Combining Translations and Reflections of Graphs WORKSHEET
Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
Combining Translations and Reflections of Graphs WORKSHEET DESCRIPTION
This worksheet follows on from Translating Graphs and Reflecting Graphs to combine two types of transformations. Section A asks learners to sketch a graph after a translation and then a reflection. Section B then asks for sketches of a reflection followed by a translation. Section C then focuses on coordinates before and after a combined transformation. Section D asks learners to match graphs to transformations given in function form and the worksheet ends with problems involving trigonometric graphs.
All worksheets are created by the team of experienced teachers at Cazoom Math.
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Frequently Asked Questions
This topic is commonly taught in IM 1 and Algebra II courses, where students build on their foundational knowledge of individual transformations. By this level, students are ready to tackle the more complex challenge of applying multiple transformations in sequence and understanding how the order affects the final result.