Given the function f(x)=x^2 and the transformed function g(x)=4x^2+1, explain how the parent function was transformed.

Answers

Answer 1

Answer:

In the function g(x) = 4x² + 1, 4 means that all the points in the parent function were multiplied by 4. + 1 means that the parent graph will shift up by 1.


Related Questions

circumference of a clock with the radius of 16 centimeters?

Answers

Answer:

100.5309649cm

Step-by-step explanation:

The formula for the circumference of a circle is:

2πr

if the radius is 16cm, we just need to substitute 16 for r:

2π(16)

= 32π

= 100.5309649cm

You can round this however you like, however I would recommend doing either 3 significant figures either 2 or 3 decimals places :)

what are the equivalent fractions of 4/7 and 3/5

Answers

Answer:

3/5= 6/10, 9/15, 12/20, 15/25, 18/30

4/7

= 8/14, 12/21, 16/28, 20/35, 24/42

Step-by-step explanation:

mark me brainliest!!

Hey there!

Remember, equivalent means equal.

So we need to find some fractions that are equal to 4/7 and 3/5.

We can easily do that.

First, let's take 4/7.

Let's multiply the top & bottom by 2:

8/14

4/7 and 8/14 are equivalent.

Let's multiply the top & bottom by 2:

16/28

We can keep multiplying...

Also, there's no reason why we cannot multiply by 3, 4, 5, 6, 7, 8...

In other words, there are infinitely many fractions equivalent to 4/7.

Same with 3/5:

6/10, 12/20...

Hope everything is clear.

Let me know if you have any questions; if so, please ask.

#LearningDoesn'tEnd

[tex]\rule{200}{2}[/tex]

Writing Linear Equations

Answers

Answer:

1.  y=-3x+7

2.  y=3/4x+10

3. y=-5x-2

4. y=12x-6

5. y=1/2x+9

Step-by-step explanation:

for numbers 2, 4, 3, and 5 all you have to do is look at the slope they give you. in a linear equation (y=mx+b) the m is the slope. because there is only one equation with the slope they give you, that is the corresponding answer. but for 1, its a bit more complicated. because they give you a point you have to plug the x value into your equation. for exaple for 1. they give you 0 as the x value so you plug it into one of the equations. and if that equation gives you 7 as the y, then you have your answer.

Suppose f(x) is a function such that if p O f(x) can be odd or even.
O f(x) can be odd but cannot be even.
O f(x) can be even but cannot be odd.
O f(x) cannot be odd or even.

Answers

Answer: f(x) can be odd but cannot be even. I know this because I looked it up, but I hope this helps :)

9. Every school day, Lucas bikes to school, 12 miles away at 8 miles per hour. Today, Lucas was thinking about planning his sister’s party in the evening, and, distracted, travelled the first four mile at only 6 miles per hour. At what speed must he travel the last eight miles to reach school in time?

Answers

Answer:

Step-by-step explanation:

The question may be answered easily by first determining how far we would ride the bike in 1 hour. Riding the bike 12 mph (miles per hour) for one hour, we would ride the bike 12 miles.

 

Since 20 minutes is 1/3 of a hour, divide 12 by 3 to find out how far the biker traveled in 1/3 of the time:4 miles. that is the answer and the steps!!

The set of all numbers less than or equal to -1.

Answers

Answer:

anything before -1 is lower than -1.  -1 = -1

Step-by-step explanation:

-10, -9, -8, -7, -6, -5, -4, -3, -2 etc. are in a sense before -1 on a time line and they are all less than -1

Set B represents the set of all the natural numbers less than or equal to -1

[tex]\rm B=\{-\infty ...........-4,-3,-2,-1\}[/tex]

if we include all the numbers the range of set includes every number from

[tex]\rm -\infty \; to -1[/tex] so the set is represented by K

[tex]\rm K = \{ -\infty ,.....-1\}[/tex]

In Mathematics a set is  a collection of objects/elements that are constrained by some particular condition.

Let us consider a situation where "S" is the set and the elements are represented by "x"

A set is always denoted in curly braces. Expression (1) represents the set

[tex]\rm S =[/tex] { [tex]\rm x_1.x_2,x_3, x_4,x_5........x_n[/tex]}...........(1)

Set S  has elements that are represented as [tex]\rm x_1[/tex][tex]\rm\\where \; i \; represents\; the\; index\; of \; the \; element\\n = number\; of \; elements \; in \; the \; set \; x[/tex]

The set of all the natural numbers less than or equal to -1 is the set of all the negative integers including  -1.

So let us say B represents the set of all the natural numbers less than or equal to -1 . Then we can write it as follows

[tex]\rm B=\{-\infty ...........-4,-3,-2,-1\}[/tex]

Set B represents the set of all the natural numbers less than or equal to -1

if we include all the numbers the range of set includes every number from

[tex]\rm -\infty \; to -1[/tex] so the set becomes  

[tex]\rm K = \{ -\infty ,.....-1\}[/tex]

For more information please refer to the link below

https://brainly.com/question/4801204

Which is the following is equivalent to sin 35 ?
Answers A-D
A
COS 35
B COS 55
Csin 55
Dtan 35

Answers

Answer:

1

Step-by-step explanation:

=sin 55 cos 35 + cos 55 sin 35 =sin (55+35)=sin 90=1

evaluate ghjk if g=-4,h=-2,j=-6,and k =5

Answers

Answer:

GHJK=-240

Step-by-step explanation:

G=-4

H=-2

J=-6

K=5

[tex]-4*-2*-6*5=-240[/tex]

GHJK=-240

I think this is how you do it????

Answer:

-240

Step-by-step explanation:

Given;

evaluate ghjk if g=-4,h=-2,j=-6,and k =5

Substitute:

GHJK ⇒ (-4)(-2)(-6)(5)

(-4)(-2)(-6)(5)

(8)(-6)(5)

-48(5)

-240

~Learn with Lenvy~

Solve the following equation, and check your solution. Be sure to show all work in order to receive full credit.

Solve -17 + n/5 = 33. steps plsss

Answers

Answer:

17=n<

Step-by-step explanation:

17

Answer:

Step-by-step explanation:

17+ n/5=33

17+33-n/5

N= 50..

50/5

(1.8 dollars)/(1 euro) = (x dollars)/(200 euros)

Answers

Answer:

300 dollars

Step-by-step explanation:

$1.8=£1/x dollars=£200

cross multiplying

x=200×1.8

x=$360

Answer:

218.26

Step-by-step explanation:

1 [tex]\frac{913}{10000}[/tex]  USD = 1 EURO.

I calculated it on E to USD calculator.

3. Mrs. Galicia started a savings account for her family and started it with an initial deposit of $1600. The account earns 3.75% interest compounded quarterly.
(a) Write an equation to represent the anount of money in the account as a function of time in years.
(b) How much money will be present in the account in 5 years. *please show plug in step*

Answers

Hey there!

--› Initial deposit: 1600

--› rate = 3.75%

a) First, convert R as a percent to r as a decimal

r = R/100

r = 3.75/100

r = 0.0375 rate per year,

Substitute into formula

= A = P(1 + r/n)nt

A = P(1 + 0.0375/4)^4t

A = 1,600.00(1 + 0.009375)^4t

b)

A = 1,600.00(1 + 0.009375)^4t

A = 1,600.00(1 + 0.009375)^4(5)

A = 1,600.00(1 + 0.009375)^(20)

A = $1,928.28

The amount of money that will be present in the account in 5 years is P(5) = $1923.36

Exponential equations

The standard exponential equations is expressed as:

p(t) = p0(1+r)^t

where:

Po is the initial deposit = $1600Rate "r" =3.75% = 0.0375time "t" = 5 years

Substitute

P(t) =1600(1+ 0.0375)^t
P(t) = 1600 (1.0375)^t

Hence the equation to represent the aount of money in the account as a function of time in years is P(t) = 1600 (1.0375)^t

If t =5 years

P(t) = 1600 (1.0375)^t

P(t) = 1600 (1.0375)^5
P(5) = $1923.36

Hence the amount of money that will be present in the account in 5 years is P(5) = $1923.36

learn more on compound interest here: https://brainly.com/question/24924853

#SPJ2

[tex]\sqrt{-(-9)^2}[/tex]

Answers

See attachment for answer and explanation.

The value of 8 in 5.18 of the value of 8 in 5.81

Answers

Answer:

the value of 8 in the first one is 8

in the second one is 80

Suppose that 12 inches of wire costs 36 cents.
At the same rate, how much (in cents) will 47 inches of wire cost?

Answers

1 inches = 3 cents
47 inches = 47 x 3 = 141 cents

The Internal Revenue Service (IRS) provides a toll-free help line for taxpayers to call in and get answers to questions as they prepare their tax returns. In recent years, the IRS has been inundated with taxpayer calls and has redesigned its phone service as well as posting answers to frequently asked questions on its website (The Cincinnati Enquirer, January 7, 2010). According to a report by a taxpayer advocate, callers using the new system can expect to wait on hold for an unreasonably long time of 15 minutes before being able to talk to an IRS employee. Suppose you select a sample of 50 callers after the new phone service has been implemented; the sample results show a mean waiting time of 13 minutes before an IRS employee comes on line. Based upon data from past years, you decide it is reasonable to assume that the standard deviation of waiting times is 11 minutes. Use α=0.05

Required:
a. State the hypotheses.
b. What is the p-value?
c. Using α=0.05, can you conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.

Answers

Answer:

a)Null hypothesis : [tex]H_0:\mu \geq 15[/tex]

Alternate hypothesis : [tex]H_a:\mu < 15[/tex]

b)p value = 0.1003

c)We can conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.

Step-by-step explanation:

Null hypothesis : [tex]H_0:\mu \geq 15[/tex]

Alternate hypothesis : [tex]H_a:\mu < 15[/tex]

[tex]\mu = 15\\\bar{x}=13\\\sigma = 11\\n = 50[/tex]

Sample size is more than 30 . So, we will use Z test

[tex]Z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\\Z=\frac{13-15}{\frac{11}{\sqrt{50}}}\\Z=-1.285[/tex]

Use z table to find p value

p value = 0.1003

α=0.05

p value<  α

So, we reject null hypothesis

Hence We can conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.

what is the value of 27-2m, when m=3​

Answers

it would be 21
hope this helps

Answer:

21

Step-by-step explanation:

27 - 2m = 27 - (2 x 3) then 27 - 6 is 21, so your answer should be 21.

What is the sum of the 12th square number and the 3rd cube number?

Answers

Answer:

  171

Step-by-step explanation:

Your calculator can help you find the sum ...

   12²  +3³ = 144 +27 = 171

PLEASE HELP ME ASAP!!!!

Answers

Answer:

368 cm²

Step-by-step explanation:

Bottom: 12 * 10 = 120 cm²

Front and back (square): 2 * (10 * 10) = 200 cm²

Front and back (triangle): 12*8/2 = 48 cm²

Total = 120 + 200 + 48 = 368 cm²

A trend line passes through the points (-4, 9) and (1, -1). What is the equation of the trend line?

Answers

Answer:

✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️

how to write a sine function that has an amplitude of 5 a midline of 4 and a period of 2/7

Answers

Answer:

sin(kx) has period 2π/k so, you want 2 + 5sin(16π/7 x)

Step-by-step explanation:

WILL GIVE BRAINLIEST WILL GIVE BRAINLIEST

Answers

Answer:

9

Step-by-step explanation:

The correct answer would be 9

can i please get some help!!

Answers

Answer:

3 cis(43)

Step-by-step explanation:

When we divide number in polar form, we divide the modulus, and subtract the degrees.

36/12=3

45-2=43

3 cis(43)

Which is a tangent of circle P?pls helpt ASAP!!!!

Answers

Answer: Choice C)  line n

Explanation:

Tangent lines touch the circle at exactly one point.

In a closely contested school bond election, polling indicates that 50% of voters are in favor of the bond. Assume central limit theorem conditions apply. Suppose a random sample of 80 voters is selected

Answers

The central limit theorem is used to consider sample sizes of at least 30

The mean of the distribution is 40, and the standard deviation is 4.47

How to determine the mean

The given parameters as:

p =50% --- the proportion

n = 80 --- the sample size

The mean is then calculated as:

[tex]\bar x =np[/tex]

So, we have:

[tex]\bar x =80 * 50\%[/tex]

[tex]\bar x =40[/tex]

How to determine the standard deviation

The standard deviation is calculated as:

[tex]\sigma = \sqrt{np(1 -p)[/tex]

So, we have:

[tex]\sigma = \sqrt{80 *50\% * (1 - 50\%)[/tex]

Evaluate the root

[tex]\sigma = 4.47[/tex]

Hence, the mean of the distribution is 40, and the standard deviation is 4.47

Read more about the central limit theorem at:

https://brainly.com/question/17186021

A school buys 672 rulers to share among 21 classrooms. Each classroom gets the same number of rulers. How many rulers does each classroom get?

Answers

Divide rulers by rooms:


672/21 = 32

Each room gets 32 rulers

Answer:

32 rulers per classroom

Step-by-step explanation:

672rulers ÷ 21 classroom

=32 rulers per classroom

please helpppp meeeee​

Answers

Answer:

c.

Step-by-step explanation:

Evaluate the integral of
X-1/ (x+1) (x^3 + x^2 + x )^0.5

:)

Answers

Add and subtract 1 in the numerator then cancel x-1
Remains 2 / (x^3 + x^2 +x)^0.5
Take root x outside then complete the square
You will find the answer

Select the correct answer.
Which number line shows the solution to this compound inequality?
0<2x + 6 < 16
OA. HE
-10 -8
-6 -4 -2 0 2 4
6
8
10 12 14
B. +++
- 10 -8
-6 -4
-2
0
2
4
6
8
10 12 14
Oc. + +
-10 -8
++
10 12 14
-6 -4 -2
0
2
4
6
8
OD.
httot
-10 -8 -6 -4 -2 0
2
4
6
8
10 12 14

Answers

Answer:

C.

Step-by-step explanation:

pa brnlst hehehheeh

thx m ltr


You borrow $1400 from a friend and promise to pay back
$2000 in two years. What simple interest rate, to the nearest
tenth of a percent, will you pay?

Answers

Answer:

21.4%

Step-by-step explanation:

You would pay back a 21.4%

The simple interest rate on the loan of $1400 is approximately 21.4% per year.

What is the simple interest rate of the loan?

The simple interest can be expressed as:

A = P( 1 + rt )

Where A is accrued amount, P is the principal, r is the interest rate and t is time.

Given the parameter:

Principal P = $1400

Accrued amount A = $2000

Time t = 2 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate.

A = P( 1 + rt )

[tex]r = \frac{1}{t} * ( \frac{A}{P} - 1 ) \\\\r = \frac{1}{2} * ( \frac{2000}{1400} - 1 ) \\\\r = \frac{1}{2} * ( \frac{2000}{1400} - 1 ) \\\\r = 0.21428[/tex]

Convert r decimal to R a percentage

R = 0.214 × 100

R = 21.4% per year

Therefore, the rate is approximately 21.4% per year.

Learn more about simple interest here: brainly.com/question/25845758

#SPJ2

Find the slope of the line graphed

Answers

Answer:

1. 5/-2

2. 0/1

3. 6/2

Step-by-step explanation:

rise/run when calculating slope

Other Questions
Farmers who had large farms, but only grew one crop. How many O atoms are there in 1.5110^23 molecules of trifluoroacetic acid, C2HF3O2? 1.List 3 ways in which the 4 terrestrial planets are similar to one another. how do different types of rocks form? what are the coordinates of the image of point B after the triangle is rotated 270 On the Origin A tree in Austin's backyard is 5.22 meters tall. If the tree grows 0.6 meters each month, for how many months has the tree been growing? if x = 5 and y = 3, then xy - 2x = Which phrase best describes the economic context?A. Information about how wealth and social status affect characters and plot eventsB. Information about how history and time relate to the social status of charactersC. Information about how the physical environment of a story affects the characters and plotD. Information about how culture affects relationships between characters in a story What inference about Arthur is supported by the text Why is the Nazi concentration camp highlighted in the history of World War II? Can someone help me on this question? Ill give brainliest if you answer soon!!! 3 in.Find the volume of the sphere. Round your answer to the nearest tenth. Use 3.14 for at.The volume of the sphere is aboutin? Which of the following best describe a negative consequence of the Amazon basin deforestation? A. increase of oxygen and carbon dioxide cycles discovery of new animal and plant speciesB. discovery of new animal and plant species C. loss of biological compounds that may have medical value D. pollution of the Amazon River and surrounding tributaries plz help im really bad at math A container of rain water is evaporating 1.2 centimeters a week. After 8 weeks what will be the change in rain water levels Marta ha comprado 5 paquetes de 12 lpices cada uno y le han costado24 . Cual es el precio de cada lapiz? (a+b)=pls tell the answer Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 5 more than 3 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 97? Mark has Number marbles to sell. Don has Number marbles to sell. Where does -1/5 go on the number line Juan is walking a hill at 130 3/4 feet above sea level when he kicks a pebble. If the pebble falls to the base of the hill, which is 18.5 feet below sea level, what is the vertical distance that the pebble fell?