Which graph represents the function p(x) = |x – 1|?

Answer: The correct option is fourth option.Explanation:The given function is,p(x)=|x-1|The graph of the given function is a transformed form of f(x)=|x|.The parent modulus function is,P(x)=|x+a|+bIf a>0, then graph shifts left by a units and if a<0, then  graph shifts right by a units.If b>0, then graph shifts upward by b units and if b<0, then  graph shifts downward by b units.Since the value of a is -1 and value of b is 0, therefore the graph of f(x)=|x| shifts right side by 1 unit.Hence the fourth option is correct.Other way to choose the correct option is find the x intercept and y intercept.Put x=0P(x)=|0-1|= -1So y-intercept is (0,-1)Put p(x)=00=|x-1|x=1So, the x-intercept is (1,0).From x and y-intercepts, we can say that the fourth option is correct.