How to find the center, foci and vertices of an ellipse

The video tutorial explains how to find the center, vertices, foci, and eccentricity of an ellipse. It covers converting equations to standard form, completing the square, and calculating key properties. The tutorial emphasizes understanding the relationship between the ellipse's equation and its geometric properties.

What role does the binomial square play in the context of conic sections?

How does the orientation of a conic section (horizontal or vertical) affect its properties?

Describe the relationship between the center, vertices, and foci of a conic section.

What is eccentricity and how is it calculated for conic sections?