3Blue1Brown
Ever wondered why slicing a cone gives an ellipse? It’s wonderfully clever!
A beautiful proof of why slicing a cone gives an ellipse.
Brian McLogan
How do you graph a parabola using 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...
Brian McLogan
Graph an ellipse with the center not at the origin
Learn how to graph horizontal ellipse not centered at the origin. A horizontal ellipse is an ellipse which major axis is horizontal. To graph a horizontal ellipse, we first identify some of the properties of the ellipse including the...
Brian McLogan
Learn how to write the standard form of a parabola given the focus and vertex
Learn how to write the equation of a parabola given the vertex and the focus. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared). Recall...
msvgo
Cartesian Equation of Parabola
It defines parabola as the locus of a point, and defines the associated terms. Derive the standard Cartesian equation of parabola and associated terms. Determine the symmetry.
Brian McLogan
Graph and identify the parts of a ellipse with vertical major axis
Learn how to graph vertical ellipse not centered at the origin. A vertical ellipse is an ellipse which major axis is vertical. To graph a vertical ellipse, we first identify some of the properties of the ellipse including the major...
Brian McLogan
What is the eccentricity of an ellipse
Learn all about ellipses for conic sections. We will discuss all the essential definitions such as center, foci, vertices, co-vertices, major axis and minor axis. We will also discuss the essential processes such as how to graph and...
Brian McLogan
Graph an ellipse with the center at the origin
Learn how to graph vertical ellipse centered at the origin. A vertical ellipse is an ellipse which major axis is vertical. To graph a vertical ellipse, we first identify some of the properties of the ellipse including the major radius...
Brian McLogan
Classifying Conic Sections: Conic Sections | Pre-Calculus Lesson
In this lesson we will work on how to identify the different types of conics when given an equation in standard or general form. In general form we will discuss how to find the vertex of a parabola as well as the center of an ellipse,...
Brian McLogan
how to graph and identify the foci, asymptotes, center, vertices of a hyperbola
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2...
Brian McLogan
Three steps to writing the equation of an ellipse
Three steps to writing the equation of an ellipse
Brian McLogan
Classify a conic section in general form | fast
Classify a conic section in general form | fast
Brian McLogan
Master Determing the vertex, focus and directrix of a parabola by completing the square
Master Determing the vertex, focus and directrix of a parabola by completing the square
Brian McLogan
Master Determining the vertices, foci, and aymptotes of a hyperbola by completing the square
Master Determining the vertices, foci, and aymptotes of a hyperbola by completing the square
Brian McLogan
Vertices, foci and center of an ellipse in standard form
Vertices, foci and center of an ellipse in standard form
Brian McLogan
Master How to determine the vertices, foci and asymptotes of a hyperbola center at origin
Master How to determine the vertices, foci and asymptotes of a hyperbola center at origin
Brian McLogan
Steps to classify conic sections
Learn how to classify conic sections. A conic section is a figure formed by the intersection of a plane and a cone. A conic section may be a circle, an ellipse, a parabola, or a hyperbola. The general equation of a conic section is given...
msvgo
Cartesian Equation of Ellipse
It defines ellipse as the locus of a point, its associated terms. It also derives the Cartesian standard equation of ellipse.
Professor Dave Explains
Graphing Conic Sections Part 3: Parabolas in Standard Form
Looking at conic sections.
Khan Academy
Introduction to Conic Sections, Conic Sections, Algebra II
Here, parabolas, circles, ellipses, and hyperbolas are introduced by showing a general graph of each. By showing the intersection of a plane and a cone to create the different conic sections, one can see how these curves are related.
Khan Academy
Conic Sections: Intro to Circles
This video explores the equation of a circle by first looking at the equation of a circle with the center at the origin and then building upon that, equations of circles that are shifted off the origin.
Curated OER
Conic Sections: Hyperbolas 3
Continuing with the study of graphing hyperbolas, Sal shows an example of graphing a parabola that is centered at a point off the origin. By looking at the equation, first without shifting it, he helps listeners develop an intuitive...
Curated OER
Conic Sections: Hyperbolas 2
Here is an example in this video of graphing a hyperbola centered at the origin. First, Sal shows solving for the equations of the asymptotes and then shows how to determine the direction of the hyperbola. He takes the approach of not...