# 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 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.

• ### What is the parent function of y = x 2?

• These four are all quadratic functions, and their simplest form would be y = x 2. Hence, the parent function for this family is y = x 2. Since parent functions are the simplest form of a given group of functions, they can immediately give you an idea of how a given function from the same family would look like.