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

The transformation applied to convert the graph of $f(x)$ into $g(x)$ is the reflection of the graph across the y-axis, represented mathematically as $g(x) = f(|x|)$. This transformation indicates that for all negative values of $x$, the outputs from the function $f$ mirror those from positive $x$ values.