Translations, step by step

A translation slides a point without turning or flipping it, so both coordinates change on their own and nothing else does.

The question
(−2, 0)4 right and 4 up ()

(−2, 0) 4 right and 4 up

(−2, 0)
across=2
up=4
(−2, 0)(2, 4)
  1. Start where the point is: (−2, 0). The move is 4 right and 4 up, and the question is only where those two numbers end up.
  2. Sliding changes each coordinate on its own. Across, it moves 4 right: −2 + 4 = 2. Up, it moves 4 up: 0 + 4 = 4.
  3. So it lands on (2, 4).

How it works.

  1. 01

    Start where the point is: (−2, 0). The move is 4 right and 4 up, and the question is only where those two numbers end up.

  2. 02

    Sliding changes each coordinate on its own. Across, it moves 4 right: −2 + 4 = 2. Up, it moves 4 up: 0 + 4 = 4.

  3. 03

    So it lands on (2, 4).