The Multiplier Effect
Explore the effect of a multiplier on any parent function.
Click in the box to make the new function visible.
Change the parent function by typing it into the input bar.
Make sure you type the new function in as f(x)=

What functions did you try?
What effect does the k have on f(x) in k*f(x)? Did this hold true for all the functions that you tried?
What effect does the k have on f(x) in f(k*x)? Did this hold true for all the functions that you tried?
k*f(x) produces a vertical dilation while f(k*x) produces a horizontal dilation. Did you find this to be true in your exploration? If so, explain what this means to you. If not, explain what you discovered.