The graph of $f(x) = \frac{3}{x-1} + 2$ is shown, The graph of $f(x)$ was transformed to get the graph of $g(x)$ as shown - HSC - SSCE Mathematics Extension 1 - Question 2 - 2022 - Paper 1

To determine the transformation from the graph of $f(x)$ to $g(x)$, we need to analyze the reflected nature across the y-axis visible in the second graph. The original function, $f(x)$, was transformed to reflect the positive and negative portions of the function across the y-axis, which is indicated by the absolute value function.

Thus, the transformation applied is:

$g(x) = f(|x|)$