Which of the following correctly identifies the transformation of f(x)=log5(x+7)

Question

from its parent function?(1 point)
Responses

horizontal shift left 7 units
horizontal shift left 7 units

vertical shift down 7 units
vertical shift down 7 units

horizontal shift right 7 units
horizontal shift right 7 units

vertical shift up 7 units

Answer 1

To identify the transformation of the function \( f(x) = \log_5(x + 7) \) from its parent function \( g(x) = \log_5(x) \), we need to analyze the \( (x + 7) \) inside the logarithm.

The transformation \( f(x) = \log_5(x + 7) \) indicates a horizontal shift. Specifically, since the function has \( (x + 7) \), it shifts the graph to the left.

Therefore, the correct response is:

horizontal shift left 7 units