Circle Conics
58 min 9 Examples
- Introduction to Video: Circles
- Overview of Circle Equation
- Examples #1-3: Write equation in Standard Form, Graph and find Domain and Range
- Example #4: Write equation in Standard Form, Graph and find Domain and Range
- Example #5: Write equation in Standard Form tangent to an axis
- Overview of General Form for the Equation of a Circle
- Examples #6-9: Write the Circle Equation in Standard Form by Completing the Square
Ellipse Conics
1 hr 17 min 13 Examples
- Introduction to Video: Ellipses
- Overview of Ellipse Equation, Graph and Characteristics
- Examples #1-4: Sketch the Ellipse and find the vertices, covertices, foci and length of major and minor axes
- Examples #5-7: Write the equation of the Ellipse centered at the origin
- Overview of Standard (h,k) Form and General Form for an Ellipse
- Examples #8-9: Sketch the Ellipse and find the Foci and Domain and Range
- Examples #10-11: Sketch the Ellipse and find the Foci and Domain and Range
- Examples #12-13: Write the Ellipse Equation in Standard Form by Completing the Square
Parabola Conics
57 min 8 Examples
- Introduction to Video: Parabolas
- Overview of the Conic Section – Parabolas
- Examples #1-4: Write the Parabola in Standard (h,k) Form
- Examples #5-8: Graph the Parabola and find the Vertex, Foci, and Directrix
Hyperbola Conics
1 hr 12 min 5 Examples
- Introduction to Video: Conic Sections – Hyperbolas
- Overview of Conic Sections: Hyperbolas
- Examples #1-3: Graph the Hyperbola and identify center, vertices, foci and asymptotes
- Examples #4-5: Write the Hyperbola in Standard Form, graph and identify center, vertices, foci and asymptotes
Conics Review
46 min 18 Examples
- Introduction to Video: Conic Sections Review and Half-Conic Sections
- How to Identify Conic Sections
- Examples #1-10: Identify the Conic Section
- Overview of Half-Conics with Examples #11-12
- Examples #13-18: Graph the Half-Conic and determine Domain and Range
Parametric Equations
1 hr 52 min 17 Examples
- Introduction to Video: Parametric Equations
- Overview of Parametric Equations and Notation
- Examples #1-4: Sketch the Parametric Curve using a table of values and indicate direction of motion
- Steps for Eliminating the Parameter and writing equation in Rectangular Form with Example #5
- Examples #6-9: Eliminate the Parameter and write equation in Rectangular Form and Sketch
- Examples #10-13: Write each Rectangular equation as a Pair of Parametric Equations
- Overview of Applications of Parametric Functions with Example #14
- Example #15: When does the object hit the ground?
- General Equations for Path of an object in Parametric Form with Example #16
- Example #17: Two objects are launched: Find How long? How Far? for each object
Chapter Test
1 hr 6 min 9 Examples
- Examples #1-5: Graph the Conic Section and determine Domain and Range
- Example #6: Write the Ellipse in Standard Form, graph and identify vertices, covertices, and foci
- Example #7: Write the Hyperbola in Standard Form, graph and identify vertices, foci, and asymptotes
- Example #8: Write the Parabola in Standard Form, graph and identify vertex, focus, and directrix
- Example #9: Write the Circle in Standard Form, graph and identify center and radius
