Question

Which of these is the absolute value parent function?

A. f(x) = |x| – 2
B. f(x) = |x|
C. f(x) = |2x|
D. f(x) = |x| + 1

Answer 1

The answer is B. f(x) = |x|

Answer 2

The correct option is B. The absolute value parent function is f(x) = |x|.

Explanation:

The absolute parent function is a function where

`f(x)=x` and
`f(-x)=x`

The graph of absolute function is v-shaped and vertex of the function is (0,0).

According to these conditions the absolute value parent function is

f(x) = |x|

The function f(x) = |x| – 2 shifts 2 units down.

The function f(x) = |2x| stretch by factor 2.

The function f(x) = |x| + 1 shifts 1 units up.

Therefore the correct option is B.