Lesson 8 Absolute value Function Transformations

We will take a look at how we can transform the absolute value parent function.

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​Absolute Value Function
Transformations

Dropdown

The vertex is at ​​​

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, the x-intercept(s) is/are​

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the y-intercept is ​​

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. ​

Poll

What does absolute value of a number mean?

• The number without its sign.

• The distance a number is from zero.

• A number that is absolute.

• I don't remember.

Each value a, b, c, and d have different effects on the parent function. Depending on the location within the equation.

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​General form of transformation equation

Effects of each value

Multiple Choice

Within the transformation equation what type of affect does the value "b" produce?

• vertical shift

• horizontal shift

• vertical compression, shrink, or reflection

• horizontal compression, shrink, or reflection

Labeling

Match the descriptions to the graphs.

Drag labels to their correct position on the image

Vertical Reflection

Horizontal stretch

Negative Vertical shift

Positive Horizontal shift

Positive Vertical shift

Vertical compression

Negative Horizontal shift

Vertical stretch

Horizontal compression

Horizontal Reflection

Multiple Choice

In the transformation equation, what affect does the value "c" have on the parent function?

• Vertical shift

• Horizontal shift

• Vertical compression, shrink, or reflection

• Horizontal compression, shrink, or reflection

Dropdown

a=​​

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b=​​

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c=​​

Select answer

d=​​

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Multiple Choice

Based on this example, what is the transformation equation for this absolute value function?

• $$f\left(x\right)=\frac{7}{9}\left|-x-6\right|$$

• $$f\left(x\right)=-\frac{7}{9}\left|x-6\right|$$

• $$f\left(x\right)=\left|-\frac{7}{9}x+6\right|$$

• $$f\left(x\right)=-\left|\frac{7}{9}x-6\right|$$