In mathematics, a cuspidal cubic or semicubical parabola is an algebraic plane curve that has an implicit equation of the form (with a ≠ 0) in some Cartesian coordinate system. Solving for y leads to the explicit form which imply that every real point satisfies x ≥ 0. The exponent explains the term semicubical parabola. (A parabola can be described by the equation y = ax2.) Solving the implicit equation for x yields a second explicit form The parametric equation can also be deduced from the implicit equation by putting The semicubical parabolas have a cuspidal singularity; hence the name of cuspidal cubic. The arc length of the curve was calculated by the English mathematician William Neile and published in 1657 (see ). (Wikipedia).
Curves in Modern Times | Algebraic Calculus One | Wild Egg
This video introduces some key objects, and also challenges, when we move beyond the Greek tradition to the more modern view of "curves". This rests crucially on the development of analytic geometry, or Cartesian coordinates, by Fermat and Descartes in the 17th century. They, along with Jo
From playlist Algebraic Calculus One from Wild Egg
In this video we review the basic components of a parabola
From playlist Parabolas
How to determine the domain and range and graph
👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic equation is an equation whose highest exponent in the variab
From playlist Find the Parts of a Parabola
What is the definition of a hyperbola
Learn all about hyperbolas. A hyperbola is a conic section with two fixed points called the foci such that the difference between the distances of any point on the hyperbola from the two foci is equal to the distance between the two foci. Some of the characteristics of a hyperbola includ
From playlist The Hyperbola in Conic Sections
What is the definition of a hyperbola
Learn all about hyperbolas. A hyperbola is a conic section with two fixed points called the foci such that the difference between the distances of any point on the hyperbola from the two foci is equal to the distance between the two foci. Some of the characteristics of a hyperbola includ
From playlist The Hyperbola in Conic Sections
What are the basic characteristics of a parabola for conic sections
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
What are Hyperbolas? | Ch 1, Hyperbolic Trigonometry
This is the first chapter in a series about hyperbolas from first principles, reimagining trigonometry using hyperbolas instead of circles. This first chapter defines hyperbolas and hyperbolic relationships and sets some foreshadowings for later chapters This is my completed submission t
From playlist Summer of Math Exposition 2 videos
What is the domain and range of a quadratic graph
👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic equation is an equation whose highest exponent in the variab
From playlist Find the Parts of a Parabola
Find the vertex of a polynomial
👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic equation is an equation whose highest exponent in the variab
From playlist Find the Parts of a Parabola
Identify the parts and graph a parabola
👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic equation is an equation whose highest exponent in the variab
From playlist Find the Parts of a Parabola
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
Use the formula to find the vertex
👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic equation is an equation whose highest exponent in the variab
From playlist Find the Parts of a Parabola