Question

Which of the following is the linear parent function

Answer 1

The linear parent function is Choice C. because, for y=x or x=y, the slope (rate of change) is constant. 

Answer 2

Option C is correct linear parent function.

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|`

Here we have absolute sign on x. It is parent function of absolute function.

Option B:
`f(x)=x^2`

Here we have square on x. It is parent function of quadratic or parabola.

Option C:
`f(x)=x`

It is parent function of linear because exponent of x is 1 and coefficient of x is 1.

Option D:
`f(x)=2x`

It is linear function but not parent because coefficient of x is not 1.

Hence, Option C is correct linear parent function.