It has recently become topical the usage of various packages of computer mathematics systems to improve the eciency of the educational process. In our presentation we discuss the role of visualization when studying higher mathematics, also the application possibilities of the GeoGebra interactive geometry environment for making a second-order curve image. The GeoGebra interactive geometry environment application in studying second-order curves makes it possible to ensure studied visualization of mathematics objects. Using GeoGebra expediently when studying the areas of mathematics, where it is necessary to make not only calculation but also the geometrical construction, that contributes to better understanding of the studied material, to the development of spatial thinking, facilitates and accelerates the process of problem solving [1]. For instance, multimedia support created with the help of GeoGebra is used at the lecture on Multiple integrals for calculating the volume of solid with limited surface area, for making the right choice of a picture plane, and for determining the limits of integration. Colored pictures will help the students form the general view of these surfaces, so they could construct similar shapes in future. GeoGebra can export some images in graphic form (function graphs, gure constructions etc.) and they can be easily placed into the text document, so it allows to make good-looking sketches for lectures, tests and tasks. GeoGebra is an instrument of electronic digital resources that ensures the most important educational principle { principle of visibility. This program is a very good instrument for promoting the quality of teaching higher mathematics at universities and colleges [2]. The application of interactive teaching means along with the classical education will make it possible to create an up-to-date higher mathematics course.