Equation of Hyperbolas and Its Deduction Summary: In this lesson, we will explore the geometric definition of the hyperbola, contrast it with the ellipse, and deduce its general and canonical equations. Learning Objectives: At the end of this lesson, the student will be able to: Define geometrically what a hyperbola...
Conic Sections: Characterization and Graph of Parabolas, Ellipses, and Hyperbolas Summary: In this class, we will review the conic sections (parabolas, ellipses, and hyperbolas), starting with their canonical and general equations. We explain how to identify and characterize each curve, focusing on key elements such as the vertex, focus, and...
Domain, Range, and Graph of Algebraic Functions Summary: This class introduces the concepts of domain, range, and graph of functions, applying them to practical examples of algebraic functions. Graphical and analytical techniques for determining these elements are reviewed. Learning Objectives: At the end of this class, the student will be...
Domain, Range, and Graph - Proposed and Solved Summary: In this class, we practice how to determine the domain, range, and graph of algebraic functions through exercises and solved examples, highlighting the importance of practice to master these techniques. Learning Objectives: By the end of this class, the student will...