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A.Stretching and Compressing: Transformations

The document describes 5 types of transformations that can be performed on functions: 1) Stretching or compressing along the y-axis using y=af(x) where a>1 is a stretch and 0<a<1 is a compression; 2) Horizontal reflection over the x-axis using y=±f(x); 3) Vertical reflection over the y-axis using y=f(±x); 4) Horizontal shifting left or right using y=f(x±b) where + shifts left and - shifts right; 5) Vertical shifting up or down using y=f(x)±b where + shifts up and - shifts down. The numbers indicate shifts and the signs indicate reflections over the

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66 views3 pages

A.Stretching and Compressing: Transformations

The document describes 5 types of transformations that can be performed on functions: 1) Stretching or compressing along the y-axis using y=af(x) where a>1 is a stretch and 0<a<1 is a compression; 2) Horizontal reflection over the x-axis using y=±f(x); 3) Vertical reflection over the y-axis using y=f(±x); 4) Horizontal shifting left or right using y=f(x±b) where + shifts left and - shifts right; 5) Vertical shifting up or down using y=f(x)±b where + shifts up and - shifts down. The numbers indicate shifts and the signs indicate reflections over the

Uploaded by

AhmedSirag
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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Transformations

A. Stretching and compressing


y=af ( x )
a>1

Stretch

0<a <1

Compression

B. horizontal reflection
y= f ( x )

Reflection over the x axis

C. vertical reflection
y=f ( x )
Reflection over the y axis

D.Horizontal motion
y=f ( x b )

shift left

- shift right
E. Vertical motion
y=f ( x ) b

+
-

shift up
shift down

Note:

The numbers: shifts up or down right or left


The signs: reflect over the x axis or the y axis

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