Question

Can someone explain horizontal translation and how to find it?

Answer 1

all function like to pass thru the origin (0,0)

if we move the function f(x) left or right, we interfere with the origin ... and as such have to modify the x parts so that they zero out back to the origin. that is my thought process.

f(x-a) is equal has been shifted from f(x) but by how much and in which direction?

well, f(0) is what we are after, so x-a = 0 when x=a. it has been shifted by a

Answer 2

pfft, had some competing thoughts that bleed thru on that ... but i think its still readable