Lesson 4.4 Graph of sine and cosine

vertical expation with a factor 3

Reflection over x axis

Vertical expansion with Reflection over x-axis

Vertical expansion with Reflection over y-axis

Period is $$4\pi$$  1 cycle will complete in $$4\pi$$  

Period is $$2\pi$$  

1 cycle will complete in $$2\pi$$  

Period is $$6\pi$$   and frequency is $$\frac{1}{6\pi}$$  

Period is $$3\pi$$   and frequency is $$\frac{1}{3\pi}$$  

Period is $$\frac{1}{6}\pi$$   and frequency is $$6\pi$$  

amplitude =1

period= $$\frac{2\pi}{3}$$  

frequency= $$\frac{3}{2\pi}$$  

phase shift= $$\frac{\pi}{6}$$  

amplitude =none

period= $$\frac{3}{2\pi}$$  

frequency= $$\frac{2\pi}{3}$$  

phase shift=6

amplitude =2

period= $$\frac{3}{2\pi}$$  

frequency= $$\frac{2\pi}{3}$$  

phase shift=0

amplitude =0

period= $$\frac{3}{2\pi}$$  

frequency= $$\frac{2\pi}{3}$$  

phase shift=6

amplitude =5

period= $$\frac{2\pi}{3}$$  

frequency= $$\frac{3}{2\pi}$$  

phase shift= $$\frac{\pi}{6}$$  

vertical shift =2

amplitude =1

period= $$\frac{3}{2\pi}$$  

frequency= $$\frac{2\pi}{3}$$  

phase shift=6

vertical shift =3

amplitude =5

period= $$\frac{3}{2\pi}$$  

frequency= $$\frac{2\pi}{3}$$  

phase shift=0

vertical shift =3

amplitude =5

period= $$\frac{3}{2\pi}$$  

frequency= $$\frac{2\pi}{3}$$  

phase shift=6

vertical shift =2