Sinusodial function

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

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

•  $-\frac{2\pi}{3}$  

•  $\frac{2\pi}{3}$  

•  $\pi$  

•  $\pi$  

Tags

CCSS.HSF-IF.C.7E

Find the amplitude of the graph shown.

• 2
• 4
• 6
• 8

Tags

CCSS.HSF-IF.C.7E

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

Which of the following statements is accurate concerning the following function  $f(x)=5+3\sin\left(x-\frac{π}{4}\right)$ ? 

• The vertical shift is 3 units.

• The phase shift is π/4.

• The amplitude is 6.

• The period is π.

Tags

CCSS.HSF-IF.C.7E

Amplitude is best defined as what?

• The frequency.

• The maximum distance of the graph from the midline.

• How loud the function gets.

• How long it takes for the function to repeat itself.

Tags

CCSS.HSF-IF.C.7E

Below is the general form for a sinusoidal equation.  $y\ =\ A\sin\left(Bx\right)+C$  

How do you find the period?

•  $B$  

•  $\frac{2\pi}{B}$  

•  $\frac{B}{2\pi}$  

•  $B\cdot2\pi$  

Tags

CCSS.HSF-IF.C.7E

Below is the general form of a sinusoidal function.   $y\ =\ A\sin\left(Bx\right)+C$ 

What does the letter |A |represent?

• Phase Shift

• Amplitude

• Period

• Vertical Shift

Tags

CCSS.HSF-IF.C.7E

A complete cycle of the function  $y=A\cos\left(Bx\right)+C$  is shown. What is the value of A?

• 12

• -12

• 24

• 8

Tags

CCSS.HSF-IF.C.7E

Below is the general form for a sinusoidal equation.  $y\ =\ A\sin[B(θ−D)]+C$  

How do you find the period?

•  $\left|B\right|$  

•  $\frac{2\pi}{\left|B\right|}$  

•  $\frac{\left|B\right|}{2\pi}$  

•  $\left|B\right|\cdot2\pi$