Meaning of transformations of functions:
The transformation of function is a function that transform one function or graph to the other function.
There are four types of transformations:
- Reflection transformation- flips the object across a line by keeping it size or shape constant.
- Rotation transformation - rotates or turns the curve around an axis without changing the size and shape of an object.
- Translation- slides or moves the object in the space by keeping its size and orientation the same.
- Dilation transformation- enlarges or shortens the object by keeping its shape or orientation the same. This is known as resizing.
Thus, the transformation of function is a function that transform one function or graph to the other function.