Which transformations are needed to change the parent cosine function to y = 3 cosine (10 (x minus pi))?

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

New function: [tex]y = 3 \cos(10 (x -\pi))[/tex]

We can assume the parent function to be:

[tex]y = \cos (x)[/tex]

The new function can be represented as:

[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex]

Where

A = Vertical stretch factor

B = Period

C = Right shift

By comparison:

[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex] to [tex]y = 3 \cos(10 (x -\pi))[/tex]

[tex]A = 3[/tex]

[tex]c = \pi[/tex]

[tex]\frac{2\pi}{B} = 10[/tex]

Solve for B

[tex]B = \frac{2\pi}{10}[/tex]

[tex]B = \frac{\pi}{5}[/tex]

Using the calculated values of [tex]A,\ B\ and\ c.[/tex] This implies that, the following transformations occur on the parent function:

Vertically stretched by [tex]3[/tex]Horizontally compressed by [tex]\frac{\pi}{5}[/tex]Right shifted by [tex]\pi[/tex]

Related Questions

which graph represents the function y=2/3x-2?

Answers

I think this is it.

2x+3=4x(3x-5)
what is the value of x

Answers

Answer:

X=11+ √157/12

x= 11-√157/12

Step-by-step explanation:

2x+3=12x^2 -20x

Move all terms to one side.

2x+3−12x2+20x=02x+3−12x ^2+20x=0

Simplify  

22x+3−12x^2=0

Use the Quadratic Formula.

a= -12

b= 22

c= 3

Just use photomath loll


Can u please help me

Answers

7.48 unless you need it rounded up to 7.5

Someone please help me, write a variable equation to represent the situation, and solve it by using inverse operations.

Three times the difference between a number and six is eighteen.

Answers

Pls be careful when clicking on links they seem unsafe

HELPPP hurryyy please

Answers

Answer:

C) x < 6

Open circle is no line under, closed circle has a line under.

The arrow also goes left so x must be less than 6

is 11 1/3 greater than 34/3

Answers

Answer:

Equal

Step-by-step explanation:

The two terms are equal.

When you convert 11 1/3 into an improper fraction, it is 34/3.

What is the measure of ZZYW in rhombus WXYZ?
779
w
Z
O A 38.5
OB 51.5
D103

Answers

Answer:

A. 38.5

Step-by-step explanation:

Since the angles <XWZ and <XYZ are congruent, <ZYW is just half of <XYZ, so you would just divide 77 in half to get your answer. It's a rhombus, so it works similarly to a square. If one side is congruent, the other is too.

Michael left home at 1400 and arrived at his uncle’s home at 1830. What will be the
average speed of his journey if he travelled 108 km?

Answers

Step-by-step explanation:

Michael's Journey Time = 4 hours and 30 mins

=

[tex]4.5hours[/tex]

Speed = Distance ÷ Time

Given Distance = 108km

Time = 4.5 hours

Speed =

[tex] \frac{distance}{time} \\ = \frac{108}{4.5} \\ = 24 \frac{km}{h} [/tex]

My bad the answer is

Answer: 24 kilometers per hour

Which is closest to the area of the figure?

A 96 square units
B 86 square units
C 80 square units
D 72 square units

Answers

D 72 square units..........
It’s D72 square units

help me please ;n; ;D

Answers

Answer:

sure ;D its 12.25 :p

Step-by-step explanation:

A triangle has sides with lengths of 6 meters, 12 meters, and 16 meters. Is it a right triangle?
Formula(a^2 +b^2=c^2)

Answers

Answer:

i'd say so

Step-by-step explanation: none of the sides are the same length as another

what is the vertex of this parabola? I WILL GIVE BRAINLIEST!!!​

Answers

(1, -2)

The vertex is simply the turning point.

2x +10
what does this equal

Answers

Answer:

x=5

Step-by-step explanation:

2x+10

______

2     2

x=5

Answer:

x = 5

Step-by-step explanation:

Step 1: Get the variable alone

Divide x from both sides.

2x + 10

2       2

Step 2: 10 divided by 2

10 divided by 2 equals 5

Answer: x = 5

Match each system of equations to the inverse of its coefficient to the inverse of its coefficient matrix, A^-1, and the matrix of its solution, X.

Answers

Answer: Look st the picture below.

Step-by-step explanation: I got this right on Edmentum.

In the following triangle, find the values of the angles B and B, which are the
best approximations to the solutions to this ambiguous case?
10
8.2
8.2
)45°
B
BY
A. B = 55° or B = 125°
B. B = 67° or B = 102.2°
C. B = 62.4° or B = 117.6°
D. B = 59.6° or B = 120.40

Answers

Answer: option D. B = 59.6° or B' = 120.4°

Step-by-step explanation:

Since the law is a/sinA = b/sinB = c/sinC you can try and verify each of them, by

10/sin(B)=......

and only B = 59.6° or B' = 120.4° give you the closed to 8.2/sin(45)= 11.59655121 which was 11.59401915.

(why the closed? because the question said it is "approximated")

The values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.

What is triangle ?

Triangle is a three sides two dimensional surface having three angles.

We have,

A triangle in which,

One of the angle is 45°, and the side opposite to angle 45° is 8.2 with corresponding angle B.

And the side opposite to angle B is 10.

Now,

Using the law of sine,

i.e.

[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{Sin c}{c}[/tex]

So,

According to the given triangle,

We get,

[tex]\frac{Sin 45^0}{8.2} = \frac{Sin B}{10}[/tex]

We get,

[tex]Sin B=\frac{Sin 45^0}{8.2} *10[/tex]

On solving we get,

[tex]SinB= 59.58^0\ \ or\ \ SinB= 120.42[/tex]

i.e.

[tex]SinB= 59.6^0 \ \ or\ \ SinB'= 120.40[/tex]

So,

The option C is the correct answer.

Hence, we can say that the values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.

To know more about Triangle click here

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HELP HELP HELP !!
use the chart in 4 for 5 pls ! ( DON'T ANSWER QUESTION 4, IT'S 5 )

Answers

Answer: First one is J second is B

Step-by-step explanation:

While making desserts for a bake sale,Paul used 4 scoops of brown sugar as well as 1 1/5 scoops white sugar. How much more brown sugar did Paul use.

Answers

Answer:

3 4/5

380%

3.8

plz can i get brainliest

PLEASE HELP
Lateena solved the equation below. Is her solution correct? Explain why or why not.

Answers

Answer:

it isn't correct

[tex]x {}^{2} - 6x - 7 = 0 \\ d = 36 + 28 = 64 \\ x1 = \frac{6 - 8}{2} = - 1 \\ x2 = \frac{6 + 8}{2} = 7[/tex]

Answer:

her solution isn't correct .

because she had done a slight mistake in her calculation.

i.e.

[tex]\sqrt{16}=4 \:\:not \:\:16[/tex]

Step-by-step explanation:

solution given:

x²-6x-7=0

making it a perfect square

we must make it on the form of (a+b)²or(a-b)²

so

x²-2*3*x+3²-3²-7=0

(x-3)²-9-7=0

(x-3)²-16=0

adding 16 on both aide

(x-3)²=16

doing square root on both side

[tex]\sqrt{(x-3)²}=\sqrt{16}[/tex]

x-3=±4

taking positive

x-3=4

adding 3 on both side

x=7

and.

taking negative

x-3=-4

adding 3 on both side

x=-4+3

x=-1

x=-1 or 7

solve this question step by step on paper
8.1÷4​

Answers

Answer:

2.025

Step-by-step explanation:

https://www.symbolab.com/solver/step-by-step/8.1%5Cdiv4%E2%80%8B

If you are Hispanic what is your most recent favorite novela ? And if you aren't what is your favorite movie?

Answers

Answer:

Step-by-step explanation:

Coco

My fav movie?

Space Jam 2

Prob since I’ma basketball fan :)))

Guys pls help me!!!!!

Answers

Answer:

Fourth

Step-by-step explanation:

This isn’t high school math by the way.

The circled object is number 4 in the sequence of the object, thus, being the fourth object.

The answer is B forth

I need help lol. Please dont give me a random link to download just the answer please.​

Answers

Answer:

(p +1) (4p - 5)

Step-by-step explanation:

1.) Look for 2 numbers that subtract and equal to the middle term (-1)

2.) 4 and 5

3.) 4p^2 +4p-5p - 5

4.) Factor out common factors by grouping the equation by two

5.) 4p(p+1) -5(p+1)

6.) group

7.) (4p - 5) (p+1)

You are considering buying organic milk at the grocery store. A gallon of organic milk costs $1.00 more than a regular gallon of milk. Write an equation to represent the additional cost (C) of buying a gallon of organic mik over time (t) where x represents the cost of a gallon of regular milk​

Answers

Answer:

C= $1t + x

Step-by-step explanation:

So,  an organic gallon of milk is 1 dollar more then regular so the equation starts at $1 + x.

But then buying the organic milk over time is t so you add that to the one dollar since it applies to the organic milk. Now the equation is $1t + x.

But now, the expression we wrote is equal to C so, now the equation is C=$1t + x

HELPPP how do i write an exponential function?!
the table is
x: 0 1 2 3
y: 1 7 49 343

Answers

Answer:

[tex]7^{x}[/tex] or "7 to the power of x"

Step-by-step explanation:

Ok! So an exponential function is a function with a variable as an exponent.

                                         x                             y        

                                         0                             1

                                         1                              7

                                         2                            49

                                         3                           343

                              An example exponential function is [tex]2^{x}[/tex]

Now! Let's look at what number multiplies by each of our "y" values to get the following "y" value. 7!

Now let's see if we can put 7 to the power of x ([tex]7^{x}[/tex]) to get the rest of our table.

                                                       [tex]7^{0}[/tex] = 1

                                                       [tex]7^{1}[/tex] = 7

                                                      [tex]7^{2}[/tex] = 49

                                                      [tex]7^{3}[/tex] = 343

                      Now, we know our exponential function is [tex]7^{x}[/tex]

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

mutiple choice pls help ! ( link = report )

Answers

48 units since the angle is more obtuse and down

Answer:

24 units2

Step-by-step explanation:

Hope it helps !! :)

what is the order of the numbers from least to greatest?

-4, 9, 6, -8, -9
please help! whats the correct order

Answers

Answer:

-9, -8, -4, 6, 9

Step-by-step explanation:

Answer:

-9, -8, -4, 6, 9

Step-by-step explanation:

negatives are less than positives,

Write an expression for the operation described below.
the product of 2 and c

Answers

Answer:

2c or 2 x c

Step-by-step explanation:

Product means multiplication, they put 2 first then c last.

Hope this helps

~R3V0

Dr. Garica is twice as old as his son. Twenty years ago he was 4 times as old as his son was then. How old are they now?

Answers

Answer:

Let's let g = Dr. Garcia's age and s = his son's age.

g = 2s, right?

 

20 years ago, Dr. Garcia was g - 20 years old.  He was also 4(s - 20), 4 times his son's age 7 years ago.

 

g - 20 = 4(s - 20)

g - 20 = 4s - 80

 

In the first equation, we have g = 2s.  We are going to substitute this g into the second equation.

 

2s - 20 = 4s - 80

       60 = 2s

       s = 30

 

So, his son is 30 and Mr. Garcia is 60. 30 x 2 = 60.

 

20 years ago, his son would have been 10 and Mr. Garcia would have been 40.  10 x 4 = 40.

Step-by-step explanation:

Brainliest?

Answer:

Dr. Garcia's age is 60, and his son's age is 30.

Step-by-step explanation:

Let x be Dr. Garcia's age, and y his son's age.

1. Dr. Garcia is twice as old as his son

x = 2 y

2. Twenty years ago, he was 4 times as old as his son was then

x - 20 = 4 (y - 20)

Substitute x in 2 and solve for y:

2 y - 20 = 4 (y - 20)

2 y - 20 = 4 y - 80

- 20 = 2 y - 80

60 = 2 y

y = 30

Put y back into 1:

x = 2 (30)

x = 60

So Dr. Garcia's age is 60, and his son's age is 30.

Take away 8 from 2 times m

Answers

Answer:

Take away 8 from 2 times m

2m - 8


HELPP URGENT!
16. Guests who rent kayaks at a campground must pay an insurance fee and are charged
for each hour they use the kayak. Last year, the total cost for a guest to rent a kayak for
x hours was modeled by the expression 6 + 8x.
This year, the campground doubled the cost per hour for renting a kayak but kept the
insurance fee the same.
Which expression models the total cost for a guest to rent a kayak for x hours at the
campground this year?
A. 12 + 8x
B. 6 + 16x
C. 6 + 4x
D. 3 + 8x

Answers

Answer:

B.

Step-by-step explanation:

I had this question on a test and got it right

The expression models that shows the total cost for a guest to rent a kayak for x hours is 6 + 16x.

What is the model about?

Note that in the question:

Last year = 6 + 8x.

Looking at the equation one can see that the premium is = 6

kayaks  is known to be charging at 8

So we have to double the value which is:

8 x 2 = 16

So therefore, the equation will be:

16x + 6

Therefore, The expression models that shows the total cost for a guest to rent a kayak for x hours is 6 + 16x.

Learn more about expression from

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Which part of your report is supposed to make your readers believe what you say?A. IntroductionB. OutlineC. Evidence D. ConclusionPlease help and be honest What is the slope of the line? Find the value of 4/81 can yall please help me with this last one for today ASAP Point A, located at (-3, -3) is translated 6 units up, resulting in the location of point A'. What other transformation would result in the same location for point A'? A reflection in the x-axis A translation of 6 units to the left A reflection in the y-axis A rotation of 180~I KNOW ITS NOT A REFLECTION IN THE Y-AXIS Plz help asap with explanation and will get the brilliant Qu les sucede a la z, c, y a la s en la pronunciacin? The budget for Department 6 of Cardinal Company for the current month ending March 31 is as follows: Materials $208,000 Factory wages 265,000 Supervisory salaries 67,800 Depreciation of plant and equipment 35,000 Power and light 22,500 Insurance and property taxes 15,500 Maintenance 9,700 During March, the costs incurred in Department 6 of Cardinal Company were materials, $204,000; factory wages, $285,000; supervisory salaries, $63,600; depreciation of plant and equipment, $35,000; power and light, $21,360; insurance and property taxes, $14,400; and maintenance, $9,456.Required:Prepare a budget performance report for the supervisor of Department 6 of Cardinal Company for the month of March. The shrinking of the Aral Sea is a direct result ofEvaporation due to global warmingo redirection of rivers away from it in order to irrigate cropsbuilding a dam which decease the water levelsover fishing of the sea The body makes molecules that can help to destroy harmful viruses and bacteria. These are calledA. AntibodiesB. VaccinesC. HormonesD. Antibiotics how did the supreme courts new jersey v. t.l.o. decision affect civil liberties for u.s. citizens a. it expanded public schools ability to search students without obtaining a warrant.b. it established that students have a right to freedom of speech in public schools.c. it stripped students of fifth amendment protections if they were arrested on school property.d. it restricted teacher-led prayer and general religious expression in public schools. Looking back over the last ten years or so, what was changed in your workplace? What do you think will happen next in your work place 5 years from now? Stephen opens a savings account with an initial deposit of $300.Every month, Stephen will deposit an additional $250 into theaccount from his paycheck. Which function below shows the totalamount of his deposits for x number of months?A. y = 300x + 250B. y = 12x + 550C. y = x(300 + 250)D. y = 250x + 300 Name three ways you can collect responses from forms A faraway planet is populated by creatures called Mizjigs. All Mizjigs areeither black-footed or red-footed and either one-headed or two-headed.Ragon, who lives on this planet, does a survey and finds that her colony of650 contains 120 black-footed, one-headed Mizjigs; 200 red-footed, two-headed Mizjigs, and 300 one-headed Mizjigs. Which simile could replace the literal sentence The store was very crowded with people dashing around?The store was as busy as the desert.The store was as busy as an anthill.The store was a beehive of activity.The store was like the one near it.ill give u brainiest A silo is a composite of a cylindrical tower with a cone for a roof. What is the volume of the silo if the radius of the base is 30 feet, the height of the roof is 12 feet, and the height of the entire silo is 60 feet?147,026.5 ft135,716.8 ft180,955.7 ft169,646.0 ft help no links or i will report and i will give the brainliest to the person who answers first Miranda sold movie DVDs for $12 and television DVDs for $9 and has collected $1167 from the sales of both. The number of movies sold is 4 less than 3 times the number of television shows. How many movie DVDs were sold, and how many television DVDs were sold? Suppose that a small town has seven burger shops whose respective shares of the local hamburger market are (as percentages of all hamburgers sold): 23 percent, 22 percent, 18 percent, 12 percent, 11 percent, 8 percent, and 6 percent. Instructions: Enter your answers as a whole number. a. What is the four-firm concentration ratio of the hamburger industry in this town? percent b. What is the Herfindahl index for the hamburger industry in this town? c. If the top three sellers combine to form a single firm, what would happen to the four-firm concentration ratio and to the Herfindahl index? Four-firm concentration ratio = percent Herfindahl index =