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1. CCSS Alignment

In identification of the effect of the values of k on the graph, the student used both distance and direction in their descriptions of the transformations as expected in standard HSF-BF.B.3.


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.

2. Comprehension & Application

SMP.6: Attend to precision.


In the descriptions for #3 and #4, the student uses “vertically scaled” and “vertically stretched,” respectively. However, in #4, the “stretch” is first described as “by 1/2” and described as changing ”by 1/3.”