Graphing an absolute value inequality with a vertical shift

Graphing an absolute value inequality with a vertical shift

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to graph the inequality Y < |X + 5|. It begins by introducing the concept of absolute value inequalities and the parent graph Y = |X|. The tutorial then discusses the transformation caused by the '+5' and how it shifts the vertex of the graph. The instructor plots the new graph, ensuring it is represented as a dashed line since it is a 'less than' inequality. Finally, the video demonstrates how to test points to determine which areas of the graph are part of the solution set.

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OPEN ENDED QUESTION

3 mins • 1 pt

What new insight or understanding did you gain from this video?

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