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Each statement describes a transformation of the graph of y = ln x. Which statement correctly describes the graph of y = ln(x - 7) + 3? A. It is the graph of y = ln x translated 3 units up and 7 units to the left. B. It is the graph of y = ln x translated 7 units down and 3 units to the right. C. It is the graph of y = ln x translated 7 units up and 3 units to the right. D. It is the graph of y = ln x translated 3 units up and 7 units to the right.

Question

Each statement describes a transformation of the graph of y = ln x. Which statement correctly describes the graph of y = ln(x - 7) + 3? A. It is the graph of y = ln x translated 3 units up and 7 units to the left. B. It is the graph of y = ln x translated 7 units down and 3 units to the right. C. It is the graph of y = ln x translated 7 units up and 3 units to the right. D. It is the graph of y = ln x translated 3 units up and 7 units to the right.

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Solution

The correct statement that describes the graph of y = ln(x - 7) + 3 is option C. It is the graph of y = ln x translated 7 units up and 3 units to the right.

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