Translation Calculator
Translate a point by a displacement vector (dx, dy) and return the image coordinates.
Inputs
Image X
7.0000
Image Y
1.0000
Step by step
Apply translation
(2 + 5, 3 + -2)
= (7, 1)
How it works
Translation shifts every point by the same displacement vector (dx, dy). The image point is (x+dx, y+dy). Translation preserves shape, size, and orientation.
Formula
Translation
(x', y') = (x + dx, y + dy)
- x,y
- Original point
- dx,dy
- Displacement vector
Frequently Asked Questions
Does translation change the shape?
No — translation is a rigid motion. It moves all points the same distance in the same direction without rotating or resizing.
How do I reverse a translation?
Apply the opposite vector: (−dx, −dy).