Conic Sections: Example 2

Topic

Quadratics

Description

This example illustrates another circle, but with its center shifted from the origin. The equation likely takes the form (x - h)² + (y - k)² = r², where (h, k) is not (0, 0). This demonstrates how the general equation of a circle can be translated to different positions on the coordinate plane. Understanding these translations is key to grasping transformations of functions and conic sections. It's worth noting that despite the shift, the circle maintains its fundamental property of equidistance from the center point to any point on its circumference. This example reinforces the concept that conic sections, including circles, are not always centered at the origin and can be moved around the coordinate plane.

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