Triangle EFG has vertices E(−3, 4), F(−5,−1), and G(1, 1). The triangle is translated so that the coordinates of the image are E′(−1, 0), F′(−3,−5), and G′(3,−3). Which rule was used to translate the image?
Answer
A
cap t sub 2 comma negative 4 times open paren x comma y close paren
B
cap t sub negative 2 comma negative 4 times open paren x comma y close paren
C
cap t sub negative 4 comma negative 4 times open paren x comma y close paren
D
cap t sub 4 comma negative 4 times open paren x comma y close paren
Explanation
Compare a vertex with its image: E(−3, 4) moves to E′(−1, 0), so the x-coordinate increases by 2 and the y-coordinate decreases by 4. The translation rule is (x, y) → (x + 2, y − 4), or T₂,₋₄. This matches choice A.
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