Question

Which of the following is the parent function of all absolute value functions?• f(x) = 3xO f(x) = |xlO f(x) = 2|xl0 Fx) =2

Answer 1

Answer:

the parent function is f(x) = |x| (option B)

Step-by-step explanation:

Givn:

The equation for different functions

To find:

parent function of all absolute vale function

All absolute functon have the sign "| |"

We need to check the option:

a) The function is a linear function

b) f(x) = |x|

This is an absolute function

c) f(x) = 2|x|

This is also a absolute function

d) This equation will give a parabola

So the possble answrer is between f(x) = |x| and f(x) = 2|x|

For the function to be a parent function, no transformation would have been applied on it.

f(x) = 2|x| has been transformed by a scale factor of 2

Hence, the parent function is f(x) = |x| (option B)