Transformations of Graphs of Linear Functions - Lecture and Problem Set

Learn about transformations of linear function graphs in this comprehensive mathematics lecture and problem-solving session. Master three fundamental types of transformations - translations (shifts left/right and up/down), reflections (horizontal or vertical flips), and stretches/shrinks (vertical or horizontal scaling). Explore how horizontal transformations work counterintuitively in functions, with special attention to understanding why minus operations become plus operations and multiplication factors become reciprocals. Work through 67 practice problems with detailed explanations, starting from basic concepts and progressing to more complex applications. Access supplementary materials including textbook sections and scaled graph paper to enhance learning. While this topic appears early in the Integrated Math 1 curriculum, the concepts lay groundwork for future geometry units and will be particularly valuable when studying nonlinear function transformations in Integrated Math 2.