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Common Core Algebra 2Chapter 1: Linear Functions 11.1 Parent Functions and Transformations Essential Question: What are the characteristics of some basic parent functions? What You Will Learn To identify

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How to fill out properties of parent functions

01

Identify the parent function, such as a linear function, quadratic function, or exponential function.

02

Understand the general form of the parent function. For example, a linear function is in the form of y = mx + b, a quadratic function is in the form of y = ax^2 + bx + c, and an exponential function is in the form of y = a * b^x.

03

Determine the key properties of the parent function, such as the y-intercept, slope, vertex, axis of symmetry, or growth/decay rate.

04

Fill out the properties of the parent function by finding the specific values of each property based on the given function or equation.

05

Check your work and make sure all properties are correctly filled out for the parent function.

Who needs properties of parent functions?

01

Students studying algebra or calculus may need to understand and fill out the properties of parent functions as part of their coursework.

02

Mathematicians and scientists use properties of parent functions in various applications, such as analyzing data or modeling real-world phenomena.

03

Engineers and computer scientists may also need to work with parent functions when designing algorithms or systems that involve mathematical functions.

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What is properties of parent functions?

Properties of parent functions refer to the characteristics or attributes of the original function from which other functions are derived.

Who is required to file properties of parent functions?

Typically, mathematicians or individuals studying functions and their transformations are required to analyze and document the properties of parent functions.

How to fill out properties of parent functions?

To fill out properties of parent functions, one must identify and describe key attributes such as domain, range, symmetry, intercepts, and transformations applied.

What is the purpose of properties of parent functions?

The purpose of properties of parent functions is to understand how alterations to the original function impact the resulting function and to analyze patterns and relationships in mathematical models.

What information must be reported on properties of parent functions?

Information such as equations, graphs, transformations, domain, range, intercepts, and symmetry must be reported on properties of parent functions.

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