Find the foci vertices and center of an ellipse by completing the square

The video tutorial explains how to transform a given equation into conic section form by completing the square. It covers the process of grouping terms, factoring out coefficients, and creating perfect square trinomials. The tutorial also demonstrates how to identify the center, vertices, and foci of the conic section, providing a step-by-step guide to understanding the transformation and properties of conic sections.

What is the first step in completing the square for the given equation?

How do you determine the values needed to complete the square for the X terms?

What is the significance of creating a perfect square trinomial?

What adjustments must be made to the equation when adding values to one side?

Explain how to find the center of the conic section from the equation.

What are the coordinates of the vertices when the major axis is horizontal?

How do you calculate the foci of the conic section?