Consider the relationship between y = f(x) and y = f(x +/= k).

Question

What is this type of function transformation called? What does it Iook like on a graph?

Explain in two short sentences

Answer 1

The transformation between $y=f(x)$ and $y=f(x\pm k)$ is called a horizontal shift. On a graph, this transformation translates the function left or right by $k$ units, depending on the sign: it shifts left for $-k$ and right for $+k$.