2.4 Parent Function Transformations 2

Presentation

•

Mathematics

•

12th Grade

•

Medium

•

CCSS

HSF.BF.B.3

Standards-aligned

Rachel Pankratz

Used 7+ times

FREE Resource

4 Slides • 8 Questions

2.4 Parent FUnction Transformations

Part 2: NON-Rigid Transformations

Some text here about the topic of discussion

Change the shape of a function by changing its size, i.e. thinner, fatter, shorter, longer.

Dilations are non-rigid transformations.

Compress (shorter/fatter) and stretch (thinner, longer)

Non-Rigid Transfomations

a⋅f(x)

if a> 1 Stretches by a factor of a.

if a<1 Compresses by a factor of a.

Vertical DIlations

on all Functions

https://www.desmos.com/calculator/jb3enfbows

Multiple Choice

Describe the transformation from the parent quadratic function:

$y=\frac{1}{4}x^2$

Vertical stretch by a factor of ¼

Vertical shrink by a factor of ¼

Multiple Choice

Describe the transformation from the parent absolute value function:

$y=8\left|x\right|$

Vertical stretch by a factor of 8

Vertical shrink by a factor of 8

Fill in the Blanks

Type answer...

Multiple Choice

What steps transform the graph $y=x^2$ to $y=-\frac{1}{2}\left(x-4\right)^2+1$ ?

Compressed by 1/2, shifted 4 units right and 1 unit up

Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

Stretched by 1/2, shifted 4 units right and 1 unit down

f(a⋅x)

if a> 1 Stretches

if a<1 Compresses

Horizontal DIlations

on all Functions

https://www.desmos.com/calculator/bh31nsts96

Fill in the Blanks

Type answer...

Multiple Select

Describe the transformation from the parent absolute value function:

$y=-\left|x+4\right|-3$

* Select THREE answers *

Reflection over the x-axis

Translation 4 units left

Translation 4 units up

Translation 3 units left

Translation 3 units down

Multiple Select

Describe the transformation from the parent cubic function:

$y=\left(x+6\right)^3-4$

* Select TWO answers *

Translation 6 units right

Translation 6 units left

Translation 4 units up

Translation 4 units down

Audio Response

Describe the transformations on the function from $f\left(x\right)=\sqrt[]{x}$ to $f\left(x\right)=2\sqrt[3]{3x}-1$ . Write out the discription before recording it.

Open Audio Recorder

2.4 Parent FUnction Transformations

Part 2: NON-Rigid Transformations

Some text here about the topic of discussion

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2.4 Parent Function Transformations 2

​2.4 Parent FUnction Transformations

Non-Rigid Transfomations

​Vertical DIlations

Horizontal DIlations

​2.4 Parent FUnction Transformations

Similar Resources on Wayground

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2.4 Parent FUnction Transformations

Vertical DIlations

2.4 Parent FUnction Transformations