  # Analytic Geometry: Conic Sections

## Video Lectures

Displaying all 39 video lectures.
 Lecture 1 Play Video Parabolas, Part 1Conic Sections: Parabolas, Part 1. In this video, I discuss a quick way to roughly sketch a parabola. Nothing about directrix and focus in this video (look in part 2!). I simply find the vertex, x and y intercepts and do a quick graph. Lecture 2 Play Video Parabolas, Part 2 (Directrix and Focus)Conic Sections: Parabolas, Part 2 (Directrix and Focus). In this video, I discuss how to go about finding the directrix and the focus for a parabola and do a couple of examples. Lecture 3 Play Video Parabolas, Part 3 (Focus and Directrix)Conic Sections: Parabolas, Part 3 ( Focus and Directrix). Just another example of finding the focus and directrix for a parabola (a slightly more involved example). Lecture 4 Play Video Parabolas, Part 4 (Focus and Directrix)Conic Sections: Parabolas, Part 4 (Focus and Directrix). In this video, I find the equation for a parabola given the vertex and given the focus and/or directrix. Lecture 5 Play Video Parabola: Find the Focus and DirectrixConic Sections, Parabola : Find the Focus and Directrix. In this video, we find the focus and directrix of a parabola. Lecture 6 Play Video Parabola: Sketch Graph by Finding Focus, Directrix, PointsConic Sections, Parabola: Sketch Graph by Finding Focus, Directrix, Points. In this video, I sketch the graph of a parabola by first finding the directrix and focus followed by plotting a few points. Lecture 7 Play Video Parabola: Find Equation of Parabola Given the FocusConic Sections, Parabola : Find Equation of Parabola Given the Focus. In this example, we are given that a parabola has a vertex at the origin and we are given the coordinates of the focus. From that, we find the equation of the parabola. Lecture 8 Play Video Parabola: Find Equation of Parabola Given DirectrixConic Sections, Parabola : Find Equation of Parabola Given Directrix. In this example, we are given that a parabola has a vertex at the origin and we are given the equation of the directrix. From that, we find the equation of the parabola. Lecture 9 Play Video Parabola, Shifted: Find Equation Given Vertex and FocusConic Sections, Parabola, Shifted : Find Equation Given Vertex and Focus. Here we find the equation of a shifted parabola given information about the vertex and the focus. Lecture 10 Play Video Hyperbolas, An Introduction - Graphing ExampleConic Sections: Hyperbolas, An Introduction - Graphing Example. In this video, I graph a hyperbola by finding the center, foci, vertices, and asymptotes. Lecture 11 Play Video Finding the Equation for a Hyperbola Given the Graph - Example 1Finding the Equation for a Hyperbola Given the Graph - Example 1. Lecture 12 Play Video Finding the Equation for a Hyperbola Given the Graph - Example 2Finding the Equation for a Hyperbola Given the Graph - Example 2. In this example, we are given the foci and vertices and use those to find the equation of the hyperbola. (I still make a sketch at the beginning though!) Lecture 13 Play Video Hyperbola: Graphing a HyperbolaConic Sections, Hyperbola : Graphing a Hyperbola. In this example, we are given the equation of a hyperbola; I show how to do a rough graph. Lecture 14 Play Video Hyperbola: Find Equation Given Foci and VerticesConic Sections, Hyperbola: Find, Equation Given Foci and Vertices. In this example, we are given the vertices and the foci of an ellipse. We then find the equation of the ellipse. Lecture 15 Play Video Hyperbola: Find Equation Gvien Focus, Transverse Axis LengthConic Sections, Hyperbola: Find Equation Gvien Focus, Transverse Axis Length Lecture 16 Play Video Hyperbola: Find Equation Given Vertices and AsymptotesConic Sections, Hyperbola : Find Equation Given Vertices and Asymptotes. Here we find the equation of a conic section given information about the vertices and the asymptotes. Lecture 17 Play Video Hyperbola: Word Problem , Finding an EquationConic Sections, Hyperbola : Word Problem , Finding an Equation. In this example we have to find the equation that represents the hyperbolic path on which a ship is traveling. Lecture 18 Play Video Hyperbola, Shifted: Find AsymptotesConic Sections, Hyperbola , Shifted : Find Asymptotes. Here we find the point-slope form of the asymptotes of a hyperbola. Lecture 19 Play Video Conic Sections, Hyperbola, Shifted: Sketch the GraphConic Sections, Hyperbola, Shifted: Sketch the Graph. Here we sketch the graph of a shifted hyperbola. Lecture 20 Play Video Conic Sections: Graphing Ellipses (Part 1)Conic Sections: Graphing Ellipses Part 1. In this video, I give the basic definition, one standard formula, and graph two ellipses given the equation. In part 2, I graph two harder examples. Lecture 21 Play Video Conic Sections: Graphing Ellipses (Part 2)Conic Sections: Graphing Ellipses Part 2. In this video, I graph two more ellipses. The second examples requires completing the square to put it in a 'standard form'. Lecture 22 Play Video Ellipse: Graph the EllipseConic Sections, Ellipse : Graph the Ellipse. In this video, I show an example of graphing an ellipse! Lecture 23 Play Video Find Equation of an Ellipse Given Major / Minor Axis LengthConic Sections: Find Equation of an Ellipse Given Major / Minor Axis Length. In this video, we have an ellipse centered at the origin with a specified major and minor axis length. I show how to find the equation of the ellipse with this information. Lecture 24 Play Video Ellipse: Find the Equation Given the Foci and InterceptsConic Sections, Ellipse : Find the Equation Given the Foci and Intercepts. In this example, we are given an ellipse is centered at the origin, the foci of the ellipse and intercepts along the minor axis. We then find the equation of the ellipse using this information. Lecture 25 Play Video Ellipse: Find Equation given Foci and Minor Axis LengthConic Sections, Ellipse : Find Equation given Foci and Minor Axis Length. Lecture 26 Play Video Ellipse: Find X and Y InterceptsConic Sections, Ellipse : Find X and Y Intercepts. In this video, we find the x and y intercepts of an ellipse centered at the origin. Lecture 27 Play Video Ellipse: Find the Foci of an EllipseConic Sections , Ellipse : Find the Foci of an Ellipse. Here we are given the equation of an ellipse and proceed to find the foci. Lecture 28 Play Video Ellipse: Find the Foci Given Eccentricity and VerticesConic Sections, Ellipse : Find the Foci Given Eccentricity and Vertices. Just like it says! We are given the eccentricity and the vertices of an ellipse and proceed to find the foci. Lecture 29 Play Video Ellipse: Find Equation Given Eccentricity and VerticesConic Sections, Ellipse : Find Equation Given Eccentricity and Vertices. In this video, we find the equation of an ellipse that is centered at the origin given information about the eccentricity and the vertices. Lecture 30 Play Video Hyperbola: Find Equation Given Foci and VerticesConic Sections, Hyperbola: Find, Equation Given Foci and Vertices. In this example, we are given the vertices and the foci of an ellipse. We then find the equation of the ellipse. Lecture 31 Play Video Conic Sections, Ellipse, Shifted: Sketch Graph Given EquationConic Sections, Ellipse, Shifted: Sketch Graph Given Equation. In this example, we sketch the graph of a shifted ellipse. Lecture 32 Play Video The Center-Radius Form for a Circle - A few Basic Questions, Example 1The Center-Radius Form for a Circle - A few Basic Questions, Example 1 Lecture 33 Play Video The Center-Radius Form for a Circle - A few Basic Questions, Example 2The Center-Radius Form for a Circle - A few Basic Questions, Example 2 Lecture 34 Play Video Finding the Center-Radius Form of a Circle by Completing the Square - Example 1Finding the Center-Radius Form of a Circle by Completing the Square - Example 1 Lecture 35 Play Video Finding the Center-Radius Form of a Circle by Completing the Square - Example 2Finding the Center-Radius Form of a Circle by Completing the Square - Example 2 Lecture 36 Play Video Finding the Center-Radius Form of a Circle by Completing the Square - Example 3Finding the Center-Radius Form of a Circle by Completing the Square - Example 3 Lecture 37 Play Video Identifying a Conic from an Equation by Completing the Square, Ex 1Identifying a Conic from an Equation by Completing the Square, Ex 1. In this video, I take an equation and complete the square so that we can better recognize the type of conic given by the equation. For more free math videos, visit: http://PatrickJMT.com Lecture 38 Play Video Identifying a Conic from an Equation by Completing the Square, Ex 2Identifying a Conic from an Equation by Completing the Square, Ex 2. In this video, I take an equation and complete the square so that we can better recognize the type of conic given by the equation. For more free math videos, visit: http://PatrickJMT.com Lecture 39 Play Video Identifying a Conic from an Equation by Completing the Square, Ex 3Identifying a Conic from an Equation by Completing the Square, Ex 3. In this video, I take an equation and complete the square so that we can better recognize the type of conic given by the equation. For more free math videos, visit: http://PatrickJMT.com