Conic Sections: Example 29

Topic

Quadratics

Description

This example shows an ellipse with its center not at the origin. The general equation of an ellipse is ((x-h)²/a²) + ((y-k)²/b²) = 1, where (h,k) is the center and a and b are the lengths of the semi-major and semi-minor axes. In this case, the ellipse is vertically oriented with its center in the first quadrant. The specific equation is ((x - 4)²/16) + ((y - 2)²/49) = 1. This example demonstrates how translating the center affects the equation of the ellipse while maintaining its basic shape and orientation. It highlights the versatility of conic sections in representing various shapes and positions in the coordinate plane.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.