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!