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).
8th Grade Math - Transformations Lesson