phase shift

A trig function has an amplitude of 4 and a minimum value of 5.  What is its maximum value?

• 7
• 9
• 11
• 13

Tags

CCSS.HSF.TF.A.4

What is the maximum value of the wave y = 10sin(2x - 20) + 25?

• 10
• 20
• 35
• 30

Tags

CCSS.HSF-IF.C.7E

Which is an equation of the cosine function with an amplitude of 2, period of Π, phase shift of Π/2?

• y= -2cos(x/2 - ∏/4)
• y= 2cos (x/2 + ∏)
• y= 2cos (2x-∏)
• y= -2cos(2x-∏/2)

Tags

CCSS.HSF-IF.C.7E

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

• left pi/2
• right pi/2
• right 2pi
• left 2pi

Tags

CCSS.HSF-IF.C.7E

1.  Determine an equation for this graph:

• y=2csc(x)
• y=csc(x) + 1
• y=2csc(x) + 1
• y= csc(x) + 2

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-IF.C.7E

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

• pi/2
• pi
• 3pi
• 4pi

What is the phase shift for the function
f(x) = -2sin(4x + π) - 1

• π
• 4π
• 2π
• π⁄4

Tags

CCSS.HSF-IF.C.7E

What is the vertical shift for

y = 4 cos(x +π) - 2?

• up 2

• left 2

• right 2

• down 2

Tags

CCSS.HSF-IF.C.7E

Select all the ways to find the amplitude of a function.

• max - min

• mid - min

• max - mid

• (max - min) / 2

• (max + min) / 2