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

Take away 8 from 2 times m

Answers

Answer:

Take away 8 from 2 times m

2m - 8

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

Answers

I think this is it.

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:

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

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


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

https://brainly.com/question/723406

#SPJ6

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

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 :)))


Can u please help me

Answers

7.48 unless you need it rounded up to 7.5

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.

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

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.

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 !! :)

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

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

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

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,

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

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

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

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.

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

https://brainly.com/question/2773823

#SPJ2

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

Answers

(1, -2)

The vertex is simply the turning point.

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

help me please ;n; ;D

Answers

Answer:

sure ;D its 12.25 :p

Step-by-step explanation:

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.

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

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

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)

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

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