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1. Understanding

While the student was able to generate equations with the correct values for k, the student also attended to the intermediate step of creating tables. It is unknown whether the table was created during the process of graphing or as justification.

2. CCSS Alignment

The student proficiently wrote the functions m and n in terms of the function f.

Standard referenced:

HSF-BF.B.3: Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.