INTUITIVE UNDERSTANDING OF THE VERTEX AND AXIS OF SYMMETRY OF A PARABOLA WITHOUT COMPLETING THE SQUARE
Keywords:
parabola, quadratic function, vertex, axis of symmetryDOI:
https://doi.org/10.17654/0973563124010Abstract
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
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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.
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