About This Chapter
How it works:
- Identify which concepts are covered on your conic sections homework.
- Find videos on those topics within this chapter.
- Watch fun videos, pausing and reviewing as needed.
- Complete sample problems and get instant feedback.
- Finish your conic sections homework with ease!
Topics from your homework you'll be able to complete:
- Directrix and foci of parabolas
- Equations of parabolas
- Equations of ellipses and hyperbolas
- Practice with conic sections
1. Derive the Equation of a Hyperbola from the Foci
This lesson will go over what a hyperbola is and walk through the steps of finding the equation of a hyperbola given just the foci and vertex. After learning the process, we will look at an example of finding a hyperbola equation given this information.
2. Derive the Equation of an Ellipse from the Foci
In this lesson, you're going to learn the definition of an ellipse and foci, the standard forms of the equation for an ellipse, and how to find such an equation when given the foci.
3. Finding the Equation of a Parabola from the Focus and Directrix
A parabola is the familiar shape seen in many physical applications, like the path taken by a ball thrown upwards. This lesson explores equations for the parabola and shows how they may be obtained from two quantities: the focus and the directrix.
4. Foci and the Definitions of Ellipses and Hyperbolas
In this lesson, we'll look at the definition of an ellipse and a hyperbola. We'll use the foci of each of these to define them technically and formally, and we'll look at some examples to make the definitions more understandable.
5. Practice with the Conic Sections
Conic sections are shapes created by cutting through a 3D cone. In this lesson, learn how to identify each conic section from its graph and characteristic equation.
6. The Focus and Directrix of a Parabola
In this lesson, we will review what a parabola is, then we will look at the formal definition of a parabola, introducing the focus and directrix of a parabola. We will look at some examples to help solidify our understanding of these concepts.
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Other chapters within the High School Geometry: Homework Help Resource course
- Foundations of Geometry: Homework Help
- Logic in Mathematics: Homework Help
- Introduction to Geometric Figures: Homework Help
- Properties of Triangles: Homework Help
- Triangles, Theorems and Proofs: Homework Help
- Parallel Lines and Polygons: Homework Help
- Similar Polygons: Homework Help
- Quadrilaterals: Homework Help
- Circular Arcs and Circles: Homework Help
- Geometric Solids: Homework Help
- Analytical Geometry: Homework Help
- Introduction to Trigonometry: Homework Help