The graph of a linear function (a line) can be moved around the coordinate grid. This is called a transformation. There are three basic transformations: translation (sliding the line around), reflection (flipping the line), and scaling (stretching the line). You can move (transform) the line vertically or horizontally.
Graphing a Linear Function Using Transformations. Another option for graphing is to use transformations of the identity function f(x)=x f ( x ) = x . A function may be transformed by a shift up, down, left, or right. A function may also be transformed using a reflection, stretch, or compression.