Question

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.

Answer 1

Answer: D. The graph of G(x) is the graph of F(x) shifted 4 units to the left and 2 units up.

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Explanation:

Going from f(x) to f(x+4) shifts the xy axis 4 units to the right, making it seem like the graph of f(x) is shifting 4 units to the left

Going from f(x) to f(x)+2 shifts the graph of f(x) 2 units up

Overall, going from f(x) to f(x+4)+2 will shift f(x) 4 units to the left and 2 units up