Question

Which rule describes the translation?

T–3, –2(x, y)
T–3, 2(x, y)
T3, –2(x, y)
T3, 2(x, y)

Answer 1

I don't see the figure or coordinates — please tell me the original and translated point(s) or upload the diagram.

Meanwhile, here's how to read and pick the correct rule:

- T_{a,b}(x,y) means (x,y) → (x + a, y + b).
- So the four choices correspond to:
- T–3, –2(x,y): (x,y) → (x − 3, y − 2) (left 3, down 2)
- T–3, 2(x,y): (x,y) → (x − 3, y + 2) (left 3, up 2)
- T3, –2(x,y): (x,y) → (x + 3, y − 2) (right 3, down 2)
- T3, 2(x,y): (x,y) → (x + 3, y + 2) (right 3, up 2)

To choose: compute a = x_new − x_old and b = y_new − y_old; the translation is T_{a,b}. Provide the points and I will pick the correct option.