# Math Help - Transformations of f(x) = 6x - 2

1. ## Transformations of f(x) = 6x - 2

Hi, again!
I am at a complete loss for this. I'm supposed to write an equation for each transformation of f(x) = 6x -2.

Problem is, I don't know how.

14) a vertical compression by a factor of 1/3 and a reflection in the y-axis.

This is one of them and if I know how to do one I can figure out the rest of them. It'd be awesome if you would help me with this~ Please and thank you~

2. ## Re: Transformations of f(x) = 6x - 2

Consider the homothety $h:\mathbb{R}\to \mathbb{R},\;h(x)=6x$ and the translation $t:\mathbb{R}\to \mathbb{R},\;t(x)=x-2$ then, $f=t\circ h$ .