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Function Transformations (Definition) - Double Definition (Variables) to Transformation

Level 1

This math topic focuses on function transformations, specifically understanding how to apply transformations like stretches, compressions, reflections, and translations to functions. Problems involve identifying the correct transformation that leads from a base function, \( f(x) \), to a new function, \( g(x) \), based on given descriptions. The transformations considered include vertical and horizontal stretches and compressions, reflections in the x-axis and y-axis, and vertical and horizontal shifts. Each problem provides a visual representation of a transformed function and multiple-choice answers for students to select the correct transformation equation.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Function Transformations (Definition) - Double Definition (Variables) to Transformation Worksheet