Answer:
horizontal translation of 4 units left
Explanation:
the graph of f(x)=|x| to the graph of g(x)=|4+x|
In g(x) , 4 is added with x
The rule of transformation is
f(x) -> f(x-a), horizontal translation of 'a' units right
f(x) -> f(x+a), horizontal translation of 'a' units left
f(x) -> f(x)+a, Vertical translation of 'a' units up
f(x) -> f(x)-a, Vertical translation of 'a' units down
When we compare f(x) and g(x), 4 is added with x
f(x) -> f(x+a), horizontal translation of 'a' units left
So its a horizontal translation of 4 units left