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This file includes 15 resource files for an overview of graph transformations:
- Parent graphs (linear, quadratic, cubic, absolute value, square root, exponential)
- Combined transformations
- Writing equations from graphs
You will download a .zip file from which 15 .doc files can be extracted.
Each file includes a key for the notes and practice problems. The files include guided notes and homework. See descriptions below:
0 - Teacher Notes: A detailed description of how I approach this topic using these resources (what I call "IHOP / OVEX")
1a - Parent Graphs and Transformations: Parent graphs and guide points, and a basic introduction to transformations
1b - IHOP OVEX Summary: A more detailed summary of my method for students' reference
2a - Transformations - Discovery by Tables: Before learning the IHOP / OVEX method, students create tables to graph transformed functions to find patterns.
3a - Shifts - Practice: Summary and practice with shifts
3b - Shifts - More Practice: Individual practice with shifts
4a - Reflections and Shifts - Practice: Summary and practice with reflections and shifts
4b - Reflections and Shifts - More Practice: Individual practice with reflections and shifts
4c - Reflections and Shifts - Even More Practice: More individual practice with reflections and shifts
5a - Dilations - Practice: Summary and practice with dilations
5b - Dilations - More Practice: Individual practice with dilations
6a - General Practice - Graphs: Mixed practice with all transformation types
6b - General Practice - Equations: Practice working backwards, writing equations based on the graph
7 - Additional Practice: More mixed practice
Common Core Standards:
F-IF.7 Graph functions expressed symbolically and show key features of the graph
F-BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs.