Sinusoidal Functions

Which equation describes the graph shown?

• y = sin x

• y = cos x

• y = –sin x

• y = –cos x

Find the amplitude of the graph shown.

• 2

• 4

• 6

• 8

Find the period of the graph shown.

• 2

• 4

• 6

• 8

Which equation describes the graph shown?

• y = cos (4x) + 4

• y = 4 cos (x/2)

• y = sin (2x) + 4

• y = 4 sin (x/4)

• min: 13ºC

  max: 25ºC

• min: 17ºC

  max: 23ºC

• min: 5ºC

  max: 17ºC

• min: 8ºC

  max: 30ºC

What is the equation of the blue graph?

• y = 2sin x

• y = sin(2x)

• y = sin(x + 2)

• y = sin x - 2

What function is this?

• y=-sin(x)+0.5

• y=sin(x)+0.5

• y=sin(x)-0.5

• y=1.5sin(x)+0.5

The temperature in an office is controlled by an electronic thermostat. The temperatures vary according to the sinusoidal function: y = 5 sin( 90x ) +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

What function is this?

• y=-sin(x)

• y=sin(x)

• y=2sin(x)

• y=0.5sin(x)

Which of the equations matches the graph shown.  

• y = 2sin(x)

• y = 2sin(2x)

• y = 2cos(x)

• y = 2cos(2x)