A triangle on a coordinate plane is translated according to the rule T–3, 5(x, y). Which is another way to write this rule?

Question

(x, y) → (x – 3, y + 5)
(x, y) → (x – 3, y – 5)
(x, y) → (x + 3, y – 5)
(x, y) → (x + 3, y + 5)

Answer 1

The translation rule T–3, 5 indicates that every point (x, y) of the triangle will be moved 3 units to the left (subtracting 3 from the x-coordinate) and 5 units up (adding 5 to the y-coordinate).

So, the transformed coordinates can be expressed as follows:

(x, y) → (x - 3, y + 5)

Thus, the correct answer is:

(x, y) → (x - 3, y + 5).