Consider the function f (x) = 3x and the function g, which is shown below. G (x) = F (x) - 2=3^x-2 How will the graph of g differ from the graph of f? A. The graph of g is the graph of f shifted 2 units up. B. The graph of g is the graph of f shifted 2 units to the right. C. The graph of g is the graph of f shifted 2 units down. D. The graph of g is the graph of f shifted 2 units to the left. Reset Next

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Question

Alyssa Newman

Mathematics

5 June, 05:30

Consider the function f (x) = 3x and the function g, which is shown below. G (x) = F (x) - 2=3^x-2 How will the graph of g differ from the graph of f? A. The graph of g is the graph of f shifted 2 units up. B. The graph of g is the graph of f shifted 2 units to the right. C. The graph of g is the graph of f shifted 2 units down. D. The graph of g is the graph of f shifted 2 units to the left. Reset Next

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Answers (1)

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Adrienne Pugh · Answer 1

C. The graph of g is the graph of f shifted 2 units down

Step-by-step explanation:

The transformation ...

g (x) = f (x - h) + k

represents a translation h units right and k units up.

You have h=0 and k=-2, so the graph is shifted 0 units right and 2 units the opposite of up.

The graph of g is the graph of f shifted 2 units down.