Trig Graph and Modeling Quiz

The midline of a sinusoidal function is also the what?

• The midsection

• The amplitude

• The phase shift

• The vertical shift

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.TF.A.4

CCSS.HSF.TF.B.5

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

What does B represent?

• Phase shift
  

• Frequency

• Amplitude

• Horizontal translation

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.TF.B.5

A section of a rollercoaster is in the shape of a sinusoidal curve shown below. It has a maximum height above the ground of 43 feet and a minimum of 3 feet. The equation can be written in the form h = Asin(Bd) + C:

What is the value of A?

• -20

• 100

• -40

• 20

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.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.B.5

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

•  $\frac{\pi}{4}$  

•  $\frac{\pi}{8}$  

• 8

•  $\frac{8\pi}{3}$  

What are the Amplitude and Period of this sin graph?

• Amp = 3
  Period = $2\pi$

• Amp = 3
  Period = $\pi$

• Amp = 2
  Period = $3\pi$

• Amp = 2
  Period = $2\pi$

• 1

• 2

• 3

• 4

• 1

• 2

• 3

• 4