When given the vertices and eccentricity find the equation of an ellipse

The video tutorial covers the process of writing equations for parabolas and ellipses. It begins with an introduction to parabolas, discussing the importance of graphing points to determine the correct equation. The tutorial then moves on to graphing vertices and understanding their placement on the axes. It explains how to calculate parameters such as 2A and eccentricity, and how these relate to the equation of an ellipse. The video concludes with formulating and finalizing the equation, emphasizing the importance of plotting information and using the correct formula.

What is the main important thing to consider when writing an equation of a parabola?

How do you determine whether to use a vertical or horizontal equation for a parabola?

What is the significance of the center in relation to the vertices of a parabola?

Explain how to find the value of 'A' in the context of a parabola.

What relationship exists between A, B, and C in the equation of a parabola?

How do you find the vertex of a parabola given its vertices?

What steps should you take when given information about a parabola to write its equation?