Investigation of all four function transformations
So far we have looked at all four function transformations in isolation. Now let's put it all together.
We've been using a for all our transformations so far, but we're going to introduce b, c, and d as well now.
The general form of these functions is: a(f(b(x+c)+d)
To break that down:
af(x)
f(bx)
f(x+c)
f(x)+d
Set yourself a challenge to move a function in a particular way and try to achieve it. For instance.
Left 5 spaces
Up 3 spaces
Stretched vertically by a factor of 2
Squashed horizontally by a factor of 3.
Keep setting yourself new challenges and trying to achieve them until you are confident you can transform functions how you would like to do it.