Quiz1 - Sinusoidal Functions Grade 11 Honors

What is the amplitude of the graph?

• 3

• 2

• -3

• -2

Tags

CCSS.HSF-IF.C.7E

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

D represents what?

(More than one answer may be possible)

• Amplitude

• Axis of the Curve

• Phase Shift

• Vertical Shift

• Horizontal Translation

Tags

CCSS.HSF-IF.C.7E

A section of a rollercoaster is in the shape of a sinusoidal curve shown below. It has a maximum height above the ground of 51 m and a minimum of 1 m. The equation can be written in the form h = Asin(Bd) + C:

What is the value of A?

• -20m

• 50m

• 25m

• 15m

Sine or Cosine?

• y=sinx
• y=cosx

Tags

CCSS.HSF-IF.C.7E

The temperature in an office is controlled by an electronic thermostat. The temperatures vary according to the sinusoidal function:

y = 5 sin( π/12 (x – 11)) +18

where y is the temperature (ºC) and x is the time in hours past midnight. What are the minimum and maximum temperatures in the office?

• 12ºC and 23ºC

• 13ºC and 23ºC

• 5ºC and 18ºC

• 11ºC and 23ºC

2π = _____ degrees.

• 90

• 180

• 270

• 360

Tags

CCSS.HSF.TF.A.2

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.7E

Find the amplitude for
 $f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)$  

•  $\frac{1}{2}$  

•  $\pi$  

•  $\frac{\pi}{2}$  

•  $2$  

Tags

CCSS.HSF-IF.C.7E

Find the vertical shift for
 $f\left(x\right)=2\cos\left(\frac{1}{3}\left(x\right)\right)-1$  

•  $-1$  

•  $0$  

•  $+1$  

•  $2$  

Tags

CCSS.HSF-IF.C.7E

Graph
 $f\left(x\right)=2\cos\left(\frac{1}{3}\left(x\right)\right)-1$  

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E