Transformations of Quadratic Equations - Lecture and Problem Set

Learn to graph quadratic functions without tables in this comprehensive mathematics lecture and problem-solving session focused on parabola transformations. Master the vertex form of quadratic functions y = a(x - h)^2 + k, understanding how 'a' affects vertical stretch/compression and how (h,k) determines the vertex position. Explore the parent function's "1-1, 2-4, 3-9" pattern and discover how vertical stretch factors modify y-values through multiplication. Delve into horizontal stretches/compressions and their conversion to vertical stretch factors, ensuring proficiency in achieving vertex form. Work through numerous practice problems, including word problems requiring graphing calculator usage, with detailed explanations and step-by-step solutions. Access downloadable resources including textbook materials and graph paper, while following along with clearly marked timestamps for each problem set and topic section.