1. The problem asks for the coordinates of point $Z(0, 2)$ after it is reflected over the x-axis. 2. Reflection over the x-axis changes the $y$-coordinate of a point to its opposite, while the $x$-coordinate remains the same. 3. The formula for reflection over the x-axis is: $$ (x, y) \to (x, -y) $$ 4. Applying this to point $Z(0, 2)$: $$ (0, 2) \to (0, -2) $$ 5. Therefore, the coordinates of the reflected point $Z'$ are $(0, -2)$. This means the point is flipped vertically across the x-axis, moving from 2 units above to 2 units below the x-axis.