which transformations do you know? rotation which transformations do you know? rotation
TRANSCRIPT
FUNCTIONS: TRANSFORMATIONS
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
• ROTATION
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
• ROTATION
• ROTATION
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
• TRANSLATION
• ROTATION
• ROTATION
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
• TRANSLATION
• TRANSLATION
• ROTATION
• ROTATION
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
• TRANSLATION• REFLECTION
• TRANSLATION
• ROTATION
• ROTATION
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
• TRANSLATION• REFLECTION
• TRANSLATION
• ROTATION
• ROTATION• NOITCELFER
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
• TRANSLATION• REFLECTION
• TRANSLATION
• ROTATION
• ROTATION• NOITCELFER
• ENLARGEMENT
WHIC
H
TRAN
SFORM
ATIO
N
S DO Y
OU K
NOW
?
• TRANSLATION• REFLECTION
• TRANSLATION
• ROTATION
• ROTATION• NOITCELFER
• ENLARGEMENT
• ENLARGEMENT
WHAT DOES THIS HAVETO DO WITH FUNCTIONS??
With the use of your GDC,
graph:
What do you notice????
What type of transformations
do you have ????
TRAN
SLAT
IONS!
!
!!
With the use of your GDC,
graph:
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:
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
• 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.
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
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
A REFLECTION
about the line y = x