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 \( +k \).