What are the formulas for vertical and horizontal ellipses conic sections

The video tutorial covers the concepts of horizontal and vertical ellipses, focusing on major and minor axes, vertices, and foci. It explains how to find these elements and the formulas used to calculate ellipse properties. The tutorial also discusses the differences between horizontal and vertical ellipses, emphasizing the importance of understanding the placement of variables in equations. The session concludes with a comparison of formulas for different orientations of ellipses.

What is the relationship between the major axis and the distance 'a' in an ellipse?

Describe how the coordinates of the vertices are determined for both horizontal and vertical ellipses.

How do you find the foci of an ellipse given the vertex?

What happens to the K value when finding the foci for a vertical ellipse?

What is the significance of the equation a^2 = b^2 + c^2 in relation to ellipses?

How do the squared variables in the equations for parabolas relate to the equations for ellipses?

Explain the difference in the formulas for horizontal and vertical ellipses.