which shifts the graph of x² right by h units and up by k units. Here, h = 3 and k = 9, so g(x) is shifted 3 units right and 9 units up. This matches choice B.

AI-written and checked against the verified answer.