Answer:
[tex]y=-|x+1|+1[/tex]
Step-by-step explanation:
Parent function: [tex]y=|x|[/tex]
Reflected in the x-axis: [tex]y=-|x|[/tex]
Translated 1 unit to the left: [tex]y=-|x+1|[/tex]
Translated 1 unit up: [tex]y=-|x+1|+1[/tex]