Answer:
[tex]g(x)=|3x|+4[/tex]
Step-by-step explanation:
Let the transformed function be [tex]g(x)[/tex].
Given:
The parent function given is:
[tex]f(x)=|3x|[/tex]
Now, the above function is translated up by 4 units.
As per the rules of transformations, if a graph of a function is translated vertically up by 'C' units, then the rule for the transformation is given as:
[tex]f(x)\rightarrow f(x)+C[/tex]
So, 4 units will be added to the given function to get the transformed function. Therefore,
[tex]g(x)=f(x)+4\\g(x)=|3x|+4[/tex]
Hence, the transformed function of [tex]f(x)=|3x|[/tex] is given as [tex]g(x)=|3x|+4[/tex].
