Final answer:
The transformation that represents a reflection over the y-axis is option B) O(7,8) → O'(-7,8), where only the x-coordinate changes sign from positive to negative, with the y-coordinate remaining unchanged. Option B is correct.
Step-by-step explanation:
The transformation that represents a reflection over the y-axis is one where the x-coordinate of the point changes sign while the y-coordinate remains constant. Specifically, if you have an original point O(x, y), a reflection over the y-axis would transform it into O'(-x, y).
Therefore, to find which transformation corresponds to a reflection over the y-axis from the options given, you need to look for a pair of points where only the x-coordinate sign is flipped.
The correct transformation is option B) O(7,8) → O'(-7,8), because only the x-coordinate changes sign from positive to negative, and the y-coordinate stays the same, indicating a reflection across the y-axis.
A reflection over the y-axis is a transformation that flips a figure over the y-axis. This means that the x-coordinates of the points remain the same, but the y-coordinates change sign.
The correct answer is option B) O(7,8) → O'(-7,8). In this option, the x-coordinate (-7) is the opposite of the original x-coordinate (7), while the y-coordinate (8) remains the same.