Suppose that G (x) = F (x) + 5. 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 5 units up. B The graph of G (X) is the graph of F (X) shifted 5 units to the left. C The graph of G (x) is the graph of F (x) shifted 5 units to the right.

D. The graph of G (x) is the graph of F (x) shifted 5 units down.

Question

Bobbie

Mathematics

Today, 03:19

Suppose that G (x) = F (x) + 5. 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 5 units up. B The graph of G (X) is the graph of F (X) shifted 5 units to the left. C The graph of G (x) is the graph of F (x) shifted 5 units to the right.

D. The graph of G (x) is the graph of F (x) shifted 5 units down.

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Answers (1)

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Dominique Armstrong · Answer 1

The graph of G (x) is the graph of F (x) shifted 5 units up.

Step-by-step explanation:

If a function is given by y = f (x), then another function g (x) = f (x) + a will have the same graph on the coordinate plane as the function f (x) but it will be sifted a units to the up.

In our case the original function is F (x) and another function obtained from F (x) as G (x) = F (x) + 5.

So, the graph of G (x) is the graph of F (x) shifted 5 units up. (Answer)