Mathematics , 23.06.2019 03:40 harding7807

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

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Answer from: Dericktopsom

This is the graph x=1

Answer from: penaabel1492

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

If b>0, then graph shifts upward by b units and if b

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.

Answer from: raikespeare5080

D) (the fourth one)

Step-by-step explanation:

The function will never go below 0 since the absolute of a negative number is a positive number, so C is out of the question.

The equation of an absolute function is f(x) = a|x-h|+k

h is the offset on the x axis, and the equation of this function is |x-(1)|, so that means the function is shifted one to the right, making it D.

Answer from: lizzy2951

Step-by-step explanation:

it has a vertex at (1,0)

Answer from: serenityharmon1

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 from: MayFlowers

it is this graph

Step-by-step explanation:

it is this graph

Answer from: haley816

last one on ed

Step-by-step explanation:

Answer from: 22ksotoq

The last one

Step-by-step explanation:

Your equation is p(x) = |x - 1|

The function equation can be represented by f(x) = a|x - h| + k

To find the vertex, you have to find (h,k)

In the equation p(x) = |x - 1|, 1 is h [since its (+h,k) not (-h,k)]

k is 0 since there is no +k after |x-1|.

So, your vertex will be at (1,0)

Thus, the answer is the last graph.

[I also graphed it on a graphing calculator so you can check. :) ]

Answer from: mismhan01

Absolute value functions generally have a V-shape, pointing up or down depending on the coefficient of the absolute function. In this case the coefficient is +1, so the Vee opens upwards.
Considering that setting x=1, we have |1-1|=0. So the graph should have the vertex at (1,0).

Answer from: angeleyes4u610p6np54

P = x – 11

X

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