Sinusoidal Functions

What is the amplitude of the graph?

• 3

• 2

• -3

• -2

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

What is the period of y = 2cos(4x)-5

• π/3

• 6π

• 2π/3

• π/2

Tags

CCSS.HSF.TF.B.5

In the functions f(x)=Asin[B(x + C)] + D,

D represents what?

(More than one answer may be possible)

• Amplitude

• Horizontal Translation

• Phase Shift

• Vertical Shift

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.TF.B.5

How do we find the period of the sinusoidal function below?
f(x) = asin(kx)+d

•  $P=k$  

•  $P=\frac{2k}{\pi}$  

•   $P=\frac{2\pi}{k}$  

•  $P=\frac{d}{2}$  

Tags

CCSS.HSF.TF.A.4

Sine or Cosine?

• y=sinx
• y=cosx

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSG.SRT.C.6

What is the equation of graph? 

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

What is the period of y = 2cos(3x)-5

• π/3 or 60 degrees
• 6π or 1080 degrees
• 2π/3 or 120 degrees
• 3π or 540 degrees

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Find the equation of the midline of the graph shown.

• y = 1
• y = 2
• y = 3
• y = 0

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.B.5

Find the amplitude of the graph shown.

• 2
• 4
• 6
• 8

Tags

CCSS.HSF.TF.B.5

Find the period of the graph shown.

• 2
• 4
• 6
• 8

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5