Make a conjecture about why the term quadratic parent function includes the word parent.

This is a algebra 1 question

Quadratic pattern function is the main function that can generate infinitely many functions depending on the coefficient of X^2

Step-by-step explanation:

The reason behind the word "parent" is based on the fact that the quadratic pattern function is the main function that can generate infinitely many functions depending on the coefficient of X^2

In mathematics, a parent function is the simplest function of a family of functions that preserves the definition (or shape) of the entire family. For example, for the family of quadratic functions having the general form

y=ax^{2}+bx+c

the simplest function is

y=x^{2}

This is therefore the parent function of the family of quadratic equations.