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

A. What is this type of function transformation called?
make it simple and like a kid wrote it

1 answer

This type of function transformation is called "stretching" or "shrinking." When you change \( y = f(x) \) to \( y = kf(x) \), you're either making the graph taller (if \( k > 1 \), which is called a stretch) or shorter (if \( 0 < k < 1 \), which is called a shrink). If \( k \) is negative, it also flips the graph upside down!