Get Ready!
Sign In
Be sure to think about the horizontal transformations before you think about any vertical transformations. Work from the inside
to the outside.
A horizontal translation 4 units to the right and a vertical translation 2 units up.
We are given the following absolute value equation.
y=|x-4|+2
This is a transformation of the parent function y=|x|. We can look at each of the translations individually and work our way from the inside
to the outside.
We will define each transformation, starting with the one which is closest to x and end with the farthest from x.
First we have a horizontal translation 4 units to the right. As a result, |x| becomes |x-4|.
Then we have a vertical translation 2 units up, |x-4|⇒|x-4|+2.
Therefore the parent function was horizontally translated 4 units to the right and vertically translated 2 units up.