Read the following explanation of what a "parent function" is and how it is related to a "function family".

Question

Determine if the given explanation is correct OR incorrect.
IF the explanation is CORRECT, state that it is correct below, and explain how/why it is correct.
IF the explanation is INCORRECT, state that it is incorrect below, and then re-write it so that it is correct, while still using what is written. (Meaning, only change what is incorrect BUT re-write the whole paragraph below.)A "parent function" is a function that has a graph that is different from all the other functions in the "function family" and it is the absolute most complicated function that still satisfies some of the criteria in the "function family". Some, but not all, of the functions in the "function family" can be derived algebraically from the "parent function" by multiplying by a constant, and/or by adding or subtracting terms. For example, y=x−−√+2
is the parent function of the cubic "function family".

Answer 1

The explanation is INCORRECT.

A "parent function" is a basic function that serves as a fundamental building block for a particular "function family," and it represents the simplest form of that family, not the most complicated. Other functions in the family can be derived from the parent function through transformations, such as shifts, stretches, or reflections. For example, the parent function for the cubic function family is \( f(x) = x^3 \).

Here’s the corrected paragraph:

A "parent function" is a function that has a graph that serves as the fundamental example for a "function family" and is the simplest form of that family. Some, but not all, of the functions in the "function family" can be derived algebraically from the "parent function" by multiplying by a constant, and/or by adding or subtracting terms. For example, \( f(x) = x^3 \) is the parent function of the cubic "function family."