Sinusoidal Functions

The amplitude and equation of the midline, respectively, are

• amplitude 1
  midline y = 2
• amplitude 11
  midline y = 19
• amplitude 30
  midline y = 8
• amplitude 38
  midline y = 22

Tags

CCSS.HSF-IF.C.7E

The period of the function
f(x)=2sin(8x −1)+7
to the nearest tenth, is

• 8.0
• 2.0
• 0.4
• 0.8

Tags

CCSS.HSF-IF.C.7E

The largest period of the functions above is

• 5
• 2π
• 12.1
• 0.95

Tags

CCSS.HSF-IF.C.7E

The amplitude of the Australia graph and the amplitude of the Canada graph,respectively, are

• 480 V and 240 V
• 240 V and 240 V
• 480 V and 120 V
• 240 V and 120 V

Tags

CCSS.HSF-IF.C.7E

Which characteristics are different for the two sinusoidal functions shown?

• amplitude and period
• amplitude and midline
• period and y-intercept
• horizontal translation and midline

Tags

CCSS.HSF-IF.C.7E

The sine function that would best describe the graph is

• y =1.5sin(1.05x −10)+10
• y =3sin(300x −10)+2800
• y =600sin(1.05x −10)+2200
• y =300sin(1.05x −10)+2500

Which of the following statements describes how the parameters
y = asin(bx +c)+d
change when a person runs?

• parameters a and b increase
• parameters a and b decrease
• parameter b increases
• parameter a increases

Tags

CCSS.HSF-IF.C.7E

The missing value in the table above

• 2.0
• 5.4
• 4.7
• 2.6

Tags

CCSS.HSF.TF.A.4

If the Ferris wheel is placed on a stand 2 m higher lifting it further from the ground, and no other changes are made, the equation
y = asin(bx +c)+d
would be changed by

• increasing the amplitude of the graph by 2
• increasing the period of the graph by 2
• shifting the graph 2 units right
• shifting the midline 2 units up

The temperature in Calgary, over the course of a year, can be approximated using thesinusoidal function
T(x) =  16.11sin(0.51x −1.75)+9.14
where T represents thetemperature in °C and x represents the number of the month, where January 1st is monthnumber 1, February 1st is month number 2, etc.
The temperature in Calgary on July 1st is

• 24.8⁰C
• 20.8⁰C
• 25.3⁰C
• 16.1⁰C