Sinusoidal 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

Which equation represents the graph?

• y = cos x – 3

• y = sin x – 3

• y = cos (x – 3)

• y = sin (x – 3)

Which line is y=2sinx

• Black

• Blue

• Red

What is the period of y = 2cos(4x)-5

• π/3

• 6π

• 2π/3

• π/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

At a pier, scientists measure the depth of the water according to the tides.  At high tide, the water depth is 8 feet.  At low tide, 6.2 hours later, the depth is 5 feet.  Use the equation to predict the depth after 4 hours.

• 4 feet deep

• 5.84 feet deep

• 5.42 feet deep

• 4.98 feet deep.