Final answer:
The point (3,-2) undergoes two transformations: a 180-degree reflection across the origin to get (-3,2), and then a reflection across the y-axis to arrive at the final point (3,2).
Step-by-step explanation:
The question describes a two-step transformation of a point in a Cartesian coordinate system.
First, a point (3,-2) is reflected 180 degrees around the origin, which effectively changes the sign of both its x and y coordinates.
The result after this transformation is the point (-3,2)
. Next, the point (-3,2) is reflected across the y-axis, which alters the sign of the x-coordinate but leaves the y-coordinate unchanged, resulting in the final point (3,2).