I'm investigating the transformations of three functions I have selected:

f(x)=x^2

f(x)=abs(x)

f(x)=cos(x)

By using different values of

**a**, I want to see what happens when I apply the following to each of the three functions:

a * f(x)

f(a*x)

I want to use different values of

**a**so I can come to some definite conclusions - I'll use positive, negative, small and large values of

**a**.

I do not understand what I need to do to apply these transformations. In transformation number 2 [f(a*x)], what is the f outside of the brackets and I assume the

**a**is multiplying the rest of the function?

Any guidance will be much appreciated. I hope this post made sense.

Many thanks!