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|.
