Which of the following equations is the translation 2 units down of the graph of y = |x |?

y = |x - 2|

y = |x + 2|

y = |x | - 2

y = |x | + 2

Y=|x|-2

this can be easily seen by testing f (0) for all functions:

f1 (0) = |0-2|=2

f2 (0) = |x+2|=2

f3 (0) = |x|-2=-2

f4 (0) = |x|+2=2

f (0) = |x|=0, because you want to translate it 2 units down - 2 is the expected value