What Is the Translation of a Function

When we take a function and tweak its rule so that its graph is moved to another spot on the axis system, yet remains recognizably the same graph, we are said to be “translating” the function. Usually, translation involves only moving the graph around.

How do you identify a translation?

One way to recognize translations, then, is to compare their points. The \begin{align*}x\end{align*}-coordinates will all change the same way, and the \begin{align*}y\end{align*}-coordinates will all change the same way. To graph a translation, you perform the same change for each point.

What is translation form?

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.