Conic Sections: Example 33

Topic

Quadratics

Description

This example shows an ellipse with its center not at the origin. The equation is of the form ((x - h)²/a²) + ((y - k)²/b²) = 1, where (h, k) is the center. The ellipse is vertically oriented with its center in the third quadrant. The equation is ((x + 7)²/9) + ((y + 2)²/64) = 1. This example is valuable for understanding how the signs in the equation affect the orientation and position of the ellipse. It reinforces the concept of transformations applied to the basic ellipse equation and how these transformations are reflected in the graph.

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