Answer:
Option C is correct linear parent function.
Step-by-step explanation:
We need to choose from the option as a linear parent function.
We will look each option and explain each one.
Option A: ![f(x)=|x|](https://tex.z-dn.net/?f=f%28x%29%3D%7Cx%7C)
Here we have absolute sign on x. It is parent function of absolute function.
Option B: ![f(x)=x^2](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2)
Here we have square on x. It is parent function of quadratic or parabola.
Option C: ![f(x)=x](https://tex.z-dn.net/?f=f%28x%29%3Dx)
It is parent function of linear because exponent of x is 1 and coefficient of x is 1.
Option D: ![f(x)=2x](https://tex.z-dn.net/?f=f%28x%29%3D2x)
It is linear function but not parent because coefficient of x is not 1.
Hence, Option C is correct linear parent function.