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

Question

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

Answer 1

When you change a function from \( y = f(x) \) to \( y = f(kx) \), it’s called a "horizontal stretch" or "horizontal compression," depending on the value of \( k \).

• If \( k > 1 \): The graph gets squished closer together (horizontal compression).
• If \( 0 < k < 1 \): The graph gets stretched out (horizontal stretch).

So, you can think of it like pulling or squishing the graph sideways!