Question

Draw the image of triangle ABC under the translation (x, y) → (х, y + 3).

Answer 1

In Mathematics, a translation is a type of transformation that shifts every point of a geometric object in the same direction on the cartesian coordinate, as well as for the same distance.

In this exercise, we would apply a translation 3 units up to triangle ABC (ΔABC), in order to determine the coordinates of its image as follows;

(x, y) → (x, y + 3)

Coordinates A (-4, -3) → (-4, -3 + 3) = A' (-4, 0).

Coordinates B (0, 0) → (0, 0 + 3) = B' (0, 3).

Coordinates C (-6, 2) → (-6, 2 + 3) = C' (-6, 5).

Complete Question;

Draw the image of triangle ABC under the translation (x, y) → (х, y + 3).