For y = f(x) to go to y = f(x-k), the graph of f(x) shifts to the right by k if k>0, and it shifts to the left by k if k<0.
*A trick I use to remember this is, if the equation is (x-k) it will move to the right by k because it will become possitive. And if the the equation is (x+k) it will move to the left by k. It will become negative. So since the the graph is horizontal, the points will only move left to right.*
Example: y = |x| y = |x-4|
Vertical Transaltions
For y = f(x) to go to y-k = f(x), the graph of f(x) shifts up by k if k>0, and it shifts down by k if k<0.
*A trick I use to remember this is, if the equation is y-3 = f(x) it with move up by 3 because it will become possitive. And if the equation is y+4 = f(x) it will move down because it will become possitive. It would be the same for y = f(x)+3 it would move up 3, and for y = f(x)-5 it would would move down by 5.*
Example: y = x^2 +2
No comments:
Post a Comment