Trig Test 7.8 Sin and Cos (Phase Shift and Vertical Shift)

What is the vertical shift for

 $y\ =\ -3\cos\left(4x\ +\pi\right)\ -\ 2$  ?

• up 2

• left 2

• right 2

• down 2

Phase shift indicates ...

• An up or down movement

• A left or right movement

• A reflection over the y-axis

• A change in period

The Vertical shift indicates...

• An up or down movement

• A left or right movement

• change in amplitude

• reflection over the x-axis

What is the phase shift for the function

f(x) = -2sin(4x + π) - 1

• π

• -π

• -1

• -π⁄4

What is the vertical shift for the function

f(x) = 4cos(2x + π) + 8

• right 8 units

• up 4 units

• down 8 units

• up 8 units

Identify the phase shift of:

 $y=-3\cos\left(2x-\ \pi\right)+4$  

•  $\frac{\pi}{2}\$  to the left

•  $\pi\$  to the left

•  $\pi\$  to the right

•  $\frac{\pi}{2}\$  to the right

• A

• B

• C

• D

• A

• B

• C

• D

• A

• B

• C

• D

• A

• B

• C

• D