A **translation** is a transformation in which a figure's position changes.

Its size, shape, and orientation do not change.

Given a point (*x*, *y*), a translation of **a** units to the right affects the *x*-coordinate in the positive direction.

So, if the point (*x*, *y*) is translated **a** units to the right, the new coordinates are (*x* + **a**, *y*).

Similarly, if the point (*x*, *y*) is translated **a** units to the left, the new coordinates are (*x* - **a**, *y*).

Given a point (*x*, *y*), a translation of **b** units up affects the *y*-coordinate in the positive direction.

So, if the point (*x*, *y*) is translated **b** units up, the new coordinates are (*x*, *y* + **b**).

Similarly, if the point (*x*, *y*) is translated **b** units down, the new coordinates are (*x*, *y* - **b**).

Translating to the right means the *x*-coordinate increases.

Translating down means the *y*-coordinate decreases.

So, if the vertex which was located at (-2, 7) is translated 3 units to the right and 2 units down, then the new coordinates are (-2 + 3, 7 - 2), or (1, 5).