5
AssignmentMultiple Choice

Functions and Transformations

Question 5 • EAP-Algebra Functions and Data Analysis A CR

Given f(x) = log2x, which of the functions below represents g(x) resulting from reflecting the graph of f(x) in the x-axis and shifting left by 2 units?g(x) = log2(–x – 2)g(x) = –log2x – 2g(x) = –log2(x + 2)g(x) = 2 – log2x

Answer
A
g(x) = log2(–x – 2)
B
g(x) = –log2x – 2
C
g(x) = –log2(x + 2)
D
g(x) = 2 – log2x

Explanation

Reflecting f(x) = log₂x across the x-axis changes its output to −log₂x. Shifting that graph 2 units left means replacing x with x + 2, giving g(x) = −log₂(x + 2). This is choice C.

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