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