Question

Identify the parent function that can be used to graph the function f(x)=4lxl– 3.

Answer 1

A parent function is the simplest function of a family of functions which preserves the shape of all other functions in that family.

Notice that the function:

$f(x)=4|x|-3$

Comes from certain transformations applied to the parent function absolute value:

$|x|$