Consider the relationship between y = f(x) and y = f (kx).

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

Answer in 2 short sentences.

1 answer

The transformation between \( y = f(x) \) and \( y = f(kx) \) is called a horizontal scaling or compression, depending on the value of \( k \). If \( k > 1 \), the graph is compressed horizontally, making it narrower, while if \( 0 < k < 1 \), the graph is stretched horizontally, making it wider.