Answer:
A"(1, -2)
Step-by-step explanation:
In addition to the translation transformation given, you are asked to transform the figure further by rotating it 180° about the origin. The translation for that is ...
(x, y) ⇒ (-x, -y)
Then the composition of the two transformations is ...
(x, y) ⇒ (-(x -5), -(y -1)) = (-x +5, -y +1)
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Applied to the given point(s), we have ...
(x, y) ⇒ (-x +5, -y +1)
A(4, 3) ⇒ (-4 +5, -3 +1) = A"(1, -2)
B(1, 1) ⇒ (-1 +5, -1 +1) = B"(4, 0)
The coordinates of A" after translation and rotation are (1, -2).
