## Investigating transformations of functions

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.
JackBNE
Posts: 1
Joined: Wed Jul 24, 2013 10:38 am
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### Investigating transformations of functions

Hi there,

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!

stapel_eliz
Posts: 1628
Joined: Mon Dec 08, 2008 4:22 pm
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In transformation number 2 [f(a*x)], what is the f outside of the brackets....?
That's the "function" designator. They were supposed to have taught you about functions and function notation before assigning homework on it!

To brush up on the basics, please try the following:

Functions
Function Notation
Function Transformations / Translations

Have fun!