1 / 7

Section 8.1

Section 8.1. Conic Basics. Names of Conics. Circle Ellipse Parabola Hyperbola. Definitions. Circle The set of all points, equidistant from the same point Parabola The set of all points, equidistant from both a line and a point Ellipse

patricia-fitzpatrick
Download Presentation

Section 8.1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Section 8.1 Conic Basics

  2. Names of Conics • Circle • Ellipse • Parabola • Hyperbola

  3. Definitions • Circle • The set of all points, equidistant from the same point • Parabola • The set of all points, equidistant from both a line and a point • Ellipse • The set of all points, the sum of whose distances to two fixed points is constant • Hyperbola • The set of all points, the difference of whose distances to two fixed points is a constant

  4. General form of a second degree equation in two variables Use the discriminant (B2 – 4AC) determine the shape of conics.

  5. Determine the type of conic Step 1: Identify A,B,C,D,E, and F A = 2 , B = 0, C = 1, D = 0, E = 0, F = -4 Step 2: Calculate the discriminant Ellipse Note: If the equation is an ellipse, and A = C, then it is actually a circle.

  6. Determine the type of conic A = 2, B = 0, C = -1, D = 0, E = 0, F = -4 Hyperbola

  7. Determine the type of Conic Hyperbola

More Related