Review of Transformations of Trig Functions Sin and Cos

Sine or Cosine?

• y=sinx
• y=cosx

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

Sine or Cosine?

• y=sinx
• y=cosx

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

What is the phase shift?
y=-2sin(x-π)

• π left
• π right
• none
• 2π right

What is the phase shift?
y=3cos(2x)

• π
• 2π
• 1/2π
• none

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.TF.B.5

Which function below describes only the following transformations?
Up 3
Right π/6

• 3+cos(x-π/6)
• 3sec(x-π/6)
• tan(x+π/6)-3
• sin3(x+π/6)

Tags

CCSS.HSF.BF.B.3

What is the vertical shift? 

• Down 1
• Down 7
• Down 4
• Down 6 

Tags

CCSS.HSF.BF.B.3

What is the equation of the graph?

• y = - 6 cos x - 1
• y = 3 cos x - 4
• y = -7 cos x 
• y = -3 cos x - 4 

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

• y=6sin(8x)
• y=6sin8(x-1)
• y=6sin1/4x
• y=6sinx

Tags

CCSS.HSF.TF.B.5

Where does the graph of y = cos x begin?

• (0,0)
• (0,1)
• (0, Pi)
• (1, Pi)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the horizontal shift for y = 4cos(2(x +pi)) - 2?

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.TF.B.5