The logarithmic function y = log₁₂(x + 13) - 14 is shifted 13 units to the left and 14 units down from the parent function.
The function y = log₁₂(x + 13) - 14 is shifted from the parent function log₁₂(x). To determine the shifts, we identify the transformations applied to the parent function.
The term (x + 13) inside the logarithm indicates a horizontal shift. Since x is increased by 13, it means the graph is shifted 13 units to the left. Similarly, the -14 outside the logarithm means the graph is shifted 14 units down.
the correct transformation of the graph represented by the function is Option B: It is shifted 13 units to the left and 14 units down.