Final answer:
The reflection of a point across an axis of symmetry depends on the orientation of the axis. For the point (3,3), the reflection over a vertical axis (y-axis) would be (-3,3), and over a horizontal axis (x-axis), it would be (3,-3).
Step-by-step explanation:
To determine the reflection of a point across an axis of symmetry, we must understand the concept of mirror images concerning axial symmetry. The axis of symmetry behaves like a mirror, reflecting points to an identical position on the other side of the axis. When a point (3,3) is reflected over an axis of symmetry, its position relative to the axis remains the same but is mirrored.
If the axis of symmetry is vertical (y-axis), then the x-value of the point changes to its negative if to the right of the y-axis or to its positive if to the left, while the y-value remains the same. If the axis of symmetry is horizontal (x-axis), the y-value will change sign while the x-value remains unchanged. The given question does not specify which axis is the axis of symmetry. Therefore, I will provide reflections for both possible axes.
Vertical Axis of Symmetry (y-axis):
The reflection of the point (3,3) over the y-axis is (-3,3).
Horizontal Axis of Symmetry (x-axis):
The reflection of the point (3,3) over the x-axis is (3,-3).