QuestionThe graph of $y=\ln x$ after reflecting it about the $x$-axis then shifting it 2 units to the left is the graph of (A) $y=-\ln (x+2)$ (B) $y=-\ln (x-2)$ (C) $y=\ln (2-x)$ (D) $y=\ln (-x-2)$ (E) $y=-\ln (2-x)$

Studdy Solution
Identify the resulting equation. After reflecting about the $x$-axis and shifting 2 units to the left, the equation of the graph becomes:
$$y = -\ln (x + 2)$$
This corresponds to option (A).
The graph of the transformed function is $\boxed{y = -\ln (x + 2)}$.