Translations of Non-Linear Graphs WORKSHEET
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.
All worksheets are created by the team of experienced teachers at Cazoom Math.
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Frequently Asked Questions
This worksheet focuses on quadratic and cubic functions, which are non-linear graphs that create curved shapes rather than straight lines. Students will practice translating these more complex function types both vertically and horizontally. Working with these non-linear graphs helps students understand how transformations affect different parts of curved functions, like parabolas and cubic curves.