Grafik

1. 1p Parent Trig
Graphs with translations

2. 1p

3. y = sin(2x)
1p

4. y = sin(2x)
1p

5. 1p y = sin(2x) Amplitude = 1
Period = π
Phase shift = 0

6. y = 3sin(x)
1p

7. 1p y = 3sin(x) Amplitude = 3
Period = 2π
Phase shift = 0

8. y =
-4sin(2x)
1p

9. y =
-4sin(2x)
1p Jeff Bivin -- LZHS

10. y =
-4sin(2x)
1p Amplitude = 4
Period = π
Phase shift = 0

11. y = sin(x +
π/2)
1p x + π/2 = 0
x = -π/2
π/2

12. y = sin(x +
π/2)
1p x + π/2 = 0
x = -π/2
π/2
Amplitude = 1
Period = 2π
Phase shift = -π/2

13. ( ) cos 1
ö çè
1p ÷ø
f x = æ x
2

14. ( ) cos 1
ö çè
1p ÷ø
f x = æ x
2
Amplitude = 1
Period = 4π
Phase shift = 0

15. (x) = cos(2 x)
1p f

16. (x) = cos(2 x)
1p f Amplitude = 1
Period = π
Phase shift = 0

17. (x) = 3cos(2 x)
1p f

18. f (x) = 3cos(2 x)
1p Amplitude = 3
Period = π
Phase shift = 0

19. f (x) 2cos x p 0
ö çè
1p ÷ø
= æ -
3
x - p =
3
x = p
3
π/3

20. f (x) 2cos x p
ö çè
1p Amplitude = 2
Period = 2π
Phase shift = π/3
0
x - p =
3
x = p
3
÷ø
= æ -
3
π/3

21. (x) = 3cos(2x -p ) + 1 2x -p = 0
1p f x = p
2
π/2

22. (x) = 3cos(2x -p ) + 1
1p f UP
1
UP
1

23. (x) = 3cos(2x -p ) + 1
1p f UP
1
Amplitude = 3
Period = π
Phase shift = π/2
UP
1

24. 1p

25. y = csc(x)
1
sin( x
)
1p y =

26. y = csc(x)
1
sin( x
)
1p Amplitude = 1
Period = 2π
Phase shift = 0
y =
Jeff Bivin -- LZHS

27. y = sec(x)
1
cos( x
)
1p y =

28. y = sec(x)
1
cos( x
)
1p y =
Amplitude = 1
Period = 2π
Phase shift = 0

29. 1p y = 3sec(x-
π) x -p = 0
x =p
π

30. 1p y = 3sec(x-
π) x -p = 0
x =p
π
Amplitude = 3
Period = 2π
Phase shift = π

31. 1p

32. y = tan(x)
1p y = x
sin( )
x
cos( )
Jeff Bivin -- LZHS

33. y = tan(x)
1p Amplitude = 1
Period = π
Phase shift = 0

34. y = cot(x)
1p y = x
cos( )
x
sin( )

35. y = cot(x)
1p Amplitude = 1
Period = π
Phase shift = 0

36. y =
tan(2x+π)
1p y x
= +
p
+
sin(2 )
p
x
cos(2 )
2x + p = 0
x = -p
2
π/2
Jeff Bivin -- LZHS

37. 1p y =
tan(2x+π) 2x + p = 0
x = -p
2
π/2

38. 1p y =
tan(2x+π) 2x + p = 0
x = -p
2
π/2
Amplitude = 1
Period = π/2
Phase shift = - π/2

39. 1p