# how to identify the parent function

Y = x

• ### What is a parent function in math?

• A parent function is the simplest function that still satisfies the definition of a certain type of function. For example, when we think of the linear functions which make up a family of functions, the parent function would be y = x.

• ### 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.

• ### 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.

• ### How do you find the child function of a linear function?

• Every function in the Cartesian plane stems from a particular parent function. For example, every linear function can be generated from the parent function f (x) = x; Every other possible linear function of the form y = mx + b is a child function of this parent.