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

Question

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

Answer in two short sentences

Answer 1

The relationship between \( y = f(x) \) and \( y = kf(x) \) represents a vertical scaling transformation, where \( k \) is a scaling factor. On a graph, if \( k > 1 \), the function \( y = kf(x) \) stretches the graph vertically, while if \( 0 < k < 1 \), it compresses the graph vertically.