Respuesta :

The absolute parent function is |X|.

It is Choice B. because all the other choices are transformations of the parent function except for Choice D. which is just a line on the x-axis. 

Answer: Option B    |x|  and Option C   |x|-1

Explanation:

Absolute function is the function that gives the positive value of any variable even of negative variable.

For example if -1 is operated under absolute function that is |-1| gives the value 1

Option A is incorrect because  [tex]\frac{1}{x}[/tex]  is not written under the denotion of absolute function.

if we say 'x'  is an absolute function it will be denoted by |x|.

Option D is incorrect again because it is not written under the denotion of absolute function.

Absolute function or modulus function is same .