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

Level 1

This math topic focuses on understanding function transformations, specifically relating to the effects of applying multiple transformations to a function. It examines reflection, shifts, and stretching or compression both vertically and horizontally. Each problem presents a different transformation expressed algebraically (like "g(x) = f(-x + z)"), and students are required to identify the resulting transformation, like reflecting in the y-axis and shifting left by z units. This involves critical thinking and a good grasp of how algebraic manipulations affect function graphs.

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

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