Graph the image of U(5, -2) after a reflection over the line y = 3.
A) (5, 8)
B) (5, 1)
C) (1, -2)
D) (5, -8)
Graph the image of U(5, -2) after a reflection over the line y = 3.
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To reflect the point U(5, -2) over the line y = 3, follow these steps:
1. Determine the vertical distance from the point U(5, -2) to the line y = 3. The distance is 3 – (-2) = 5 units.
2. To find the reflected point, move the same distance (5 units) above the line y = 3.
3. So, from y = 3, add the distance: 3 + 5 = 8.
Therefore, the reflected point is U'(5, 8).
The correct answer is A) (5, 8).