This math unit delves into the intricacies of function transformations, beginning with the basics of identifying single transformations and their impact on graphs and progressing to more complex scenarios involving multiple transformations. Initially, students learn to apply and visualize simple transformations like shifts, reflections, and stretches on function graphs. As the unit progresses, the focus shifts to understanding how these transformations affect specific parts of functions, such as vertices and overall graphs through algebraic manipulation and graph interpretation. The unit then addresses more advanced concepts, including applying double transformations and learning how these affect the function's vertex. Toward the end, students explore the implications of transformations on a function's domain and range, starting from single changes to more complex double transformations, embedding a deeper understanding of how domain and range are impacted by various function transformations. This structured approach builds a comprehensive ability to manipulate and analyze functions in algebraic and graphic forms.Skills you will learn include:
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