Answer:
k= 6
Step-by-step explanation:
From the graph of f(x) , the vertex is at (4,1)
In the graph of g(x), the vertex is at (-2,1)
From the vertex point (4,1) the graph of g(x) is shifted 6 units to the left to reach the point (-2,1)
x is 4,
g(x)= f(x+k)
g(-2) = f(4+k)
4-(-2)= 6
So k= 6
