# how to identify the parent function Y = x

• ### How do I find the parent function of a linear function?

• You can use an online graphing calculator or the graphing utility applet below to discover information about the linear parent function. 1. In the applet below (or on the online site ), input a value for x for the equation y ( x) = ____ and click Graph.

• ### How do you find the traits of a parent function?

• It is important to remember that you must know whether the traits of a function are related to linear ( y = x) or quadratic ( y = x2) parent functions. You can use an online graphing calculator or the graphing utility applet below to discover information about the linear parent function.

• ### What is a parent function?

• Parent functions are the fundamental forms of different families of functions. In short, it shows the simplest form of a function without any transformations. As a refresher, a family of functions is simply the set of functions that are defined by the same degree, shape, and form.

• ### How do you find all the functions within a family?

• Furthermore, all of the functions within a family of functions can be derived from the parent function by taking the parent function鈥檚 graph through various transformations. These transformations include horizontal shifts, stretching, or compressing vertically or horizontally, reflecting over the x or y axes, and vertical shifts.