What is a transformation?
An element(point, line, plane or any other geometric, complex or whatever figure) is said to undergo a transformation when ever one or more of its properties are changed.
A transformation just a rule; its more like a function. It takes an object and returns that object's image.
Transformations are done using: functions, matrices, complex numbers etc.
What we call object can be a point, a line etc. The basic fact about all objects is that object haves properties.
For example: The point
Once you change point
And in which case the object is
Our transformation could be the matrix:
Proof : Because