Triangle EFG has vertices cap e times open paren negative 3 comma 4 close paren , cap f of open paren negative 5 comma negative 1 close paren , and cap g of open paren 1 comma 1 close paren The triangle is translated so that the coordinates of the image are cap e prime times open paren negative 1 comma 0 close paren , cap f prime times open paren negative 3 comma negative 5 close paren , and cap g prime times open paren 3 comma negative 3 close paren Which rule was used to translate the image?
Answer
A
cap t sub negative 2 comma negative 4 times open paren x comma y close paren
B
cap t sub negative 4 comma negative 4 times open paren x comma y close paren
C
cap t sub 2 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 moves from (−3, 4) to (−1, 0), so the change is (−1 − (−3), 0 − 4) = (2, −4). The same translation sends F to F′ and G to G′, so the rule is to add 2 to x and subtract 4 from y: choice C, T₂,₋₄(x, y).
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