Far East Journal of Mathematical Education

The Far East Journal of Mathematical Education is a peer-reviewed journal focused on mathematical education. It publishes research papers that enhance understanding of mathematical concepts and encourages the use of technology, statistics, algorithms, and simulations in mathematics learning.

Submit Article

INTUITIVE UNDERSTANDING OF THE VERTEX AND AXIS OF SYMMETRY OF A PARABOLA WITHOUT COMPLETING THE SQUARE

Authors

  • Yukio Kobayashi

Keywords:

parabola, quadratic function, vertex, axis of symmetry

DOI:

https://doi.org/10.17654/0973563124010

Abstract

An approach towards intuitively understanding the vertex and axis of symmetry of a parabola without completing the square is presented. The main aims of this study are to help learners comprehend the following two problems: (1) the reason why the position of an axis of symmetry is essentially determined only by the coefficient of a first-order term, and (2) the reason why the positive and negative of the coefficient of the first-order term are opposite to the positive and negative of the horizontal coordinates of the axis of symmetry. The method of graphing parabolic motion is also presented as a cross-study with kinematics.

Received: August 16, 2024
Accepted: September 13, 2024

References

Nivaldo A. Lemos, On the least uncomfortable journey from A to B, Eur. J. Phys. 40 (2019), 055802.

F. M. de la Rosa, Comparing the widening of two parabolas, Far East Journal of Mathematical Education 20(3) (2020), 95.

International Union of Pure and Applied Chemistry, Quantities, Units and Symbols in Physical Chemistry, IUPAC, 2007.

Yukio Kobayashi, Derivation of some formulae in combinatrics by heuristic method, International Journal of Mathematical Education in Science and Technology 46 (2015), 469-476. Erratum 46 (2015), 795.

Yukio Kobayashi, Supplementary remarks on simple sum using dimensions – from viewpoint of connection to physics based on weighted average, Far East Journal of Mathematical Education 26(1) (2024), 55-70.

Downloads

Published

15-10-2024

Issue

Vol. 26 No. 2 (2024)

Section

Articles

License

Copyright (c) 2024 PUSHPA PUBLISHING HOUSE, PRAYAGRAJ, INDIA

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

_________________________

Licensing Terms:

Attribution: Credit Pushpa Publishing House as the original publisher, including title and author(s) if applicable.

No Derivatives: Modifying or creating derivative works not allowed without written permission.

Contact Puspha Publishing House for more info or permissions.

How to Cite

INTUITIVE UNDERSTANDING OF THE VERTEX AND AXIS OF SYMMETRY OF A PARABOLA WITHOUT COMPLETING THE SQUARE. (2024). Far East Journal of Mathematical Education, 26(2), 99-108. https://doi.org/10.17654/0973563124010

Similar Articles

1-10 of 14

You may also start an advanced similarity search for this article.

Most read articles by the same author(s)

1 2 > >>