Writing Equations from Sine and Cosine Curves

Sine or Cosine?

• y=sinx
• y=cosx

Tags

CCSS.HSF-IF.C.7E

The __________ represents half the distance between the max and min of a sine or cosine graph. 

• Period
• Frequency
• Extreme Values
• Amplitude

Tags

CCSS.HSF-IF.C.7E

What is the domain and range of y=sinx?

• D: (-∞, ∞)
  R: [-1, 1]
  
• D: (-∞, ∞)
  R: [-π, π]
• D: (∞, -∞)
  R: [-1, 1]
  
• D: (-∞, ∞)
  R: [-∞, ∞]
  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

CCSS.HSF.TF.A.2

What is the amplitude of the graph? 

• 1
• 3
• 6
• 9

Tags

CCSS.HSF-IF.C.7E

Calculate the period of the curve

•  $4\pi$  
  

•  $2\pi$  
  

• 2

• 0

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Calculate the period of the curve

• $4\pi$

• $2\pi$

• 1

• -1

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Phase shift means ...

• An up or down movement
• A left or right movement
• Height of graph
• ...set Phasers to stun

Tags

CCSS.HSF-IF.C.7E

What is the equation of the graph?

•  y = 2 cos x
• y = sin x
• y = 2 sin x
• y = sin 2x 

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

What is the equation of graph? 

• y = sin 5x
• y =  cos 5x
• y = 5 sin x
• y = 5 cos x 

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

What does a negative 'a' value cause?

• A negative amplitude

• A reflection across the y-axis

• No effect

• A reflection across x-axis