Graphing an absolute value equation with a vertical shift

Graphing an absolute value equation with a vertical shift

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to graph the function X = 2|X| - 8. It begins by introducing the concept of the parent function for absolute value graphs, which is the absolute value of X. The tutorial then discusses how multiplying the absolute value function by 2 results in a vertical stretch and horizontal compression. Finally, the video covers the transformation of the graph by shifting it 8 units down, resulting in the final graph. The tutorial emphasizes understanding the effects of multipliers and shifts on the graph's shape and position.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the parent function of an absolute value function?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How does multiplying an absolute value function by 2 affect its graph?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the effect of a vertical stretch on the graph of an absolute value function.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the transformations applied to the graph of the function described in the text?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the graph of the function when you shift it down 8 units?

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