Question

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

Answer 1

Answer:

Fourth graph represent the  function p(x) = |x – 1|.

Step-by-step explanation:

Given :  Function p(x) = |x – 1|.

To find : Graph .

Solution : We have given that  Function p(x) = |x – 1|.

The graph of the given function is a transformed form of f(x)=|x|.

By the transformation rule f(x-h)  graph would be shifted to right by h units.

Since ,  grapf of function f(x)=|x| became shifted to 1 unit right.

Therefore , fourth graph represent the  function p(x) = |x – 1|.

Answer 2

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|+b

If 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=0

P(x)=|0-1|= -1

So y-intercept is (0,-1)

Put p(x)=0

0=|x-1|

x=1

So, the x-intercept is (1,0).

From x and y-intercepts, we can say that the fourth option is correct.