Lesson 8 Absolute Value Function Transformations

Lesson 8 Absolute value Function Transformations

Presentation

•

Mathematics

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9th - 12th Grade

•

Practice Problem

•

Easy

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CCSS

HSF-IF.C.7D, 6.NS.C.7C, HSF.BF.B.3

Standards-aligned

Anastasia Avila

Used 23+ times

FREE Resource

5 Slides • 7 Questions

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

Absolute Value Function
Transformations

Dropdown

The vertex is at

, the x-intercept(s) is/are

the y-intercept is

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.

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

Horizontal stretch

Negative Vertical shift

Vertical stretch

Horizontal compression

Negative Horizontal shift

Vertical Reflection

Vertical compression

Positive Vertical shift

Positive Horizontal shift

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

Let's fill in our notes

Switch it up now

Multiple Choice

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

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

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

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

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

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

Absolute Value Function
Transformations

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