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

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

Answer in two short sentences.

1 answer

The relationship between y = f(x) and y = kf(x) is called a vertical scaling transformation. If k > 1, the graph stretches vertically; if 0 < k < 1, it compresses vertically, and if k is negative, it also reflects the graph across the x-axis.