Answer:
D.) P’(12, 6), Q’(8, 7), R’(4, 4), and S’(7, 1)
Step-by-step explanation:
Reflection over the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y) . . . . . reflection over the y-axis
Translation 2 units down, subtracts 2 from the y-coordinate:
(x, y) ⇒ (x, y -2) . . . . . translation 2 units down
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The combined transformation is ...
(x, y) ⇒ (-x, y -2) . . . . . reflection over y-axis and translation 2 down
For point P, the image coordinates are ...
P(-12, 8) ⇒ P'(-(-12), 8 -2) = P'(12, 6) . . . . matches choice D
