functions: transformations
DESCRIPTION
FUNCTIONS: TRANSFORMATIONS. WHICH TRANSFORMATIONS DO YOU KNOW?. WHICH TRANSFORMATIONS DO YOU KNOW?. ROTATION. ROTATION. WHICH TRANSFORMATIONS DO YOU KNOW?. ROTATION. ROTATION. WHICH TRANSFORMATIONS DO YOU KNOW?. ROTATION. TRANSLATION. ROTATION. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/1.jpg)
FUNCTIONS: TRANSFORMATIONS
![Page 2: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/2.jpg)
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
![Page 3: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/3.jpg)
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
• ROTATION
![Page 4: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/4.jpg)
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
• ROTATION
• ROTATION
![Page 5: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/5.jpg)
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
• TRANSLATION
• ROTATION
• ROTATION
![Page 6: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/6.jpg)
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
• TRANSLATION
• TRANSLATION
• ROTATION
• ROTATION
![Page 7: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/7.jpg)
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
• TRANSLATION• REFLECTION
• TRANSLATION
• ROTATION
• ROTATION
![Page 8: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/8.jpg)
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
• TRANSLATION• REFLECTION
• TRANSLATION
• ROTATION
• ROTATION• NOITCELFER
![Page 9: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/9.jpg)
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
• TRANSLATION• REFLECTION
• TRANSLATION
• ROTATION
• ROTATION• NOITCELFER
• ENLARGEMENT
![Page 10: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/10.jpg)
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
• TRANSLATION• REFLECTION
• TRANSLATION
• ROTATION
• ROTATION• NOITCELFER
• ENLARGEMENT
• ENLARGEMENT
![Page 11: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/11.jpg)
![Page 12: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/12.jpg)
WHAT DOES THIS HAVETO DO WITH FUNCTIONS??
![Page 13: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/13.jpg)
With the use of your GDC,
graph:
![Page 14: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/14.jpg)
What do you notice????
What type of transformations
do you have ????
![Page 15: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/15.jpg)
TRAN
SLAT
IONS!
!
!!
With the use of your GDC,
graph:
![Page 16: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/16.jpg)
A HORIZONTALtranslation
takes the form:
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 70
5
10
15
20
25
30
Series1Series2
Series 1:
Series 2:
![Page 17: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/17.jpg)
A VERTICAL
translationtakes the form:
Series 1:
Series 2:
-5 -4 -3 -2 -1 0 1 2 3 4 50
5
10
15
20
25
30
35
Series1Series2
![Page 18: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/18.jpg)
• y = f ( x – a ):
translation of f(x) along the x – axis of a units to the RIGHT.
• y = f ( x + a ):
translation of f(x) along the x – axis of a units to the LEFT.
• y = f ( x ) + a:
translation of f(x) along the y – axis of a units UP.
• y = f ( x ) – a:
translation of f(x) along the y – axis of a units DOWN.
![Page 19: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/19.jpg)
A REFLECTIONabout the
x - axis:
Series 1:
Series 2:-5 -4 -3 -2 -1 0 1 2 3 4 5
-30
-20
-10
0
10
20
30
Series1Series2
![Page 20: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/20.jpg)
A REFLECTIONabout the
x - axis:
Series 1:
Series 2:-5 -4 -3 -2 -1 0 1 2 3 4 5
-30
-20
-10
0
10
20
30
Series1Series2
![Page 21: FUNCTIONS: TRANSFORMATIONS](https://reader035.vdocuments.us/reader035/viewer/2022062217/56813f47550346895da9fc29/html5/thumbnails/21.jpg)
A REFLECTION
about the line y = x