Which statement is true? The graph of y=log (x-4) is the graph of y=log (x) translated 4 units down. The graph of y=log (x) - 4 is the graph of y = log (x) translated 4 units left. The graph of y=log (x) + 4 is the graph of y=4 (x) translated 4 units up. The graph of y=log (x + 4) is the graph of y=log (x) translated 4 units right.

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Mathematics

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1 August, 20:24

Which statement is true? The graph of y=log (x-4) is the graph of y=log (x) translated 4 units down. The graph of y=log (x) - 4 is the graph of y = log (x) translated 4 units left. The graph of y=log (x) + 4 is the graph of y=4 (x) translated 4 units up. The graph of y=log (x + 4) is the graph of y=log (x) translated 4 units right.

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Answers (2)

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Ireland Sullivan · Answer 1

The f (x) = x + b, where b is the increment in the y axis.

So, the third statement is true

The graph of y=log (x) + 4 is the graph of y=4 (x) translated 4 units up.

Lizeth Levy · Answer 2

When you subtract four units to x the graph is translated to the right, then the first option is incorrect

When you subtract four units to log (x) the graph is translated 4 units down, then the second option is incorrect.

When you add four units to log (x) the graph is translated 4 units up, then the third option is correct.

When you add four units to x the graph is translated to the left, then the fourth option is incorrect.

Answer: The third statement is true: The graph of y=log (x) + 4 is the graph of y=log (x) translated 4 units up.