Writing the equation of an ellipse given foci and vertex

The video tutorial covers writing equations for conic sections, focusing on ellipses and hyperbolas. It begins with an introduction to the topic, followed by graphing techniques to identify foci and vertices. The instructor explains the properties of hyperbolas, including the transverse axis and the differences between hyperbolas and ellipses. The lesson includes deriving equations using the Pythagorean theorem and concludes with the final equation for a hyperbola. The tutorial emphasizes understanding the differences between conic sections and the importance of graphing in solving these problems.

What is the relationship between the foci and the center of a hyperbola?

How do you determine the vertices of a hyperbola when only one vertex is given?

Explain the difference between the equations of a hyperbola and an ellipse.

What is the formula used to find B and C in a hyperbola?

How do you write the equation of a hyperbola given the values of a and b?