Investigating transformations of functions  TOPIC_SOLVED

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Investigating transformations of functions

Postby JackBNE on Wed Jul 24, 2013 10:46 am

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!
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  TOPIC_SOLVED

Postby stapel_eliz on Wed Jul 24, 2013 11:45 am

JackBNE wrote: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! :shock:

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

Functions
Function Notation
Function Transformations / Translations

Have fun! :wink:
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