Function Formulas and Graphs: Find the Connections! (CoRD)
Monty Harper, Oklahoma State University
Deborah Moore-Russo, University of Oklahoma
This CoRD steps students through a process of thinking about how to connect a function’s formula to its graph. Through five connected lessons, students will discover how algebraic features of a function’s formula correlate with features of its graph. In particular, students will develop a formulation and accompanying set of rules which may be used to arrive at an accurate graph of a given function by applying linear transformations to the graph of its parent function.
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Simple Quadratic Functions with One Vertical Transformation
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Students work with simple quadratic functions to see how vertical transformations can be understood as resulting from changes to a function’s formula.
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Combining Vertical Transformations of Quadratic Functions
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Students experiment to develop a set of rules for successfully graphing vertically transformed quadratic functions.
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Combining Vertical and Horizontal Transformations of Quadratic Functions
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Building on the previous lessons, students generalize their set of rules to include horizontal transformations . |
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Transforming Functions in General
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Building on the previous lessons, students apply their set of rules to successfully graph transformed functions of many different types.
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Applications of Transformations
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Students use transformations to model given real world data.
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This work is licensed under CC BY-NC-SA 4.0
