Question

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A triangle on a coordinate plane is translated according to the rule T–8, 4(x, y). Which is another way to write this rule?

(x, y) → (x + 4, y – 8)
(x, y) → (x – 4, y – 8)
(x, y) → (x – 8, y + 4)
(x, y) → (x + 8, y – 4)

Answer 1

Translation T_{–8,4}(x,y) adds the vector (−8, 4) to (x,y), so
(x,y) → (x + (−8), y + 4) = (x − 8, y + 4).

Answer: (x, y) → (x − 8, y + 4)