Translations of Non-Linear Graphs

Translations of Non-Linear Graphs worksheet

Suitable for Grades: Algebra II, IM 3
CCSS: HSF-BF.B.3
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CCSS Description: 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.
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Translations of Non-Linear Graphs worksheet description

Learners will translate graphs vertically and horizontally using function notation throughout this worksheet. Students will start with a review on translating by vectors as they write down the translation vector that maps one coordinate to another. Next, students match translations in terms of f(x) to the corresponding translation vector.

In section C, learners will write down the coordinates of turning points after three translations in terms of f(x). Then, section D asks learners to sketch the transformation of four different functions (each on its own set of axes). Lastly, students are required to state the equations of functions after a transformation in section E.

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