Which absolute value function has a graph that is wider than the parent function when graphed represents the parent function f(x)=|x| reflected over the x-axis and translated 1 unit to the right

a. f(x) = -|x|+1
b. f(x) = -|x-1|
c. f(x) =|-x|+1
d. f(x) =|-x-1|

B.

Step-by-step explanation:

We are given that a function

We have to find absolute value of function when parent function reflected over the x- axis and translated 1 unit to the right.

The transformation rule when the point (x,y) is reflected over x- axis is given by

Apply the reflection on function  over x- axis then, we get

Transformation rule when the point (x,y) is shifted a units  towards right is given by

When the graph is translated 1 units towards right then , obtained function is given by

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