Choose the function that is a “parent function”.ƒ( x) = x + 3ƒ( x) = | x - 3|ƒ( x) = ( x - 3) 2ƒ( x) =

The parent function in this list is ƒ( x) = x + 3.

A parent function is the simplest function of a family of functions, which sets the form for the entire family. In this case, ƒ( x) = x + 3 is the simplest linear function, making it the parent function. The other functions listed are transformations of parent functions, but they are not the simplest form.

Here's a step-by-step breakdown:

1. ƒ( x) = x + 3: This is a linear function, which is the simplest form of a function in its family. Therefore, it's a parent function.

2. ƒ( x) = | x - 3|: This is an absolute value function, which is a transformation of the parent function ƒ( x) = |x|.

3. ƒ( x) = ( x - 3) 2: This is a quadratic function, which is a transformation of the parent function ƒ( x) = x^2.

So, the parent function in this list is ƒ( x) = x + 3.