Question
General Form of a Logarithmic Function Quick Check 1 of 51 of 5 Items Question Which of the following correctly identifies the transformation of f(x)=log5(x+7) from its parent function?(1 point) Responses horizontal shift left 7 units horizontal shift left 7 units horizontal shift right 7 units horizontal shift right 7 units vertical shift up 7 units vertical shift up 7 units vertical shift down 7 units
Answers
GPT-4o mini
The function \( f(x) = \log_5(x + 7) \) can be analyzed based on its transformation from the parent function \( f(x) = \log_5(x) \).
In the function \( f(x) = \log_5(x + 7) \), the term \( +7 \) inside the logarithm indicates a horizontal shift. Specifically, it shifts the graph of the parent function to the left by 7 units.
Therefore, the correct identification of the transformation is:
**horizontal shift left 7 units**.
In the function \( f(x) = \log_5(x + 7) \), the term \( +7 \) inside the logarithm indicates a horizontal shift. Specifically, it shifts the graph of the parent function to the left by 7 units.
Therefore, the correct identification of the transformation is:
**horizontal shift left 7 units**.