Algebraic curves | Conic sections | Parabolas
In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point (the focus) and a line (the directrix). The focus does not lie on the directrix. The parabola is the locus of points in that plane that are equidistant from both the directrix and the focus. Another description of a parabola is as a conic section, created from the intersection of a right circular conical surface and a plane parallel to another plane that is tangential to the conical surface. The line perpendicular to the directrix and passing through the focus (that is, the line that splits the parabola through the middle) is called the "axis of symmetry". The point where the parabola intersects its axis of symmetry is called the "vertex" and is the point where the parabola is most sharply curved. The distance between the vertex and the focus, measured along the axis of symmetry, is the "focal length". The "latus rectum" is the chord of the parabola that is parallel to the directrix and passes through the focus. Parabolas can open up, down, left, right, or in some other arbitrary direction. Any parabola can be repositioned and rescaled to fit exactly on any other parabola—that is, all parabolas are geometrically similar. Parabolas have the property that, if they are made of material that reflects light, then light that travels parallel to the axis of symmetry of a parabola and strikes its concave side is reflected to its focus, regardless of where on the parabola the reflection occurs. Conversely, light that originates from a point source at the focus is reflected into a parallel ("collimated") beam, leaving the parabola parallel to the axis of symmetry. The same effects occur with sound and other waves. This reflective property is the basis of many practical uses of parabolas. The parabola has many important applications, from a parabolic antenna or parabolic microphone to automobile headlight reflectors and the design of ballistic missiles. It is frequently used in physics, engineering, and many other areas. (Wikipedia).
Finding the Focus, Directrix, and Axis of Symmetry of a Parabola Example 2
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From playlist Parabolas
Finding the Equation of the Parabola Given a Point and the Vertex
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Finding the Equation of the Parabola Given a Point and the Vertex. We are also told which way the parabola opens.
From playlist Parabolas
In this video we review the basic components of a parabola
From playlist Parabolas
In this video we review the basic components of a parabola
From playlist Parabolas
Algebra Ch 37 Parabola (1 of 22) What is a Parabola?
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn a parabola is the shape of the graph of the general equation y=a(x)2+bx+c, where a does not equal 0. It's “bowl-shaped”
From playlist ALGEBRA CH 37 PARABOLAS
In this video we review the basic components of a parabola
From playlist Parabolas
What is the definition of a parabola
Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and identifying a parabolas parts when given an equation in sta
From playlist Learn all about Parabolas #Conics
Parabola: Locus Definition (Dynamic Illustration WITHOUT WORDS or NUMBERS)
Link: https://www.geogebra.org/m/BFK6P7Ac
From playlist PreCalculus: Dynamic Interactives!
Finding the Equation of the Parabola Given the Focus and Vertex Example 2
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From playlist Parabolas
Solving Quadratic Inequalities (Precalculus - College Algebra 25)
Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com How to solve quadratic inequalities, what they mean, and what we will use it for later.
From playlist Precalculus - College Algebra/Trigonometry
MATH1050 Lec 28 Parabolas College Algebra with Dennis Allison
See full course at: https://cosmolearning.org/courses/college-algebra-pre-calculus-with-dennis-allison/ Video taken from: http://desource.uvu.edu/videos/math1050.php Lecture by Dennis Allison from Utah Valley University.
From playlist UVU: College Algebra with Dennis Allison | CosmoLearning Math
ʕ•ᴥ•ʔ Quadratic Functions - Explained, Simplified and Made Easy
Quickly master how to find characteristics of quadratic functions. Watch more lessons like this and try our practice at https://www.studypug.com/algebra-help/quadratic-functions/characteristics-of-quadratic-functions Three properties that are universal to all quadratic functions: 1) The
From playlist GCSE Exam Prep
What is Parabola? | Conics | Don't Memorise
Parabola is a special type of curve which has many applications in our day to day life. Watch this video to know what is parabola and how useful it is. To watch more High School Math videos, click here - https://bit.ly/HighSchoolMath_DMYT Don’t Memorise brings learning to life through i
From playlist High School Math
How do you graph the Parabola? Let’s learn how…
Learn how to graph a quadratic equation - the graph is called a parabola, this video will explain the exact steps to sketch a parabola. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, wit
From playlist GED Prep Videos
Conic Sections: The Parabola part 1 of 2
This video defines a parabola and explains how to graph a parabola in standard form. http://mathispower4u.wordpress.com/
From playlist Introduction to Conic Sections
Finding The Focus and Directrix of a Parabola - Conic Sections
This video tutorial provides a basic introduction into parabolas and conic sections. It explains how to graph parabolas in standard form and how to graph parabolas with the focus and directrix. The vertex of the parabola can be identified by analyzing the equation in standard form. G
From playlist New Calculus Video Playlist
Introduction to the terms locus, focus, directrix, line of symmetry, vertex, maximum and minimum
From playlist Geometry
Let’s Sketch This Parabola’s Graph – Step by Step…
TabletClass Math: https://tcmathacademy.com/ Algebra help with how to graph a parabola, quadratic equation to include finding the vertex. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/
From playlist GED Prep Videos
Ex 2: Find the Equation of a Parabola Given the Focus and Vertex. (Negative a)
This video provides two examples of how to find the standard equation of a parabola given the coordinates of the focus and the vertex. These examples have a negative value of a. Site: http://mathispower4.com Blog: http://mathispower4u.wordpress.com
From playlist Graphing and Writing Equations of Parabolas
Link: https://www.geogebra.org/m/ztM2Yffm
From playlist 3D: Dynamic Interactives!