Question

Which is the graph of the parent function f(x)=|x|?

Answer 1

C.

Absolute value equations grow at a constant rate and because they are absolute they are always positive. 

Answer 2

The graph which shows the parent function f(x) = |x| is graph (B).

What is parent function?

A parent function exists as the simplest function that still satisfies the definition of a particular type of function.

These elementary functions possess rational functions, exponential functions, basic polynomials, absolute values, and the square root function.

What are the properties of the parent function?

Linear Function: f(x) = mx + b where m and b are real numbers.

Constant Function: f(x) = b where b is a real number.

Identity Function: f(x) = x.

Square Function: f(x) = $x^{2}$.

Cube Function: f(x) = $x^{3}$.

Square Root Function:

Reciprocal Function: f(x) = 1/x.

Absolute Value Function: f(x) = |x|

Hence. Option (B)  is the graph of the parent function f(x)=|x|.

To learn more about the Parent function refer to:

https://brainly.com/question/17079244

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