/sci/ - Science & Math

Can someone explain horizontal graph shifting in simple logic? So [math]f(x+h)[/math] for example.

My own understanding behind it is that the reason it "shifts" to the left (when we add+h) is because in the original function x would get paired to some value f(x), but in this new function, x gets paired with f(x+h), ie. it's getting paired with the f(x) value of some x that would be ahead of it on the x axis in the original function, effectively shifting it to the left. Is there some other way to look at it?