Learn how to graph an absolute value equation with a vertical shift down

Learn how to graph an absolute value equation with a vertical shift down

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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The video tutorial explains how to graph an absolute value inequality, specifically focusing on the equation y = |x| - 3. It covers the basic properties of the graph, including its shape and transformation. The tutorial highlights the effect of the transformation, which shifts the graph downward by 3 units, and explains how to determine the new vertex. The instructor provides a step-by-step guide to graphing the inequality, emphasizing the importance of maintaining the same slope and symmetry. The tutorial concludes by summarizing the key difference between the parent graph and the transformed graph.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the equation of the absolute value inequality discussed in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the transformation of minus 3 affect the graph of the absolute value function?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the new vertex of the graph after applying the transformation?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the pattern followed when graphing the absolute value inequality from the vertex.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the main difference between the parent graph and the graph of the absolute value equation discussed?

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