Question

Write the equation that is the translation of y=|x| left 5 units and up 11 units.

Answer 1

well shifts of the graph of a function left and right occur when a constant is added to x (shift left) or subtracted from 4 (shift right).
shifts up or down on the y-axis occur when a constant is added to the whole equation (shift up) or subtracted (shift down)

Answer 2

so here's an example using abs value
\[y = |x| + 4\]
is a vertical shift up 4 units.
apply the rest

Answer 3

so y+11=|x|+5?