Question

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

Answer 1

B

Explanation:

I took the test

Answer 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|.