Final answer:
The transformation is a reflection across the x-axis, where the y-coordinate changes sign while the x-coordinate remains the same.
Step-by-step explanation:
The transformation of the given points from (7, 8) to (7, -8) represents a reflection across the x-axis. In this transformation, the x-coordinate remains the same while the y-coordinate is multiplied by -1, effectively 'flipping' the point over the x-axis. In mathematical terms, the pair (x, y) becomes (x, -y) after this reflection.
A reflection is a transformation that flips a figure over a line or a plane. In this case, the y-coordinate of the point changes from 8 to -8, indicating a reflection across the x-axis.