Curves | Functions and mappings | Elementary algebra
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 the simplest function is . This is therefore the parent function of the family of quadratic equations. For linear and quadratic functions, the graph of any function can be obtained from the graph of the parent function by simple translations and stretches parallel to the axes. For example, the graph of y = x2 − 4x + 7 can be obtained from the graph of y = x2 by translating +2 units along the X axis and +3 units along Y axis. This is because the equation can also be written as y − 3 = (x − 2)2. For many trigonometric functions, the parent function is usually a basic sin(x), cos(x), or tan(x). For example, the graph of y = A sin(x) + B cos(x) can be obtained from the graph of y = sin(x) by translating it through an angle α along the positive X axis (where tan(α) = A⁄B), then stretching it parallel to the Y axis using a stretch factor R, where R2 = A2 + B2. This is because A sin(x) + B cos(x) can be written as R sin(x−α) (see List of trigonometric identities). The concept of parent function is less clear for polynomials of higher power because of the extra turning points, but for the family of n-degree polynomial functions for any given n, the parent function is sometimes taken as xn, or, to simplify further, x2 when n is even and x3 for odd n. Turning points may be established by differentiation to provide more detail of the graph. (Wikipedia).
Master Transformations of different parent functions
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From playlist Functions #Master
Using the vertical line test to determine if a graph is a function or not
👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r
From playlist What is the Domain and Range of the Function
Parent Functions Transformations
How to work with Parent Functions and Transformations. Translating, reflecting, stretching and compressing parent functions. We discuss the cubic, quadratic, absolute value, square root, reciprocal, and greatest integer function. 0:18 Review of the Equations & Graphs of Some Common Parent
From playlist PreCalculus
How do the logarithmic and exponential parent graphs compare
👉 Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a logarithmic function, it is usually useful to first graph
From playlist How to Graph Logarithmic Functions | Learn About
Parent Function Graphs Transformations (Shift, Stretch, Reflect)
Graph parent functions given an equation that have been translated horizontally, vertically, as well as stretched, compressed or reflected in this video math tutorial by Mario's Math Tutoring. We go through 4 examples on this worksheet. We cover square root graphs, absolute value, cubic
From playlist Algebra 2
Working with Functions (1 of 2: Notation & Terminology)
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From playlist Working with Functions
In this video, I talk about the definition of a function and properties of functions. I also go over some examples of how to determine whether a relation is a function or not and how to evaluate functions. Enjoy! Facebook: https://www.facebook.com/braingainzofficial Instagram: https://
From playlist College Algebra
How to determine if an ordered pair is a function or not
👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r
From playlist What is the Domain and Range of the Function
Inheritance - Walkthrough - CS50 Labs 2020
*** This is CS50, Harvard University's introduction to the intellectual enterprises of computer science and the art of programming. *** HOW TO SUBSCRIBE http://www.youtube.com/subscription_center?add_user=cs50tv HOW TO TAKE CS50 edX: https://cs50.edx.org/ Harvard Extension School: ht
From playlist Walkthroughs - CS50 Labs 2020
Python OOPs | Learn Python | Python Tutorial for Beginners | Edureka | Python Module 8
🔥Edureka Python Developer Master's Course: https://www.edureka.co/masters-program/python-developer-training This Edureka video on Python OOPs is Module 8 of the Python Tutorial for Beginners Series which talks about Python OOPs Concepts. Object-Oriented Programming in Python is a way of co
From playlist Learn Python Programmimg - Edureka
Inheritance in Java | Java Inheritance Explained | Types of Inheritance | Edureka
🔥 Java Certification Training - https://www.edureka.co/java-j2ee-training-course This Edureka video on "Inheritance in Java" will provide you with detailed knowledge about Java Inheritance. This video will also cover some real-time examples on Inheritance in Java, in order to provide you w
From playlist Java Tutorial For Beginners | Edureka
Java Rewind - 5 | Inheritance in Java | Java Inheritance Explained | Types of Inheritance | Edureka
🔥Java Certification Training: https://www.edureka.co/java-j2ee-training-course This Edureka video on "Inheritance in Java" will provide you with detailed knowledge about Java Inheritance. This video will also cover some real-time examples on Inheritance in Java, in order to provide you wi
From playlist Edureka Live Classes 2020
Sharing Data between Components in Angular
Fully documented lesson at https://angularfirebase.com/lessons/sharing-data-between-angular-components-four-methods/ In this episode, I am going to show you four different ways to share data between Angular components. Parent to Child the Input Decorator When you declare a variable wit
From playlist Angular
React Components Lifecycle | React Tutorial for Beginners | ReactJS Training | Edureka
🔥 Edureka ReactJS Training - https://www.edureka.co/reactjs-redux-certification-training This Edureka video on React Components will help you in understanding the fundamentals of components in ReactJS. This video helps you to learn the following topics: 1. React Components 2. Props 3. St
From playlist ReactJS Tutorial Videos | Edureka
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From playlist Huffman forest
Kruskals Algorithm | Kruskals Algorithm For Minimum Spanning Trees | Data Structures | Simplilearn
Don't forget to participate in challenging activity at --:-- This video on Kruskal Algorithm will acquaint you with the theoretical explanation and complete drive-through example for constructing a minimum spanning tree for given graph. This data structure tutorial will acquaint you with c
From playlist Data Structures & Algorithms
Excel Magic Trick 1355 Extract Data at each Bold Font, Display Horizontally: GET.CELL Macro Function
Download Files: Start File: https://excelisfun.net/files/EMT1355Start.xlsm Finish File: https://excelisfun.net/files/EMT1355Finished.xlsm See how to extract records from a vertical column that contains Parent Names in Bold and Children Names in “Not Bold” and display parent and children
From playlist Excel INDEX & MATCH Function Formula videos
이번 강의는 ' C++언어 16강 상속-II ' 편입니다. 소스코드: http://iotcenter.seoul.go.kr/679
From playlist C++언어
Determine if the equation represents a function
👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r
From playlist What is the Domain and Range of the Function