Quiz - Sinusoidal Functions

What is the amplitude of the graph?

• 3

• 2

• -3

• -2

a) a distance of 30 m from the x-axis

b) a distance of 20m to the right of the y-axis

What is the period of y = 2cos(8x)-5 in degrees?

• 360

• 45

• 70

• 90

In the functions f(x)=Asin(Bx) + D,

D represents what?

• Amplitude

• Vertical Shift

• Phase Shift

• Horizontal Translation

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(Bx) + D:

What is the value of A?

• -20m

• 50m

• 25m

• 15m

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

• 45

• 360

• 90

• 8

Is this a Sine or Cosine graph? Choose the equation that matches the graph.

• y=2sin(3x) + 1

• y=2cos(3x) + 1

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

y = 5 sin(30x) +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?

(Adjust your windows to the values shown)

• 12ºC and 23ºC

• 13ºC and 23ºC

• 5ºC and 18ºC

• 11ºC and 23ºC

True or False: Using the standard function f(x) = asin(bx) + d, in the equation y = 3sin(4x) + 1, the principal axis and value of d are the same.

• True

• False

Which of these is the equation that matches this graph?

• y = sin(x)

• y = 2cos(3x) + 3.5
  

• y = 5cos(45x) + 1

• y = 7.1cos(4x) + 1