Answer:
[tex]y =|x| - 4[/tex] is translated 3 units up
Step-by-step explanation:
Given
[tex]y =|x| - 4[/tex]
Required
The changes that makes it to: [tex]y =|x| - 1[/tex]
By observation, we can see that [tex]y =|x| - 4[/tex] was translated up to [tex]y =|x| - 1[/tex]
Next, is to calculate the units of translation (c)
Represent the old function as:
[tex]y=\left|x\right|-4 + c[/tex]
Equate y and y
[tex]\left|x\right|-4 + c =\left|x\right|-1[/tex]
Cancel out |x|
[tex]-4 + c=-1[/tex]
Solve for c
[tex]c = 4 - 1[/tex]
[tex]c = 3[/tex]
