Answer:
[tex]y=\left | x \right |+3[/tex]
Step-by-step explanation:
Here we are given with the parent function as
[tex]y=\left | x \right |[/tex]
as we are given that the point (1,1) is translated to (1,4)
Hence x remains the same but new y coordinate is 4
Hence
Y = 4
Y = 1+3
Y= y + 3
[tex]Y = \left | x \right |+3[/tex]
Hence the equation of new function is
[tex]Y = \left | x \right |+3[/tex]
Please refer to the graph attached with this.