Question

Write the equations after translating the graph of y=|2x|−1:
one unit up

Answer 1

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|