1. The problem involves understanding the transformation of a point on a figure in the coordinate plane. 2. We are given an original point $(3, 5)$ and its image after transformation $(3, -5)$. 3. This transformation changes the $y$-coordinate from $5$ to $-5$ while keeping the $x$-coordinate the same. 4. The formula for reflecting a point across the $x$-axis is: $$ (x, y) \to (x, -y) $$ 5. Applying this to the original point: $$ (3, 5) \to (3, -5) $$ 6. This confirms the transformation is a reflection across the $x$-axis. 7. The parallelogram in the bottom-left quadrant with vertices at approximately $(-6, -3)$, $(-4, -3)$, $(-5, -5)$, and $(-7, -5)$ is consistent with this reflection if the original figure was above the $x$-axis. 8. Therefore, the transformation is a reflection across the $x$-axis, flipping the $y$-values while keeping $x$ unchanged. Final answer: The transformation is a reflection across the $x$-axis.