WHAT is a QUADRATIC FUNCTION? ▶ How to GRAPH a PARABOLA and APPLICATIONS in REAL LIFE ⌚????

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BlueDot

Published on Premiered May 19, 2023
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In this video we will learn what a QUADRATIC FUNCTION is and how the graph of this type of function is obtained, we will also see an application example to model the launch of a ball through parabolic motion. #functions #whatisafunction #graphoffunctions #differentialcalculus #quadraticfunction CHAPTERS: 00:00 Introduction 00:48 Graph of f(x) = x^2 02:29 Parabolas that open upwards 03:35 Graph of f(x) = -x^2 05:17 Parabolas that open downwards 06:27 Graphing f(x) = ax^2 07:28 Graph of f(x) = x^2 + x + 1 09:31 General form of a quadratic function f(x) = ax^2+bx+c 11:02 How to graph a parabola? 12:56 Why is the vertex found like this? 14:50 Example: f(x) = 2x^2 - 8x + 6 16:47 Alternative form: f(x) = a(xh)^2 + k 18:15 Application: Parabolic trajectory of a ball thrown into the air 20:06 Thanks and farewell JOIN THE MEMBERS OF THE CHANNEL AND LEARN TO MAKE ANIMATIONS LIKE MINE: / @bluedot96 Follow me on Twitter: / bluedot96 Follow me on Facebook: / bluedot1196 Follow me on Instagram: / pauloch96 I RECOMMEND THESE VIDEOS: WHAT IS THE DERIVATIVE?: • The DERIVATIVE changed EVERYTHING ???? WHAT is... WHAT IS THE INTEGRAL?: • What is the INTEGRAL? MEANING OF... WHAT IS A FUNCTION?: • A function is NOT A MACHINE WHAT... FUNCTIONS FROM SCRATCH: • WHAT is A FUNCTION? ▶ CARTRIDGE PRODUCT... LINEAR FUNCTION: • What is a LINEAR FUNCTION? ▶ GRAPH... QUADRATIC FUNCTION: • WHAT is a QUADRATIC FUNCTION? ▶ Com... FUNCTIONS OF TWO VARIABLES: • WHAT is a FUNCTION OF TWO VARIABLES?... THE INTEGRAL FROM SCRATCH: • This THEOREM CHANGED EVERYTHING ???? WHAT i... DIFFERENTIATION: • This IDEA OF NEWTON FOUNDED the BASIS... RULES OF DERIVATION: • The UNKNOWN side of the DERIVATIVE ????... WHAT IS CALCULUS?: • Why did CALCULUS CHANGE EVERYTHING? ... WHAT IS A LIMIT?: • A FANTASTIC INTRODUCTION to LIMITS... THE LIMIT EXPLAINED IN DETAIL: • WHAT IS THE LIMIT OF A FUNCTION? ▶OF... LIMIT PROPERTIES: • WHAT IS BEHIND THE FAMOUS PROPERTIES... WHAT IS OPTIMIZATION?: • Why SHOULD YOU LEARN OPTIMIZATION... WHERE DO SIN, COS AND TAN COME FROM?: • REALLY UNDERSTANDING WHAT SIN, COS ARE... UNDERSTANDING SIN, COS AND TAN: • UNDERSTANDING THE SIN, COS AND ... ************************************************************************************************* The animations in this video were made with Manim (Mathematical animation), a library for Python created by Grant Sanderson (3Blue1Brown). Personally, I find it to be a very useful tool to be able to better explain many concepts in a visual way. If you are interested, here is the link to the Manim library for Python: https://github.com/3b1b/manim Without further ado, thank you for your attention and see you in the next video

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