eli5: Why does y=f(x+2) move it two units to the left (not right)?

Question

This is also the case where y=f(2x) where it dilates by a factor of 1/2. Why are they seemingly the opposite of what intuition tells me?

Edit:
Thanks guys 🙂 got it.

In: 0

Answer 1

Lets look at an example for a line x=y. So f(0)=0, f(1)=1, … So now lets do f(x+2), if f(0)=0 then if x+2=0 the line will cross the x axis at that x+2 point. So x=-2 therfore you push y=0 as well as ever point to the left.