File:Quadratic function graph complex roots.svg
Size of this PNG preview of this SVG file: 400 × 600 pixels. Other resolutions: 160 × 240 pixels | 320 × 480 pixels | 512 × 768 pixels | 682 × 1,024 pixels | 1,365 × 2,048 pixels.
Original file (SVG file, nominally 512 × 768 pixels, file size: 7 KB)
 | This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
Summary
| Description |
English: Visualisation of the complex roots of y = ax² + bx + c where a is positive and the discriminant, b² - 4ac is negative, by CMG Lee. The parabola is rotated 180° about its vertex (yellow). Its roots are rotated 90° around their mid-point, and the plane is interpreted as the complex plane (green). The example shown has a = 1, b = -2 and c = 5. |
| Source | Own work |
| Author | Cmglee |
Licensing
I, the copyright holder of this work, hereby publish it under the following licenses:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
|
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
You may select the license of your choice.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 18:50, 18 February 2021 | | 512 × 768 (7 KB) | Cmglee | Improve formatting and colours. |
| 19:51, 8 October 2016 |  | 512 × 768 (7 KB) | Cmglee | Shade complex number triangles. | |
| 17:37, 2 October 2016 |  | 512 × 768 (7 KB) | Cmglee | Fix denominator. | |
| 22:10, 1 October 2016 |  | 512 × 768 (6 KB) | Cmglee | Fix text alignment. | |
| 22:03, 1 October 2016 |  | 512 × 768 (6 KB) | Cmglee | {{Information |Description ={{en|1=Visualisation of the complex roots of ''y'' = ''ax''² + ''bx'' + ''c'' where ''a'' is positive and the discriminant, ''b''² - 4''ac'' is negative, by CMG Lee. The graph is rotated 180° about the vert... |
File usage
The following pages on the English Wikipedia use this file (pages on other projects are not listed):
Global file usage
The following other wikis use this file:
- Usage on ar.wikipedia.org
- Usage on es.wikipedia.org
- Usage on eu.wikipedia.org
- Usage on it.wikipedia.org
- Usage on sr.wikipedia.org
