Sinusoidal Functions

sin 2π/3

• 1/2

• -1/2

• √3/2

• -√3/2

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

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

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

• 8

Which of these equations has an amplitude of 6?

• y=6sinx

• y= -1 + sin6x

• y=sin(x/6)

• y=6 + sinx

The __________ measure the distance from the midline to the max or min of the function.

• Amplitude

• Phase Shift

• Vertical Translation

• Horizantal Translation

Sine or cosine? 

• Sine

• Cosine

Find the vertical shift of y = 2cos(4x)-5

• 2

• 4

• -5

• π/2