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Answer:
f(x, y) = (-x-3, y-3)
Explanation:
Reflection across the y-axis is ...
r(x, y) = (-x, y)
Translation left and down 3 units each is ...
t(x, y) = (x -3, y -3)
Then the composition of reflection then translation is ...
f(x, y) = t(r(x,y)) = t(-x, y)
f(x, y) = (-x-3, y-3)