Why do people study Transformation geometry?

Answer 1

Every process or body has originated from the idea of a parent body or process. We are all in some way a transformation of our parent bodies. In mathematics its objects and shapes and rules and formulas started with some basic parent shape or body or rule etc. Transformations describes how the new curve is transformed from its parent curve. Example the parent curve for y = x2 +6 is the curve y = x2. Transformation geometry is a tool with which change and deviation has become a social expression away from the standard.