Mathematics
Easy

Question

# A translation function is defined by the rule (x, y) → (x + 2, y - 5).Which choice will be the image of the point (3, 6) under this translation?

Hint:

## The correct answer is: (5, 1)

### Now as we said that in translation, a point or a figure can move up, down, right, left, or anywhere else in the coordinate system. Any point can be located using a Cartesian coordinate system or coordinate system, and that point can be displayed as an ordered pair (x, y) known as Coordinates.We have a point (3, 6). The translation function is (x, y) → (x + 2, y - 5).We have to shift the points from the given coordinates to (2, -5).Let's consider (3, 6), we have to shift 2 units to right and 5 units down.(3, 6) -------  (3+2, 6-5)(3, 6) -------  (5, 1)So the algebraic representation will be: (5, 1)

In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. The algebraic representation will be: (5, 1).