Learn how to graph an absolute value equation with multiple transformations

Learn how to graph an absolute value equation with multiple transformations

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to graph the absolute value equation y = 6 - |3x + 1|. It covers rewriting the equation to identify the vertex, understanding the impact of negative absolute values on graph direction, and determining the vertex by solving for x. The tutorial also demonstrates graphing transformations, plotting points, and reflecting them over the axis of symmetry to complete the graph.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the standard form of the absolute value equation discussed in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the negative sign in front of the absolute value affect the graph?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of finding the vertex of the absolute value equation.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of setting the expression inside the absolute value equal to zero?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What common mistake do students make when identifying the vertex in the equation?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you reflect points over the axis of symmetry in the graph of an absolute value equation?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to create a table of values for the graph of the absolute value equation.

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