Answer:
[tex]y=|3x-3|-5[/tex]
Step-by-step explanation:
Notice that we are requested to perform a horizontal shift of on unit to the right. Recall that a horizontal shift of one unit to the right involves the operation of subtracting from the variable "x" one unit.
Therefore, this implies the following mathematical transformation to the variable "x":
[tex]y=|3(x-1)|-5\\y=|3x-3|-5[/tex]
where we simply completed distributive property to get rid of the parenthesis inside the absolute value.
