Horizontal translation 4 units right.
Horizontal translation 4 units left.
Vertical translation 4 units up.
Vertical translation 4 units down.
What is horizontal translation?
Horizontal translations refer to movements of a graph of a function horizontally along the x-axis by changing the x values.
What is vertical translation?
Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis.
According to the given question.
We have a parent function
[tex]f(x) = |x|[/tex]
Now,
If we compare the graph of parent function and [tex]f(x) = |x-4|[/tex], we see that there is a horizontal translation 4 units right.
Similarly,
If we compare the graph of parent function and [tex]f(x) = |x+4|[/tex], we see that there is a horizontal translation 4 units left.
If we compare the graph of parent function and [tex]f(x) = |x|+4[/tex], we see that there is a vertical translation 4 units up.
And, if we compare the graph of the parent function and [tex]f(x) = |x|-4[/tex], we see that there is a vertical translation 4 units down.
Find out more information about vertical and horizontal translation here:
https://brainly.com/question/26187593
#SPJ2
