# Order For Transformations / Translations?

#### PatW86

Hello,

I am struggling with doing transformations and translations of the graphs of functions. Specifically I don't understand the order I am supposed to do them in. I have had to do problems where I am given the graph of a function and then I am asked to select the correct new graph based on the given translations and transformations.

For instance if I have g(x) = -f(x-2) -4

I believe I have to do the following

*A reflection over the x-axis because of -f(x)
*shift right two units because of (x-2)
*shift down 4 units

But what is the correct order in performing these steps? I am not finding any succinct resources online that gives the rules for this.

Thanks!

#### skeeter

MHF Helper
• 1 person

#### HallsofIvy

MHF Helper
Confirming skeeter: If you were told that x= 2 how would you evaluate -f(x- 2)- 4? Before you could do anything else you would have to evaluate f(x- 2) when x= 2. An before you could do that you would have to calculate that if x- 2 then x- 2= 2- 2= 0.

• PatW86 and (deleted member)

Okay Thanks!!