Which set of transformations is needed to graph f(x) = -0.1cos(x) - 4 from the parent cosine function?

reflection across the y-axis, vertical compression by a factor of 0.1, vertical translation 4 units up

reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down

vertical stretching by a factor of 0.1, vertical translation 4 units down, reflection across the y-axis

vertical stretching by a factor of 0.1, vertical translation 4 units up, reflection across the x-axis

Answers

Answer 1

Answer:

The correct option is;

Reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down

Step-by-step explanation:

The given function is f(x) = -0.1·cos(x) - 4

The parent cosine function is cos(x)

Therefore, f(x) = -0.1·cos(x) - 4 can be obtained from the parent cosine function as follows;

The negative sign in the function gives a reflection across the x-axis

The 0.1 factor of the cosine function gives a compression of 0.1

The constant -4, gives a vertical translation 4 units down

Therefore, the correct option is a reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down.

Answer 2

Answer:

✔ vertical compression by a factor of 0.5

reflection across the y-axis

✔ vertical translation 3 units down

vertical stretch by a factor of 0.5

✔ reflection across the x-axis

vertical translation 3 units up

vertical translation 0.5 units down

or A.), B.), and D.)

The function rule y = –0.5cos(x) – 3 describes graph

✔ c shown.


Related Questions

A cleaning mixture requires 5 cups of water for every 2 cups of solution which ratio of cups of water to cups of solution will make the same cleaning mixture?
a. 15:6
b. 8 :20
c. 60;18
d. 20:14

Answers

Answer:

a.15.6

Step-by-step explanation:

simplify all the ratios to their simplest forms.

15/3:6/3

5:2

I FORGOT HOW TO DO THIS I NEED HELP ASAP!!!

Answers

Slope form: y=mx + b
slope is 2/5, fill into equation
Y = 2/5x + b
Plug in point to find b
1 = 2/5(0) + b
1 = 0 + b, b = 1
The answer is A. Y = 2/5x + 1

If in the 1980's about 60 million families had Tv's in their homes and in 2015 there was almost 100 million families that had Tv's in their home how many more Tv's were there in 2015?

Answers

Answer: 40 million

Step-by-step explanation:

Number of families that had TVs in their home in 1980s = 60 million

Number of families that had TVs in their home in 2015 = 100 million

To calculate the increase in TVs that were there in 2015, we subtract the number of families that had TVs in their home in 1980s which was 60 million from the number of families that had TVs in their home in 2015 which was 100 million. This can be expressed as:

= 100 million - 60 million

= 40 million

Answer:

it would be 1950 and 45 million

Step-by-step explanation:

1 1/9 x 3 5/10


Please educate me this basic knowledge because I’m so stupif

Answers

Make them all fractions
10/9 * 35/10 = 350/ 90
35/9 = 3.89
The answer would be 11/6 or 1.83 or 1 5/6

Find the 81st term of the arithmetic sequence 24, 11, -2, ...24,11,−2,

Answers

Answer:

-1029

Step-by-step explanation:

24, 11, -2...

f(n) = 24 - 13n

f(81) = 24 - 13(81) = 24 - 1053 = -1029

Write an inequality to equal y < -5

Answers

Answer:

2y - 3 < -13

Hope this helps

Solve the equation for y , (REDUCE IF POSSIBLE, AND WRITE YOUR ANSWER IN THIS FORM; y=mx+b).

−6x+y=18

Answers

Answer:

y=6x+18

Step-by-step explanation:

add the -6x to the other side to get y alone

Answer:

-6x + y = 18 reduced is -2x + y = 2

Step-by-step explanation:

it is called the Hamber Pickering Formula according to STUIPDPEDIA LOL!

I could really use your help:)

Answers

Answer:

Question 1: -3 and 6 in that order

Question 3: 3 and y=1/2x+3 in that order

Question 2: 2 and y=2x+4 in that order

Step-by-step explanation:

:)

7th grade math
please help, I will give brainliest
-19 = -2/3 x
find the value of x

Answers

Answer:

-19=-2/3x

3*-19=-2x

-57=-2x

-57/-2=x

57/2=x

x=28.5

Step-by-step explanation:

Answer:

x = [tex]\frac{57}{2}[/tex]

Step-by-step explanation:

Given

- 19 = - [tex]\frac{2}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )

- 57 = - 2x ( divide both sides by - 2 )

[tex]\frac{-57}{-2}[/tex] = x , that is

x = [tex]\frac{57}{2}[/tex]

Fill out the following data table using the equation y=3x-5

Answers

You should put this into a graphing calculator! They have an option to put the equation in and it shows you the table that goes with it!

In a survey of 2,200 people who owned a certain type of​ car, 880 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?
*blank*% of the people surveyed were satisfied with the car.

Answers

40%, divide 880 by 2200 and multiply by 100

40%, of the people surveyed, were satisfied with the car.

What is the percentage?

The ratio of two numbers that has no dimensions is what is known as a percentage. It may be used to determine how much one number exceeds another when comparing two figures, or it is used to compare the two statistics to a uniform grid.

The information that is provided is

The total number of people who are present is 2200

The number of people who are ready to buy that certain type of car is 880

The percentage of people who will be happy to buy that type or model of car is

= (880 / 2200) * 100

= 0.4 * 100

= 40%

Therfore the answer will be 40%.

Learn more about percentage, Here:

https://brainly.com/question/29306119

#SPJ2

Fernando is starting a new sales job and needs to decide between two different salary plans. For Plan A, he will earn $100/week plus 15% commission on all sales. For Plan B, he will earn $150/week plus 10% commission on all sales. For what amount of weekly sales are the two plans equal?

Answers

Answer:

At 10 weeks

Step-by-step explanation:

100+15x=150+10x

15x=50+10x

5x=50 divided both sides by 5 and x=10

It takes Ryan 1 5 of an hour to bike from home to school. His biking speed is 10 mph.

How far apart are his school and his house?

Answers

Answer:

2

Step-by-step explanation:

1/5*10

Round 25.395 to the nearest hundredths.

Answers

Answer:

25.40

Step-by-step explanation:

Answer:

25.40

Step-by-step explanation:

5 rounds up but 9 rounds up to ten so you add one to the tenths

Mr. Johnson has a piece of pipe 5 1/3 feet long. He decides to cut it into 3 equal pieces to use in making a railing for his porch. How long should he cut each piece?

Answers

Answer: 1.78 repeating

Step-by-step explanation:

Answer:

1 7/9

Step-by-step explanation:

Hope this helps. Pls give brainliest.

PLLLLSSS HELLPP
Use the substitution method to solve the system of equations.
8x + 5y = 9
y = x + 7

Answers

Answer:

point form: (-2,5)

Step-by-step explanation:

8x + 5y = 9

y = x + 7

sub. y into the first one

8x + 5(x + 7) = 9

8x + 5x + 35 = 9

13x + 35 = 9

solve for x

13x = -26

x = -2

solve for y

y = x + 7

y = -2 + 7

y = 5

Answer: I believe the answer would be (-2, 5) Hope this helped!

Why is the function below called a rational function?

f(x) =x+3
——
x-2

Answers

a rational function is any function which can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials

Is this true or false? Pls help a dumb person out

Answers

it shows that the chart is false. Hope it helps

Alexa has $60 already saved and her sister Susan has $120 already saved. Alexa is saving $7 per week and her sister is saving $5 per week. How long will it be before Alexa and her sister have the same amount of money? Write an equation and solve.
Step 1: Define your variable

Step 2: Write an equation.

Step 3: Solve your equation.

Step 4: Check your solution.

Step 5: Write a summary statement explaining your solution in the context of the problem..
Plz help mee

Answers

Step 1:

The variable is the number of weeks needed to equalize Alexa and her sisters savings.

Step 2:

7x + 60 = 5x + 120

Step 3:

7x+60=5x+120

Subtract 60 from both sides.

7x+(60-60)=5x+(120-60)

7x=5x+60

Subtract 5x from both sides

7x-5x=5x+60-5x

2x=60

Divide both sides by 2.

2x/2 = 60/2

x=30

Step 4:

7(30) + 60 = 5(30)+ 120

210+60=150+120

270 = 270

Step 5:

To find the unknown amount of weeks, you need to rewrite the equation isolate x on the left-hand side of the equation. I just subtracting/simplified the equation until I could solve it.

(tbh got stuck on this one)

i need help plzzzzsww​

Answers

it's the third one, slope -1 y intercept 3

how do i solve for c 0.2(c - 3)= -10

Answers

Answer: c = -47

Step-by-step explanation:

1. Divide both sides

2. Move the constant to the right

3. Calculate

Answer:

c = -47

Step-by-step explanation:

Here's how!

0.2(c - 3) = -10 (distribute 0.2 to c and -3)

0.2c - 0.6 = -10 (add 0.6 to both sides)

0.2c = -9.4 (divide by 0.2 on both sides)

c = -47

Plug in

0.2(-47 - 3) = -10 (add -47 and -3)

0.2(-50) = -10 (distribute)

-10 = -10

Hope this helps!!

Adam is d years old and Brandon is b
old and Brandon is b years older than Adam.
In how many years will Brandon be twice as old as Adam is now?

Answers

Answer:

-b years from now

Step-by-step explanation:

The age of Adam = d

The age of Brandon = b

The number of years Brandon is older than Adam = b

Therefore;

b = d + b

∴ d = 0

Therefore, Brandon will be twice as old as Adam is now when Brandon is 2 × 0 = 0 years

The number of years before Brandon will be twice as old as Adam is now  = 0 - b = -b years from now

You and a friend are paid $38.25 for doing yard work.
You worked 2.5 hours and your friend worked 2 hours.
You split the money according to the amount of time
each of you worked.
How much money did you make in an hour?

Answers

$38.25 divided by 4.5 hours = $8.50 an hour
I must’ve made $21.25 total and my friend made $17
Therefore, I made $8.50 an hour.

Given g(x) =
1/4(15 - x)^2
what is the value of g(7)?

Answers

Answer:

16

Step-by-step explanation:

Substitute (7) into the equation.

y= 1/4(15-(7))^2

Can someone simplify8x + 5x please

Answers

Answer:

13x

because you would comibne like terms, so you add the 8 and 5.

Answer:

x=0

Step-by-step explanation:

Simplifying

8x + 5x = 0

Combine like terms: 8x + 5x = 13x

13x = 0

Solving

13x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '13'.

x = 0

Simplifying

x = 0

54÷6+0.42×(9×8÷2+82)

Answers

Answer:

58.56

Step-by-step explanation:

Answer: 58.56
Solving Steps:

If amna bought 1/3 pounds of sausages on Sunday and 2/5 of Turkey on Monday. How much more Turkey did she buy ?

Answers

Answer:

1/15

Step-by-step explanation:

1/3=5/15

2/5=6/15

6/15-5/15=1/15

PLEASE GIVE BRAINLIEST

Answer:

Amna bought 1/15 pounds of turkey more on Monday than she bought on Sunday.

Step-by-step explanation:

Turkey bought on Sunday = 1/3 pounds

Turkey bought on Monday = 2/5 pounds

2/5 - 1/3

= 6/15 - 5/15

= 1/15

(-11,9), (5,0)
Find the slope of the line through each pair of points

Answers

Answer:

slope = -9/16

Answer:

-9/16

Step-by-step explanation:

I attached a picture of what to do

5,3,1,2,3,2,4,2,1,6,3,4,3,6 what is the mode to this data

Answers

the answer is three.

Answer:

the mode is 3.

Step-by-step explanation:

when organized, it's in this order:

1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 6, 6

the most repeated number in the dataset is 3.

PLEASE HELP ASAP GIVING 15 POINTS AND MARKING BRAINLIEST THE FIRST PHOTO IS THE GRAPH THE SECOND IS THE ANSWER CHOICES PLEASE HELP!!!

Answers

What graph??????????
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