Answer:
g(x) = | x + 2 | + 1
Explanation:
the parent function f(x) = | x | has its vertex at the origin
the translated function has the form
g(x) = | x - h | + k
where (h, k ) are the coordinate of the vertex
the vertex of g(x) is at (- 2, 1 ) , then
g(x) = | x - (- 2) | + 1 , that is
g(x) = | x + 2 | + 1