What type of transformation takes the graph of f(x)=|x| to the graph of g(x)=|4+x|?
horizontal translation of 4 units right
vertical translation of 4 units up
horizontal translation of 4 units left
vertical translation of 4 units down
horizontal translation of 4 units right
vertical translation of 4 units up
horizontal translation of 4 units left
vertical translation of 4 units down