Аннотация
An analysis of algebra textbooks of 9 grades allowed to state that in the textbooks little attention is paid to the relationship of the quadratic function with real processes, in some textbooks this connection is completely absent. The purpose of the article is to study the kinematic processes in physics based on functional-graphical lines in mathematics. In order to implement such a connection, we have considered problems with physical content and given methods for solving these problems using a functional graphic line (FGL). The analysis of the given graphs opens up wide methodological possibilities of training, since the graphical representation of the physical process makes it more visual and thereby facilitates understanding of the phenomenon under consideration, promotes the development of abstract thinking, intuition, the ability to analyze and compare, and find a more rational way to solve problems. The systematic implementation of such works allows a deeper study of the topic and rational use of the new technique for studying FGL, finding natural connections between disciplines, studying phenomena and processes in technology and nature from the point of view of functional graphic lines.