# PreCalc Chapter 10

Ch 10 Topics from Analytic Geometry

Ch 10.1 Parabola

Definitions of Parabolas ;
Graphing , Finding the Vertex, Axis of Symmetry, Focus, Directrix, Direction of Opening and Length of Latus Rectum (Part 1)

Graphing , Finding the Vertex, Axis of Symmetry, Focus, Directrix, Direction of Opening and Length of Latus Rectum (Part 2) ;
Writing  in Standard Form ;
Finding and Plotting the Equation of a Parabola Given Focus at  and Directrix at  ;
Definition of Reflective Property

Finding the Equation of a Parabola from
Focus at  and Directrix at
Focus at  and Directrix at

Ch 10.2 Ellipses

Definition of Ellipse ;
Definition of Eccentricity ;
Definition of Reflective Property ;
Finding the Vertices and Focus, and Graphing

Finding Center, Endpoints of the Major Axis, Endpoints of the Minor Axis, Foci, Eccentricity and Graphing

Finding Center, Endpoints of the Major Axis, Endpoints of the Minor Axis, Foci, Eccentricity and Graphing

Writing  in Standard Form ;
Finding the Equation of the Ellipse given Foci at  and Length of the Minor Axis=
http://www.youtube.com/watch?v=Cw_9q4RPu6Y&list=PL554F9F460401DF50&index=29&feature=plpp_video (Part 1 and 2 of the Video)

Writing   in Standard Form, finding Center, Endpoints of the Major Axis, Endpoints of the Minor Axis, Foci, Eccentricity and Graphing it

Finding the Standard Equation of the Ellipse given Foci at  and Length of the Minor Axis=

Finding the Standard Equation of the Ellipse given Center at , a Focus at  and a Vertex at

Finding the Standard Equation of the Ellipse given Center at , a Focus at  and a Vertex at

Finding the Standard Equation of the Ellipse given Center at , a Vertex at  and Eccentricity of

Ch 10.3 Hyperbola

Definition of Hyperbola ;
Finding the Vertices, Foci, Equation of the Asymptotes and Graphing  (Part 1)
http://www.youtube.com/watch?v=Cw_9q4RPu6Y&list=PL554F9F460401DF50&index=29&feature=plpp_video (Part 3 and 4 of the Video)

Finding the Vertices, Foci, Equation of the Asymptotes and Graphing  (Part 2) ;
Finding the Equation of the Hyperbola given Foci at  and Vertices at  ;
Definition of Circle ;
Identifying the Equations as Either a Parabola, Circle, Ellipse or Hyperbola

Definition of Hyperbola ;
Graphing  ;
Graphing

Writing Hyperbola  in Standard Form and Graphing ;
Writing Hyperbola  in Standard Form and Graphing

Finding the Vertices, Foci, Endpoints of the Conjugate Axis, Asymptotes and Graphing

Finding the Vertices, Foci, Endpoints of the Conjugate Axis, Asymptotes and Graphing

Finding the Standard Equation of the Hyperbola given Center at , Focus at  and a Vertex at

Determining What Type of Conic Section from General Form

Ch 10.4 Plane Curves and Parametric Equations

Introduction to Parametric Equations ;
Graphing the Parametric Equation , ,  ;
Graphing the Parametric Equation , ,

Steps of Converting Parametric Equations to Rectangular Equation ;
Converting Parametric Equations ,  to Rectangular Equation, Stating the Domain and Graphing it ;
Converting Parametric Equations ,  to Rectangular Equation, Stating the Domain and Graphing it ;
Converting Parametric Equations ,  to Rectangular Equation, Stating the Domain and Graphing it ;
Converting Parametric Equations ,  to Rectangular Equation, and Graphing it

Graphing the Following Parametric Equations and Converting them to Rectangular Equation
, ,
, ,

Converting the Following Parametric Equations to Rectangular Equation and Graphing it
, ,
,
,

Graphing Parametric Equations on the Calculator TI84
,  ;
, ,    ;
, ,   ;
, ,   ;
, ,

Ch 10.5 Polar Coordinates

Polar Coordinates Basics

Plotting a Point using Polar Coordinate ;
Plotting , , ,  on the Polar Coordinate System ;
Listing the Given Point on the Polar Coordinate in  Different Ways ;
Plotting  on the Polar Coordinate in  Different Ways ;
Writing  in Rectangular Coordinate

Animation: Comparing Polar and Rectangular Coordinates

Converting Polar Coordinate  to Rectangular Coordinate

Converting Rectangular Coordinate  to Polar Coordinate

Converting Rectangular Equation  to Polar Equation

Converting Rectangular Equation Line  to Polar Equation

Converting Rectangular Equation  to Polar Equation

Converting Polar Equation  to Rectangular Equation

Finding the Rectangular and Polar Equation of a Circle from a Graph

Graphing Polar Equations
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;
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