Question

Which of the following representations shows a translation? A (x,y) → (x + 3, y - 4) B (x,y) → (-x,y) C (x,y) = (x, y) D (x,y) → (y, -x)

Answer 1

By definition, a Translation is a transformation in which the figure is moved without changing the shape or the size.

In trasnformations, the original figure is called "Pre-Image" and the figure obtained after the transformation is called "Image".

In order to move a figure to the right, for example, you need to add "n" units to the x-coordinates of its vertices. If you need to translate it 2 units down, you need subtract 2 from the y-coordinate of each vertex of the figure.

Then, since in Translations you add or subtract units to the coordinates of the vertices of the figures, you can identify that the following rule shows a Translation:

`(x,y)\to(x+3,y-4)`

The answer is: Option A.