Trig phase shifts

What is the phase shift for y = 4cos(¹/₂x +π) - 2?

• left pi/2

• right pi/2

• right 2pi

• left pi

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

• y = 5cos(x - pi) + 3
• y = 3cos(x - pi) + 5
• y = 3cos(2x - pi) + 5
• y = 5cos(2x - pi) + 3

Tags

CCSS.HSF.TF.B.5

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

• pi/2
• pi
• 3pi
• 4pi

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

What is the phase shift for the function

f(x) = -2sin(4x + π) - 1

• π right

• 4π

• 2π

• π left

What is the vertical shift for

y = 4 cos(x +π) - 2?

• up 2

• left 2

• right 2

• down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

In the functions f(x)=Asin(Bx + C) + D, D represents what?

• Amplitude

• Midline

• Phase Shift

• Vertical Translation

• Horizontal Translation

In the equation $y\ =\ \frac{1}{3}\cos\left(\frac{1}{2}x+\frac{\pi}{3}\right)$  , what is the phase shift?

•  $\frac{\pi}{3}$  

•  $\frac{2\pi}{3}$  

•  $\pi$  

•  $\pi$  

What is the phase shift of the curve  $y=10\sin\left(2x-20\right)+25$  ?

• -20

• 20

• 10

• -10

 Which is an equation of the cosine function with a period of  $\pi$ & a phase shift of right  $\frac{\pi}{2}$  ?

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

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

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

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

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  $2\pi$  

• left $\pi$