1 / 22

Exploring Conic Sections: Equations, Axes, and Foci Analysis

This document provides a detailed analysis of various conic sections including circles, ellipses, hyperbolas, and parabolas. It presents the equations of these shapes, along with information regarding important features such as axes length, foci locations, asymptotes, and standard forms. Each conic section is defined by specific equations, and essential properties are derived for better understanding. This reference serves as a comprehensive guide for students and educators in mathematics who aim to deepen their knowledge of conic sections.

oprah
Télécharger la présentation

Exploring Conic Sections: Equations, Axes, and Foci Analysis

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. What am I?

  2. x2 + y2 – 6x + 4y + 9 = 0 Circle

  3. x2 + 4y2 – 6x + 16y + 21 = 0 Ellipse

  4. 4x2 - y2 – 4x -3= 0 Hyperbola

  5. y2 – 6y - 4x + 21 = 0 Parabola

  6. y2 – 4x2 + 4x – 2y – 4 = 0 Hyperbola

  7. x2 + y2 – 4x + 6y – 3 = 0 Circle

  8. x2 –4x – 8y + 2 = 0 Parabola

  9. 4x2 + y2 – 8x + 3= 0 Ellipse

  10. 4x2 + 4y2 – 24x + 35 = 0 Circle

  11. ROUND # 2

  12. = 1 What is the length of the transversal axis? 6 What is the foci? (±5,0)

  13. = 1 What is the length of the major axis? 8 What is the foci? (0, ±)

  14. = 1 What is the equation of the asymptotes? y = ±

  15. = 1 What is the center ? (0,0)

  16. = 1 What is the length of the minor axis? 6

  17. = 1 Find the foci? (2±

  18. = 1 Find the length of the major axis? or

  19. 6y2 - 12y – x – 3 = 0 Write in standard form.

More Related