Ellipse Demonstration and Investigation

This example demonstrates how changes in the center coordinates and axis lengths affect the shape of an ellipse. Key mathematical concepts include the definition of an ellipse, center translation, and geometric transformations. Sliders control the center coordinates (h, k) and the lengths of the major and minor axes (a and b). The example also shows the calculation of the perimeter and the positions of the foci. Suitable for high school mathematics education and learning.