1.

(05.07 MC) The table provides various values, including select minimums and maximums, of a particular cosine functionf(x).

Angle		- 3/4	- /2	- /4	0	/2
f(x)	2	1	4	1	2	4	2

What is the period of the function that contains these points? (2 points)

A	/4
B	/2
C
D	2

2.

(05.07 MC) What transformation is required to obtain the graph of the functionf(x) = 8cosxfrom the graph ofg(x) = cosx?(2 points)

A	Horizontal stretch by a factor of 8
B	Vertical stretch by a factor of 8
C	Horizontal shrink by a factor of 1/8
D	Vertical stretch by a factor of 1/8

3.

(05.07 MC) Which of the following functions has an amplitude of 3 and a phase shift of/2

A	f(x) = 3cos(2x ) + 4
B	g(x) = 3cos(2x+ ) 1
C	h(x) = 3cos(2x - /2) + 3
D	j(x) = -2cos(2x + /2) + 3

4.

(05.07 MC) A theme park guest takes an innertube into the wave pool. The innertube moves up and down in a way such that the height h of the innertube, in meters, above the floor of the pool can be modeled by the functionh=asinbx+ 5. When the wave pool is turned on, the innertube's height fluctuates between 2 meters and 8 meters, with an interval of 12 seconds between maximums. Based on the context of the problem, what are the values ofaandb?(2 points)

	a= 3 and b= /12
	a= 3 and b = /6
	a= 6 and b = /12
	a= 6 and b = /6

5.

(05.07 MC) The distance from the ground of a person riding on a Ferris wheel can be modeled by the equationd= 30sin(/40 t) + 20, wheredrepresents the distance, in feet, of the person above the ground aftertseconds. How long will it take for the Ferris wheel to make one revolution?(2 points)

A	30 seconds
B	40 seconds
C	80 seconds
D	20 seconds