Question

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

T_{-8,4}(x,y) means translate by the vector ⟨-8, 4⟩, so subtract 8 from x and add 4 to y:

(x, y) → (x − 8, y + 4).