Trig Practice Phase Shift

 $y=4\cot\left(\theta+\frac{3\pi}{4}\right)$  

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 $y=2\cos\left(4x-\frac{2\pi}{3}\right)$  

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Tags

CCSS.HSF-IF.C.7E

 $y=3\sec\left(x-\frac{\pi}{4}\right)$  

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

• left $\frac{\pi}{2}$ 

• right  $\frac{\pi}{2}$  

• right  $\pi$  

• left $2\pi$  

Tags

CCSS.HSF-IF.C.7E

What is the phase shift for the function $f\left(x\right)=-2\sin\left(4\theta+\pi\right)-1$ ?

•  $\pi$  right

•  $-\pi$  

•  $\frac{\pi}{4}$  left

•  $\pi$  left

•  $-4\pi$  

Tags

CCSS.HSF-IF.C.7E

Select the equation with the following criteria:
Reflection over x-axis
Amplitude = 6
Period = 2
Phase Shift left 1 unit
Vertical Shift up 5 units

•  $y=-6\cos\left(2x\ +\ 2\right)\ +5$  
  

•  $y\ =-6\sin\left(x+1\right)\ +\ 5$  

•  $y=-6\sin\left(2\pi x\ +\ 2\pi\right)\ +5$  
  

•  $y=-6\cos\left(\pi x+\pi\right)\ +\ 5$  

Tags

CCSS.HSF-IF.C.7E

Select the equation with the following criteria:

Amplitude = 2
Period = π/2
Phase Shift = π/4 to the right
Vertical Shift down 3 units

•  $y=2\sin\left(4x-\pi\right)-3$  
  

•  $y=-2\cos\left(2x-\frac{\pi}{2}\right)-3$  

•  $y=2\cos\left(x-\frac{\pi}{2}\right)-3$  
  

•  $y=2\sin\left(2x+\pi\right)-3$  

Tags

CCSS.HSF-IF.C.7E

Which equation does the graph represent?

•  $y=\sin\left(x+\frac{\pi}{4}\right)+2$  

•  $y=\cos\left(x-\frac{\pi}{4}\right)\ +2$  

•  $y=\cos\left(x-\pi\right)+2$  
  

•  $y=\sin\left(x+\frac{\pi}{2}\right)+2$  

Tags

CCSS.HSF-IF.C.7E

8. What is the period for y = 4cos(¹/₂x -π) - 2?

• pi/2

• pi

• 3pi

• 4pi

What is the vertical shift for

y = 4 sec(x +π) - 2?

• up 2

• left 2

• right 2

• down 2