SDC PreCalculus - Graphs of Trigonometric Functions

What is the period of $y=-\cos3\left(x-\pi\right)-5$  ?

• π/3

• π/6

• 2π/3

• 2π/6

What is the period of this function?

• 
  

  $\frac{\pi}{4}$
  

• $\frac{\pi}{2}$

• $\pi$

• $2\pi$

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Determine an equation for this graph:

• y=csc(x)

• y=sec(x)

• y=cot(x)

• y= tan(x)

Determine an equation for this graph:

• y=csc(x)

• y=sec(x)

• y=cot(x)

• y= tan(x)

Write an equation for the cosine function with amplitude 3, period of  $2\pi$ , phase shift of  $\pi$  , and vertical shift of 5. 

•  $y=5\cos(x-\pi)+3$  

•  $y=3\cos(x-\pi)+5$  

•  $y=3\cos2\left(x-\pi\right)+5$  

•  $y=5\cos(2x-\pi)+3$  

What is the vertical shift for $y=4\cos\frac{1}{2}\left(x+\pi\right)-2$  ?

• up 2

• left 2

• right 2

• down 2

What is the phase shift for $y=4\ \cos\frac{1}{2}\left(x+\pi\right)-2?$  

• left $\frac{\pi}{2}$  

• right $\frac{\pi}{2}$  

• right $\pi$  

• left $\pi$  

What is the period for $y=4\cos\frac{1}{2}\left(x+π\right)-2?\$  

• pi/2

• pi

• 3pi

• 4pi

What is the amplitude for $y=4\cos\frac{1}{2}\left(x+\pi\right)-2?$  

• 2

•  $\frac{\pi}{2}$  
  

•  $\pi$  
  

• 4

What is the equation of the graph?

• y = 2 cos x

• y = sin x

• y = 2 sin x

• y = sin 2x