Writing Trig Equations from Graph Characteristics
Amplitude
Period
Phase Shift
Vertical Shift
Equation
Amplitude
Period
Phase Shift
Vertical Shift
Equation
1



6
none
y = ___sin(___θ ______) ____
1
6
 4
1
y = ___sin(___θ ______) ____
Name:
3
1
2
2
5

4
none
4

2


8
none
Period
3
Phase Shift

3
2
Vertical Shift
5
y = ___sin(___θ ______) ____


12
2
3
6

3
4
1
y = ___cos(___θ ______) ____ y = ___sin(___θ ______) ____
2
Equation

y = ___cos(___θ ______) ____ y = ___sin(___θ ______) ____
7
Amplitude
Date:
3
1
5
5
4
3

2
3
8


y = ___cos(___θ ______) ____ y = ___sin(___θ ______) ____
Name: Ann Sirs
Writing Trig Equations from Graph Characteristics
1
Amplitude
Period
Phase Shift
Vertical Shift
Equation
Amplitude
Period
Phase Shift
1
2


2


6
none


y  sin  2  
3

1
6
 4
5
4
none
y
1
5 

cos 

2
4 

4

2


8
Date:
3



12
2


y  3 sin 2    2
6

3
6

3
4
1
none
1
  4 
y  sin 
 1
3 
3


y  4 cos 4  
2

  
y  3 sin    1
3 4
7
2
Period
3
Phase Shift

3
2
3
1
5
5
4
3

2
Vertical Shift
5
3
8
 2 2 
y  7 sin

5
3 
 3
 4 4 
y  2 cos

3
9 
 3
1  8 12 
y  sin

8
5  5
5 
Vertical Shift
Equation
Amplitude
Equation

