THE EQUATION OF A STRAIGHT LINE AND A PARABOLA FORMED AS A RESULT OF A SYMMETRIC TRANSLATION WITH RESPECT TO A STRAIGHT LINE y=kx+b.

Authors

  • Dilraboxon Mamatboyeva Head teacher of Departmet of exact science, The lyceum of Andijan State University, Uzbekistan, Andijan
  • Feruza Mamajonova Head teacher of Departmet of exact science, The lyceum of Andijan State University, Uzbekistan, Andijan
  • Dilnoza Qo‘shaqova Tutor of Presidential school in Andijan, Uzbekistan.
  • Muslima Muhammadjonova Student of Andijan State University, Uzbekistan, Andijan

Keywords:

straight line, parabola, origin of coordinate, rotating, symmetric shapes.

Abstract

Everyone knows mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. It is the building block for everything in our daily lives, including mobile devices, computers, software, architecture (ancient and modern), art, money, engineering and even sports.

In this paper, we study making symmetric shapes of any straight lines and parabolas. To do this, we use moving the origin of coordinate system and rotating it. And important thing is that we can find formulas for determining symmetric shapes of the given straight lines and giperbolas since we know coefficients of equations of the given straight lines and giperbolas.

References

Gerald C., Preston and Anthony R.L. Modern Analytic Geometry. Harper&Row, Publishers, New York, 1971.

Algebra va Matematik analiz asoslari I qism. Toshkent, “O‘qituvchi”, 2002.

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Published

2023-09-05

How to Cite

Mamatboyeva, D., Mamajonova, F., Qo‘shaqova, D., & Muhammadjonova, M. (2023). THE EQUATION OF A STRAIGHT LINE AND A PARABOLA FORMED AS A RESULT OF A SYMMETRIC TRANSLATION WITH RESPECT TO A STRAIGHT LINE y=kx+b. Educational Research in Universal Sciences, 2(8), 38–41. Retrieved from http://erus.uz/index.php/er/article/view/3665

Issue

Vol. 2 No. 8 (2023): Educational Research in Universal Sciences (ERUS)

Section

Articles

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