gives a TransformationFunction that represents translation of points by a vector v.


TranslationTransform
gives a TransformationFunction that represents translation of points by a vector v.
Details

- TranslationTransform gives a TransformationFunction that can be applied to vectors.
- TranslationTransform[{x1,…,xn}] gives a transformation for vectors with dimension n.
- TranslationTransform[v][r] for vectors v and r is equivalent to r+v.
Examples
open all close allBasic Examples (1)
Scope (3)
Properties & Relations (4)
The translation transformation is an isometric transform, i.e. preserves distances:
Translating by and then by
is the same as translating by
:
The inverse of translating by is the same as translating by
:
For geometric transformations, use Translate directly:
Related Guides
History
Text
Wolfram Research (2007), TranslationTransform, Wolfram Language function, https://reference.wolfram.com/language/ref/TranslationTransform.html.
CMS
Wolfram Language. 2007. "TranslationTransform." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/TranslationTransform.html.
APA
Wolfram Language. (2007). TranslationTransform. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/TranslationTransform.html
BibTeX
@misc{reference.wolfram_2025_translationtransform, author="Wolfram Research", title="{TranslationTransform}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/TranslationTransform.html}", note=[Accessed: 08-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_translationtransform, organization={Wolfram Research}, title={TranslationTransform}, year={2007}, url={https://reference.wolfram.com/language/ref/TranslationTransform.html}, note=[Accessed: 08-August-2025]}