DefinitionFunction transformations refer to the changes that are done on the graph of a function due to changes in its equation. Transformations involve translating, reflecting, stretching, and compressing the graph of the function. In doing so, they will shuffle the graph sideways, reshape it or scale it while maintaining its inherent properties. These transformations are well known in algebra, geometry, and calculus, first to see and analyze what functions do, second to model with these transformations real problems arising in nature and last but not least, to solve many situations in which they are needed. Example: f(x)=x2→x−2→2→3 g(x)=(x−2)2+3, translating 2 to the right, 3 up respectively (vertical translation) shifted Parabola.
