Which statement correctly describes the relationship between the graph of f (x) and the graph of g (x) = f (x) + 3?

A. The graph of g (x) is the graph of f (x) translated 3 units right .

B. The graph of g (x) is the graph of f (x) translated 3 units up.

C. The graph of g (x) is the graph of f (x) translated 3 units left .

D. The graph of g (x) is the graph of f (x) translated 3 units down .

Question

Mathematics

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14 July, 15:35

Which statement correctly describes the relationship between the graph of f (x) and the graph of g (x) = f (x) + 3?

A. The graph of g (x) is the graph of f (x) translated 3 units right .

B. The graph of g (x) is the graph of f (x) translated 3 units up.

C. The graph of g (x) is the graph of f (x) translated 3 units left .

D. The graph of g (x) is the graph of f (x) translated 3 units down .

+4

Answers (1)

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Pixie Stick · Answer 1

Its best to use the base equation they give you.

Y=-a (f (x+h)) + k

a and k, the outer ones, are for the vertical part. Being multiplication as a stretch and division as a compression. While the k is translated left or right depending on its sign.

The same is for within the parentheses but always the opposite. Positive is negative. Stretch is compression and so on.

The answer is A.