Final answer:
To find the reflection of a point across the y-axis, change the sign of the x-coordinate. The reflection of (-3, -3) across the y-axis is (3, -3). Without an explicit axis provided, the y-axis is commonly assumed for horizontal reflections in standard geometry problems.
Step-by-step explanation:
The question concerns finding the reflection of a point across an axis of symmetry, which is a common concept in geometry, a branch of Mathematics. The student has been given the point (-3, -3) and is asked to find its reflection. The axis of symmetry is not explicitly mentioned, but it is typically the y-axis or the x-axis in standard problems.
To find the reflection of a point across the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same. This means the reflection of (-3, -3) across the y-axis would be (3, -3). On the other hand, to find the reflection across the x-axis, you would keep the x-coordinate the same and change the sign of the y-coordinate, making the reflection of (-3, -3) be (-3, 3).
Without explicit direction on which axis to use, we typically assume reflection over the y-axis for horizontal symmetry. Thus, the reflection of the point (-3, -3) across the assumed y-axis of symmetry would be (3, -3).