Which of the following correctly identifies the transformation of \( f(x)=\log _{5}(x+7) \) from its parent function? (1 point) vertical shift down 7 units horizontal shift left 7 units vertical shift up 7 units horizontal shift right 7 units

The function \( f(x) = \log_5(x + 7) \) represents a horizontal shift of the parent logarithmic function \( \log_5(x) \). In general, for a logarithmic function \( \log_b(x - h) \), the graph is shifted horizontally: - If \( h \) is positive, the shift is to the right. - If \( h \) is negative, the shift is to the left. In this case, \( f(x) = \log_5(x + 7) \) can be rewritten as \( \log_5(x - (-7)) \), indicating a horizontal shift **left** by 7 units. **Answer:** A horizontal shift left 7 units