Answer: Choice D. (7, 12)
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Explanation:
Start at (9,-4). Move 6 units up to arrive at (9,2). This second point is on the horizontal mirror line of y = 2. We move another 6 units to get to (9,8).
Going from (9,-4) to (9,8) represents reflecting over the line y = 2.
Now apply the translation vector <-2,4> which says "shift to the left 2 units and shift up 4 units". That translation vector is the same as writing the rule [tex](x,y) \to (x-2,y+4)[/tex]
Applying that translation to the point (9,8) moves us to (7,12)
Check out the diagram below.
