In the function f(x), x is replaced with 3x.
f(x)=1/2sin(x)−4
What effect does this have on the graph of the function?
A. The graph is vertically stretched by a factor of 1//3.
B. The graph is vertically compressed by a factor of 1/3.
C. The graph is horizontally stretched by a factor of 1/3.
D. The graph is horizontally compressed by a factor of 1/3.

Just took the test, so the answer is...

D. Horizontally compressed by a factor of 1/3

[tex]f(x)=\frac{1}{2}sin(x)-4[/tex] is horizontally compressed by a factor of 1/3 to get [tex]f(x)=\frac{1}{2}sin(3x)-4[/tex]

Option D is correct

Note that:

If a function [tex]f(x)=Asin(x)[/tex] is transformed to [tex]g(x)=Asin(kx)[/tex], it means that the function f(x) is horizontally compressed by 1/k

Relating this rule to the given function [tex]f(x)=\frac{1}{2}sin(x)-4[/tex]

If x is replaced with 3x, the function will become:

[tex]f(x)=\frac{1}{2}sin(3x)-4[/tex]

This means that the graph of  [tex]f(x)=\frac{1}{2}sin(x)-4[/tex] is horizontally compressed by a factor of 1/3 to get [tex]f(x)=\frac{1}{2}sin(3x)-4[/tex]

Learn more on horizontal compression of graphs here: https://brainly.com/question/2938738

During summer vacation Amanda ran a lemonade stand she bought a total of 65 lemons each bottle of lemonade need six lemons how many full batches can she make

The graph shown below displays the change in the average temperature of the world over time.
Which statement is the best description of the association between these variables?
Choose 1 answer:
A: As time went by, the average temperature tended to increase.
B: As time went by, the average temperature tended to decrease.
C: There is no clear relationship between time and average temperature.

Georgia is 7 years younger than 5 times the age of her daughter, Veronica. Veronica will be 14 in 6 years. Part A

Write and evaluate an expression to show Veronica’s age.

Enter the correct answers in the boxes.

HELPPP I NEED TO DO THIS BEFORE 7:00​

State sales tax S is directly proportional to retail price p . An item that sells for 172 dollars has a sales tax of 12.32 dollars. Find a mathematical model that gives the amount of sales tax S in terms of the retail price p . Function: S ( p )

helllllpppppppppp i will brainlist plssssssssss

Darell sets a savings goal each month. After the first two weeks of December, Darell had saved $45.18. To reach his goal that month, he still needed to save $29.82 more.

are they cute ? say yes it’s 100 points

PLEASE HELP IM DYING RN.
WHAT IS X? 6(x+2)=2(x-3)​

1.
a.
- 12.5-(-12)
Noah said the value of this expression is -0.5. Is he correct? Explain or show your reasoning to prove
your answer.

Nathan has a bicycle where the wheels are have a 13 inch radius. He makes two revolutions. How far did he
travel?

Need help please only searious answers.​

What is the value of
3x² + 2y3
when x = -4 and y = -2

Find the difference

Mrs. Larson made 12 pillows from 16 yards of the same fabric how much fabric was used to make each pillow between what two whole numbers does your answer lie

Together, Rahman and Elissa have 120 DVDs. Rahman's collection has 5 times as many DVDs as Elissa's collection. Which
equation can be used to determine the number of DVDs in Elissa's collection?

26 points!!

feet. What is the volume of the box?
A box has a length of 4 feet, a width of 24 feet, and a height of 1
O A 17 cubic feet
OB. 8 cubic feet
O C. 8 - cubic feet
OD. 35 cubic feet

If it took 30 minutes to give out 75 diplomas
last year, how long will it take to give
diplomas to the 90 graduates this year?

the mean age of 5 people ina room is 32 years. A person enters the room.The mean age is now 34.What is the age of the person who entered the room?​

What kind of growth model (pattern) is shown in the table?
X
1
2
3
4.
5
у
5
25
125
625
3,125
square root
linear
expggential
quadratic

how long of a chain Can Jill make by attaching a 13 3/4 inch chain to a 15 2/4 in chain?​

John sells appliances for a living. He sold a
dishwasher for $475. If he makes 20%
commission, how much money will he make?

What is the solution to the equation? 8/2.1 = 15.3 someone plz help

Data on U.S. work-related fatalities by cause follow (The World Almanac, 2012). Cause of Fatality Number of Fatalities Transportation incidents 1795 Assaults and violent acts 837 Contact with objects and equipment 741 Falls 645 Exposure to harmful substances or environments 404 Fires and explosions 113 Assume that a fatality will be randomly chosen from this population. Round your answers to four decimal places. a. What is the probability the fatality resulted from a fall

7. Use the Unit Circle to find the exact value of the trig function,
sin(180°)

how do find the motion rule in dilation?​

A building is 20 feet tall and cast a 12 foot shadow, and a person who is standing right next to the building casts a 3 foot shadow.How tall would the person be?

Consider the equation 4x=8.
Which value could be substituted x to make the equation TRUE?

PLSSS HELPPP DUE SOON ILL GIVE BRAINLESS

1 3 Sophia took home of the pizza that was left over from a party. The amount she took represents of a 8 whole pizza. 3 1 The equation p = can be used to find the number of pizzas p left over from the party. 8 2 How many pizzas were left over? There were pizzas were left over from the party.

​