Key Features of Sinusoidal Functions

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.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

What is the amplitude? 

• 1
• 2
• 3
• 4

Tags

CCSS.HSF.TF.B.5

In the equation $y\ =\ \frac{1}{3}\cos\left(\frac{1}{2}x+\frac{\pi}{3}\right)$  , what is the phase shift?

•  $-\frac{2\pi}{3}$  

•  $\frac{2\pi}{3}$  

•  $\pi$  

•  $\pi$  

Examine the equation  $y=-\cos\left(x-\frac{\pi}{4}\right)+2$  and the graph above. Does the graph represent the equation?

• Yes

• No

• Maybe

• What Graph?

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

Find the amplitude of the graph shown.

• 2
• 4
• 6
• 8

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.B.5

Find the period of the graph shown.

• 2
• 4
• 6
• 8

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Which equation represents the graph?

• y = cos x – 3
• y = sin x – 3
• y = cos (x – 3)
• y = sin (x – 3)

Which function has a period of 2?

• y = sin x
• y = sin (π x)
• y = sin (2x)
• y = 2 sin x

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Which equation describes the graph shown?

• y = cos (4x) + 4

• y = 4 cos (0.5x)

• y = sin (2x) + 4

• y = 4 sin (0.25x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.TF.B.5