Which of the following is the parent function of all absolute value functions?

f (x) = 3x

f (x) = |x|

f (x) = 2|x|

f (x) = x^2

Hello,

The parent function of all absolute value functions is the f (x) = |x|.

I'll explain why.

f (x) = 3x is a linear function.

f (x) = 2|x| is an absolute value function, but it has a vertical stretch by a factor of 2, and we want to find the parent function, it needs to be in the most simplest form.

f (x) = x² is a quadratic function.

So, the final answer is choice 2, f (x) = |x|.

B

Step-by-step explanation:

I took the test