translation

(noun)

Shift of an entire function in a specific direction.

Related Terms

  • Scaling
  • vertical translation
  • horizontal translation
  • rotation
  • euclidean space
  • reflection
  • vector

(noun)

A shift of the whole function by a specified amount.

Related Terms

  • Scaling
  • vertical translation
  • horizontal translation
  • rotation
  • euclidean space
  • reflection
  • vector

Examples of translation in the following topics:

  • Translations

    • A translation of a function is a shift in one or more directions.
    • To translate a function vertically is to shift the function up or down.
    • In general, a vertical translation is given by the equation:
    • Let's use a basic quadratic function to explore vertical translations.
    • Translating the function up the $y$-axis by two produces the equation:
  • Transformations of Functions

    • The four main types of transformations are translations, reflections, rotations, and scaling.
    • A translation moves every point by a fixed distance in the same direction.
    • One possible translation of $f(x)$ would be $x^3 + 2$.  
    • This would then be read as, "the translation of $f(x)$ by two in the positive y direction".
    • The function $f(x)=x^3$ is translated by two in the positive $y$ direction (up).
  • Symmetry of Functions

    • This type of symmetry is a translation over an axis.
  • Percents

    • To calculate a percentage of another percentage, you convert both percentages to decimals and multiply them, at which point you can translate the decimal result back to a fraction and then a percentage.
  • Linear Mathematical Models

    • One difficulty with mathematical models lies in translating the real world application into an accurate mathematical representation.
Subjects
  • Accounting
  • Algebra
  • Art History
  • Biology
  • Business
  • Calculus
  • Chemistry
  • Communications
  • Economics
  • Finance
  • Management
  • Marketing
  • Microbiology
  • Physics
  • Physiology
  • Political Science
  • Psychology
  • Sociology
  • Statistics
  • U.S. History
  • World History
  • Writing

Except where noted, content and user contributions on this site are licensed under CC BY-SA 4.0 with attribution required.