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

Fatty

Mathematics

3 August, 07:00

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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Answers (1)

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Isabelle Schneider · Answer 1

D

Step-by-step explanation:

Given f (x) then f (x + a) is a horizontal translation of f (x)

• If a > 0 then shift of a units left

• If a < 0 then shift of a units right

Given f (x) then f (x) + c is a vertical translation of f (x)

• If c > 0 then shift of c units up

• If c < 0 then shift of c units down

Hence y = ln (x - 7) + 3

Is the graph of y = lnx translated 3 units up and 7 units right → D