This math unit focuses on developing a comprehensive understanding of function transformations. Initially, students learn to identify and describe single transformations from graphs or algebraic expressions, including shifts, reflections, and stretches or compressions. They progress to recognizing how specific transformations affect functions, both graphically and in terms of function notation. The unit also introduces complex scenarios involving double transformations, requiring identification of the effects from a combination of transformations on functions. As the unit advances, the focus shifts to specific attributes of functions such as the vertex, and domain and range. Students learn how transformations affect the vertex of a function, with exercises that include calculating new vertex positions and reverse-engineering transformations from a given vertex position. Similarly, they explore how transformations influence the domain and range of functions, identifying transformed domain or range values from given transformations and vice versa. This comprehensive approach solidifies their understanding of how algebraic manipulations impact function properties.Skills you will learn include:
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