While the student has correctly provided equations for each of the graphs, the student shows a lack of understanding of the prompt (“write the functions m and n in terms of the function f”) and of how to correctly use the notation.
2. CCSS Alignment
The student appears to be able to find the values of k given a graph of a transformation, as required in HSF-BF.B.3.
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.