Transforming the sin and cos functions

Identify the horizontal and vertical shift for the function  $y=4\sin\left(x-\frac{\pi}{2}\right)+3$  

• left  $\frac{\pi}{2}$ , down 3

• right 4, up 3

• right  $\frac{\pi}{2}$ , up 3

• left 4, down 3

Which formula helps identify the period in the following function

 y = a sin b(x - h) + k?

• $b$

• $\frac{2\pi}{b}$

• $\frac{\pi}{b}$

• $b\times2\pi$

What does a negative A value cause?

• A negative amplitude
• A reflection across the Y axis
• No effect
• A reflection across X axis

Tags

CCSS.HSF-IF.C.7E

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7E

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7E

How has this graph changed compared to y=sin(x)?

• Moved up

• Moved down

• Moved left

• Moved right

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What is the period of this graph?

•  $\pi$  
  

•  $2\pi$  
  

•  $\frac{\pi}{2}$  
  

•  $4\pi$  

How has this graph changed compared to y=cosx?

• Moved up

• Moved down

• Moved left

• Moved right

Tags

CCSS.HSF.BF.B.3

What are the max and min of this function?

 $y=-4\cos\ \frac{1}{3}\left(x+\pi\right)-2$  

• max = 6   min = -2

• max = -2    min = -6

• max = 2   min = -6

• max = 4   min = -4

What is the period of this function?

• 4π
• 2π
• ½π
• ½

Tags

CCSS.HSF.TF.A.4