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Suppose that G(x) = F(x + 1) - 3. 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 1 unit to the right and 3 units up.
B. The graph of G(x) is the graph of F(x) shifted 1 unit to the left and 3 units down.
C. The graph of G(x) is the graph of F(x) shifted 1 unit to the left and 3 units up.
D. The graph of G(x) is the graph of F(x) shifted 1 unit to the right and 3 units down

Respuesta :

gmany
f(x + q): left q units
f(x - q): right q units
f(x) + q: up q units
f(x) - q: down q nits

G(x) = F(x + 1) - 3
f(x + 1): left 1 unit
f(x) - 3: down 3 units

Answer:
B. The graph of G(x) is the graph of F(x) shifted 1 unit to the left and 3 units down.

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