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

Question

from its parent function?(1 point)
Responses

vertical shift up 7 units
vertical shift up 7 units

horizontal shift left 7 units
horizontal shift left 7 units

horizontal shift right 7 units
horizontal shift right 7 units

vertical shift down 7 units

Answer 1

The function \( f(x) = \log_5(x + 7) \) represents a transformation of the parent function \( f(x) = \log_5(x) \).

In this case, the transformation involves replacing \( x \) with \( x + 7 \). This results in a horizontal shift of the function. Specifically, \( f(x) = \log_5(x + 7) \) indicates that the graph of the parent function \( f(x) = \log_5(x) \) will be shifted left by 7 units.

Therefore, the correct identification of the transformation is:

horizontal shift left 7 units.