Question

Given `f(x+1)`, how do you describe the transformation?

Answer 1

Advance operator.

Explanation:

The transformation `f(x)->f(x+h)` can be understood as an advance. The graphics of `g_2(x)=f(x+h)` is advanced for an amount `h` concerning `g_1(x)=f(x)` As can be seen in the attached plot, the red plot occours before the blue plot. When the blue plot is at `x=0` with value `sin(0)` the red plot has the value associated to `sin(1)`