Which equation is represented by the table? a) y=|x-4| b) y=|x|-4 c) y=|x|+4 d) y=|x+4|

option (a) y=|x-4| is correct.

Step-by-step explanation:

Solve the question by elimination method i.e. put values of x in the given equations and check if equality holds.

(b) if x=2, then y= |2| - 4 = -2 , which is wrong

(c) if x=2, then y = |2| + 4 = 6, which is wrong

(d) if x= 2, then y = |2 + 4| = 6, which is wrong

The equality holds for (a).