Use the functions below to complete Parts I and II. f(x) = x^2 g(x) = (x – 3)^2 + 2 Part I: The graph of f(x) is shown below. g(x) has the same shape as f(x), but is shifted as described by the equation g(x) = (x – 3)^2 + 2. Draw and label the graph of g(x) on the same grid as f(x). Part II: Describe how the graph of g(x) relates to the graph of its parent function, f(x).
HINT: Think about how f(x) was shifted to get g(x).