How to graph an absolute value equation using transformations

How to graph an absolute value equation using transformations

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the absolute value function, known as the V graph, and how it can be transformed using the formula X-H+K. The instructor details the roles of parameters A, H, and K in stretching, compressing, and shifting the graph. Examples are provided to illustrate how these transformations affect the graph's appearance, including making it skinnier through vertical stretching.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the shape of the graph of an absolute value function and why is it called the V graph?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of the parameters A, H, and K in the transformation of the absolute value function.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how the vertical stretch or compression of the graph is determined by the value of A.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the value of H affect the graph of the absolute value function?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the graph when K is negative, and how does it affect the position of the vertex?

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