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

HELP ASAP!!!!!! AND NO LINKS!!! The Utah Bees discounts tickets 30% for students 14 or younger. If adult tickets cost $23, how much will a student ticket cost after being discounted? Round to the nearest cent if necessary.

Answers

Answer:

$6.90

Step-by-step explanation:

30/100 = x/23

100x = 690

x= $6.90

???Anyone knows answer??

Answers

Answer:

30feet

Step-by-step explanation:

I don't know the requirement to get full mark but can work through the equation but:

The man is creating a small triangle as information about the small triangle is given. The small triangle is a miniature size of the bigger triangle. So,

let x be the height of the tree

6/4=x/20

6/4*20=x

x=30 feet

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

Write an equation to represent the situation: Last summer, Gary trained 14
more dogs than Zina. Together they trained 82 dogs. How many dogs did Gary train?

Answers

Answer:

A. g + (g + 14) = 82

Bonus: Gary trained 48 dogs. Triana trained 34.

Step-by-step explanation:

Since Gary trained 14 MORE dogs, anything with a minus sign is definitely wrong. As a result, B & C are eliminated. D is also eliminated because that simplifies to 2g + 28 = 82, which signifies Gary trained 28 more dogs, which is not true. That leaves A as our answer.

g + g + 14 = 82

Combine g & g to get 2g.

2g + 14 = 82

Subtract 14 from both sides.

2g = 82 - 14

2g = 68

Divide both sides by 2.

g = 68/2

g = 34

With that, we now know Triana trained 34 dogs. Add 14 to that, and you get 48 dogs, which is how many Gary trained.

pLEASE HELP I'LL GIVE BRAINLIEST

Answers

Hope it helps you......

Ms. Hernandez takes 56 students to the museum. Some of the students travel in a van and some travel on a bus. Going to the museum, the ratio of students in the van to students on the bus is 2 : 5 Going back to school, 2 students move from the van to the bus.​

Answers

Answer:

I think we are missing part of the question.

But if it's looking for how many students rode the bus and van on the way to the museum when the ratio was 2:5, it's 16 students in the van and 40 students in the bus.

On the way home, it was 14 students in the van and 42 students in the bus,   the ratio changes to 1:3

A spinner with 20 equal-sized sections has 5 red, 10 blue, 3 green, and 2 yellow sections. Ann pays $10 to spin the spinner. If she spins a yellow, she wins $20; if she spins green, she wins $15; otherwise, she loses.She plays the game twice. What is the expected payoff for her games?

Answers

Answer:

The expected payoff for Ann is that she loses the game

Step-by-step explanation:

The expected payoff for Ann is that she loses the game, this is because only 5 out of the 20 sections allow Ann to win money, this is only 25% of the spinner. Meaning that 75% of the spinner will cause Ann to lose the game. Rolling two times increases the odds that she will lose the game. Since the greatest probability is that Ann will land on a section that causes her to lose the game, then this is the expected payoff.

A consumer magazine rates televisions by identifying two levels of price, four levels of repair frequency, three levels of features, and three levels of picture quality. How many different ratings are possible?​

Answers

Answer:

72 different ratings

Step-by-step explanation:

To find how many different ratings there are, multiply all the factors together.

2 * 4 * 3 * 3 = x

8 * 9 = x

x = 72

72 different ratings

help me plz it’s due rn

Answers

Answer:

x= 8/12 or x = 18/12

Step-by-step explanation:

Nancy watches her dad fix a broken chair with a nail and a hammer, but she finds the hammering sound too loud. So, she decides to go back to her room, which is next door. On entering her room, she finds the hammering does not sound as loud. Why does the sound become faint?

Answers

Answer:

The sound of hammering becomes fainter as Nancy goes into her room because some of the sound waves are absorbed by the walls. Only part of the sound waves coming from the other room comes into her room, so the hammering sounds quieter.

I hope this helps. Good luck ^^

PLEADE HELP I WILL MARK YOU AS BRAINEIST

Answers

Answer:

83

Step-by-step explanation:

a = 25

The biggest angle is (3a+8) = 83

Answer:

83

Step-by-step explanation:

(3a+8)+(60-a)+(4a-38)=180

combine like terms, 6a+30=180

inverse operation to isolate the variable, 6a=150

divide six on both sides, a=25

replace a in every expression, 3(25)+8=83

60-25=35

4(25)-38=62

83 is biggest out of the three, therefore 83 is the answer.

solve by subsution 10x=4 2x+y=-24

Answers

Answer:

big shaq

Step-by-step explanation:

Is (2,21) a solution for y=7x? No Yes​

Answers

Answer:

No

Step-by-step explanation:

y=7x

21=7(2)

21=14

It is not since the values are not equal.

Brainliest? :o

No, the pair of coordinates (2,21) is not a solution for the equation; y=7x

Solution of an equation

According to the question;

The pair of coordinates given is (2,21).

Hence, by testing the coordinates in the equation; y=7x, we have;

21 = 7(2)

21 = 14.

Hence, since the equation above is not true, the pair of coordinates is not a solution of the equation.

Read more on solution of an equation;

https://brainly.com/question/1397278

Can you help me . Answer truthfully please I would really appreciate it.

Answers

Answer:

D must be the answer

Step-by-step explanation:

A store sells a television for $1000. There are two payment options. Which option is better? ( PLS HELP!! I'M RLY STRUGGLING!! :< )

Answers

One of the options is $500+$500

What are the solutions to this equation?
7.
D
17
-1
There are no solutions.

Answers

Answer:

Whats the equation?

Step-by-step explanation:

If you attach a pic maybe I can help!


what is the equation of the following line please help if u can

Answers

Answer:

B I believe

Step-by-step explanation:

every time the line hits a point you go up 1 and over 4

simplify (3x^2 y^5)^4

Answers

Answer:

Step-by-step explanation:

Equation is below

Step 1

(3x^2 y^5)^4  

Step 2

(3x^2 y^5)^4  Simplify

81x^8y^20

Step 3

81x^8y^20  check

Answer

81x^8y^20

Hope this helped

The cafeteria bought 200 French bread pizzas for lunch next week. If they had bought the pizza last week while it was on sale, it would only have cost $ 2.00 per pizza. Now, 7 days later, the price is $ 3.78 per pizza. How much money could they have saved if they bought the pizza last week?

Answers

Answer:

$356

Step-by-step explanation:

To solve this problem, use this: (200 * 3.78) - (200 * 2)

(200 * 3.78) - (200 * 2)

200 * 3.78 is the same as 2 * 378, which is 756.

756 - (200 * 2)

200 * 2 is the same as 4 * 100, which is 400.

756 - 400

Subtract 400 from 756 to get 356.

356

If they brought the pizza last week, the school could have saved $356.

Stephanie will be representing her school at the district track meet in the 200 meter race. She has kept records of her last 5 races. What is the mean absolute deviation of her races? Round your answer to the nearest tenth.RaceTime (seconds)123.6225.1324.8422.9524.2Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

119.816

Step-by-step explanation:

Given the data :

123.6, 225.1, 324.8, 422.9, 524.2

Mean absolute deviation (MAD) :

Σ|x - m| / n

m = mean = ΣX / n

n = same size = 5

m = 1620.6 / 5 = 324.12|

[|123.6 - 324.12| + |225.1 - 324.12| + |324.8 - 324.12| + |422.9 - 324.12| + |524.2 - 324.12|] / 5

= 119.816

please help me!!!!!!

Answers

Answer:

(2)

Step-by-step explanation:

mean: (13+15+17+17+17+20+27)/7=18

median: 17

mode: 17

A computer game company conducts a survey of random sample of customers to determine their favorite type of game. The results of the survey are shown below based on the survey results how many customers are expected to prefer fantasy games out of the 1,000 customers?

Answers

Answer:

1.6% of customers

Step-by-step explanation:

What is the equation of the line that passes through the point (6,6) and has a slope of 5/3??​

Answers

Answer:

y = 5/3x - 4

Step-by-step explanation:

(6, 6)

m = 5/3

Slope-intercept:

y - y1 = m(x - x1)

y - 6 = 5/3(x - 6)

y - 6 = 5/3x - 10

y = 5/3x - 10 + 6

y = 5/3x - 4

1. A new book bag costs $45. If it is on sale for 25% off and a tax of 7%, how much would it
cost?

Answers

Answer:

I believe it would be $31.39

Step-by-step explanation:

Original Price - $45

Price With Sale And Tax $31.39

Hope that helps!

a football team gains 9 1/2 yards on their first play then lose 10 yards for a penalty they lose 5 yards and then gain 7 yards on the next two plays what is the teams overall gain or loss and did rhey make a first down (10+ yards)?

Answers

Answer: No

Step-by-step explanation: Because if the team lost 10 yards from 9 1/2 then they would be negative yards if they lose 5 yards they will have 5 1/2 and if they gain 7 yards their total will be 1.5 so they never made it to 10+ yards.

I HELP NEED ASAP PLZ HELP ME

Answers

Step-by-step explanation:

hope it helps.........

Answer:

The answer is 6.

Step-by-step explanation:

All you need to do is turn 33 and 44 into a fraction ([tex]\frac{33}{44}[/tex]). Then you need to simplify it and it's simplest form is [tex]\frac{3}{4}[/tex]. then you up the fraction to [tex]\frac{6}{8}[/tex] and that's your answer.

Someone please help with all this. Show working out as well! Will mark as brainliest.
Thanks

Answers

9514 1404 393

Answer:

  a) k = -19

  b) P(x) = (5x +1)(3x -1)(2x -1)

  c) x = {-1/5, 1/3, 1/2}

  d) see attached

  e) no; P(-1) = -48

  f) see attached

Step-by-step explanation:

a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:

  1 + (10 +k)/9 = 0

  (10 +k)/9 = -1 . . . . . subtract 1

  10 +k = -9 . . . . . . . .multiply by 9

  k = -19 . . . . . . . . . . subtract 10

For (3x -1) to be a factor, the value of k is -19.

__

b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...

  P(x) = (5x +1)(3x -1)(2x -1)

The linear factors can also be obtained by finishing the factoring of ...

  P(x) = (3x -1)(10x^2 -3x -1)

The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).

So P(x) = (3x -1)(5x +1)(2x -1).

__

c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.

__

d) See the attachment for a graph

__

e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).

__

f) See the attachment.

HELP HELP HELP HELP

Answers

Answer:

24

Step-by-step explanation:

help me just

plz

hmmm

or let me die

Find x and y ( please explain )​

Answers

Answer:

y = 75°

Step-by-step explanation:

y and 105°

are on a straight line ,

a straight line is 180°

180 - 105 = 75°

y=75 °

I'm not sure about x hope you understand

Consider the function: h(x) = 11 - 3x What is h(-2) ?​

Answers

Answer:

17

Step-by-step explanation:

11-3x

11-3(-2)

11+6

Hence, 17

Hope it helps!

The evaluation is 17 when h(-2) of h(x) = 11-3x.

What is a function?

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co domain, and domain for every function.

The given function is

h(x) = 11-3x

when x = -2

h(-2) = 11-3(-2)

       = 11 + 6

        = 17.

Therefore, the h(x) = 11-3x is 17 when x = -2

To learn more about the function;

brainly.com/question/28303908

#SPJ2

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