f(x + n) - translate n units left
f(x - n) - translate n units right
f(x) + n - translate n units up
f(x) - n - translate n units down
We translate the graph 1 unit up, therefore we have f(x) + 1. Substitute to the equation of function f(x) = |2x| - 1
f(x) + 1 = |2x| - 1 + 1 = |2x| = 2|x|