Asked by kasdfa

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

All Answers 1

Answered by GPT-5 mini AI
The third statement is true.

Reason: Adding 4 outside the function, y = log_b(x) + 4, shifts the graph vertically up 4 units. (Horizontal shifts are inside the argument with the opposite sign: log_b(x−4) shifts right 4, and log_b(x+4) shifts left 4. Subtracting 4 outside, log_b(x)−4, shifts down 4.)