Suppose that G(x) = F(x + 4) + 2. Which statement best compares the graph of G(x) with the graph of F(x)?A. The graph of G(x) is
the graph of F(x) shifted 4 units to the left and 2 units down.B. The graph of G(x) is the graph of F(x) shifted 4 units to the right and 2 units up.C. The graph of G(x) is the graph of F(x) shifted 4 units to the right and 2 units down.D. The graph of G(x) is the graph of F(x) shifted 4 units to the left and 2 units up.
We can compare g(x) with f(x) by looking at the b and c values of f(x+b)+c. Let's start with the b value. Remember that when horizontally shifting a function, if c is greater than 0, it shifts it to the left. So, in this case, g(x) is shifted 4 units left. Now, let's look at the c value. It is 2, meaning it shifts up in that direction. The correct answer is D, it was shifted 4 units left and 2 units up.
