answer:
g(x) = f(x+6)
x = 6
Explanation:
given:
g(x) = f(x+k)
if value of k > 1 then the graph shifts k units to the left.
if value of k < 1 then the graph shifts k units to the right.
from the graph, it is clear that the function g(x) has moved 6 units (-4 to -10) to the left of f(x). this shows that the value of k > 1 and it is = 6 units
thus the transformation rule can be given as:
g(x) = f(x+6)
k = 6