Find g(x), where g(x) is the translation 4 units down of f(x)=x2. Write your answer in the form a(x–h)2+k, where a, h, and k are integers. g(x)=

Answers

Answer 1

Answer: g(x) = (x+3)^2

The answer should be in the form of a(x-h)2 + k.

Since we are not translating up or down, the k value is 0. We will not be adding any values to the outputs of the original equation here. a will equal 1 since no stretches are occurring. So we are left with the h value.

f(x) = x2 is given.

g(x) = a horizontal translation of 3 units left. This means that the h value is -3, because in order to move left, you need to take 3 away from all x values (inputs). So the point (2,4) on f(x) would become (-1,4) on g(x).

How do we write this?

g(x) = f(x-h) where h = -3.

So this is g(x) = f(x - (-3)) = f(x+3)

g(x) = (x+3)^2


Related Questions

what is the area of the circle

Answers

Answer:

12.56

Step-by-step explanation:

3.14 times r^2

The question is in the image

Answers

Answer:

2.2 miles

Step-by-step explanation:

Coordinates of Joe's home = (2, 3)

Coordinates of the park = (1, 1)

The shortest distance = the distance between the two points

Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex] to calculate the shortest distance.

Where,

[tex] (2, 3) = (x_1, y_1) [/tex]

[tex] (1, 1) = (x_2, y_2) [/tex]

Plug in the values into the formula

[tex] d = \sqrt{(1 - 2)^2 + (1 - 3)^2} [/tex]

[tex] d = \sqrt{(-1)^2 + (-2)^2} [/tex]

[tex] d = \sqrt{1 + 4} [/tex]

[tex] d = \sqrt{5} [/tex]

[tex] d = 2.2 [/tex] (nearest tenth)

Shortest distance between Joe's home and the park = 2.2 miles

$4,500,000 is what percent of $5,000,000?

Answers

Answer:

90 percent of 5000000 lol

Answer:

90%

Step-by-step explanation:

Complete the square for 5x2 - 30x = 5.

Answers

Answer:

x=1/6

Step-by-step explanation:

cytktcyrcuhvoui

1) Mary and Frank have two bags in front of them. Mary's bag has 4 Inarbles; blue, yellow, red
and green. Frank's bag has 3 marbles; purple, orange, and pink. They will pick from their bag
at the same time. What is the probability of Mary selecting red from her bag and Frank selecting
purple from his bag?

Answers

hi

Mary  has  1/4 to pick  red  and Frank 1/3 to pick purple  

both event at the same time :  1/4*1/3 =  1/12

hey cutie pls help me thank u !!

f(x)= 2x-1
g(x)=3x
h(x)=x^2 + 1

Compute the following:
Find f(3)

Choose the best answer
A)9
B)5
C)10​

Answers

f(3)=5 // f(3)=2(3)-1 = 5

someone help me with this please

Answers

Graph 1: perpendicular
Graph 2: parallel
Graph 3: neither
Graph 4: neither

I am so sorry if I'm wrong.

Brainliest would be nice.
Have a good day:)
(more like night LOL)

Mrs. Kvitova earns $78,000 annually. If her state income tax rate is
3.8%, how much does she owe per month for state income tax?

Answers

i don’t know the answer but i need to help people before i get help so just act like i helped you

A cell triples in weight every hour. The cell initially weighs 0.02 grams.

Answers

Answer:

In 1 hour the cell will become 0.06 grams.

If you want more hours, keep on doing that.

A circle is centered at A(-5,-8)A(−5,−8)A, left parenthesis, minus, 5, comma, minus, 8, right parenthesis. The point M(-1,-3)M(−1,−3)M, left parenthesis, minus, 1, comma, minus, 3, right parenthesis is on the circle. Where does the point V(-11,-6)V(−11,−6)V, left parenthesis, minus, 11, comma, minus, 6, right parenthesis lie?

PPLLLSSSSS HELPPPP!!!!!! I will mark brainliest!!!!

Answers

Answer:

Its inside the circle

Step-by-step explanation:

Thats the answer on khan (RIP me i searched this up to get the answer and got it wrong to answer the right answer...)

Answer: Inside the circle

Step-by-step explanation: Khan Academy

18x-153=80
solve for x​

Answers

Answer:

x=12.9444444

Step-by-step explanation:

Answer:

x=12.94

Step-by-step explanation:

Find the domain of the relation:
{(-3, -4), (-1, 2), (0, 0), (1, 3), (5, 4);
0 (-3,-1, 0, 1,5)
O {-4, 0, 2, 3, 43
{-4, 2, 3, 43
O {-4, -3, -1, 0, 1, 2, 3, 4, 5}

Answers

the domain is -3, -1, 0, 1, 5

What is the perimiter of a quadrilateral with verticles at (5,2), (10,2), (5,5), and (10,5)

Answers

Answer:

55

Step-by-step explanation:

someone help me with this plss​

Answers

Answer:

C. b=1053

Step-by-step explanation:

Isolate b:

0.25b+168.75=432Subtract 168, 0.25b=263.25Divide by 0.25, b=1053

Answer:

C) b = 1053

Step-by-step explanation:

.25b = 263.25

b = 263.25/0.25

b = 1,053

what is aproxamently the answer to 5 pi

Answers

Answer:

It turns into the decimal: 15.70796...

Step-by-step explanation:


One year, an estimated 598,000 sandhill cranes migrated in March. The next March, an estimated 660,000 sandhill cranes migrated. To the
nearest percent, what is the percent change in the number of migrating cranes from the first March to the next?

Answers

Answer:

10.3679%

rounded - 10% increase

Step-by-step explanation:

That's the closest I got

Select all graphs that are a function

Answers

Answer:

A C and D

Step-by-step explanation:

A P E X

jrjfjfjfjfjfjfjf jfjfjf jfjfjf jfjfjf

At Kolbens Building, 3 out of every 7 employees use public transportation. There are 9,800 employees at the building. How many use public transportation?

I really need help on this

Answers

Answer:

I think the answer is 4800.

Step-by-step explanation:

Usually people would use 1/10 or anything like that, but here 3/7 was used. in order to find 10 percent you would divide by 10, correct, well I did the same with 7. (because you must find 1/7) The question was 3/7, so I multiplied 1400 by 3, and my answer was 4800. (sorry if this wasn't understandable, im the the best at explaining things)

please help I will; really appreciate it

Answers

Answer:

x+ 51+41=180°

X= 180-92

x= 88

Thus this is your answer.

Answer:

H < I < J

Step-by-step explanation:

H + I + J = 180

41 + 51 + J = 180

92 + J = 180

J = 88

Type the correct answer in each box. Use numerals instead of words.
In a survey conducted by a retail store, 58% of the sample respondents said they prefer to shop at places with loyalty cards.
If the margin of error is 3.4%, the expected population proportion that prefers to shop at places with loyalty cards is between
96
and
96

Answers

Answer:

1.) 54.6

2.) 61.4

(props to aeh589)

Explanation:

The expected population proportion that prefers to shop at places with loyalty cards is between 54.6% to 61.4% if, in a survey conducted by a retail store, 58% of the sampled respondents said they prefer to shop at places with loyalty cards. If the margin of error is 3.4%

What is the margin of error(MOE)?

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

[tex]\rm Z{score}= \frac{s}{\sqrt{n} }[/tex]

Where    is the z score at the confidence interval

            s is the standard deviation

            n is the number of samples.

The percent of sample respondents = 58%

Margin of error = 3.4%

The expected population that prefers to shop at places with loyalty cards is:

= (58±3.4%)

Take minus sign:

= 54.6%

Take plus sign:

= 61.4%

Thus, the expected population proportion that prefers to shop at places with loyalty cards is between 54.6% to 61.4% if, in a survey conducted by a retail store, 58% of the sampled respondents said they prefer to shop at places with loyalty cards. If the margin of error is 3.4%

Learn more about the Margin of error here:

brainly.com/question/13990500

#SPJ2

two sides of a triangle are 4 and 6 the third side cant be what A 2 b 4 c 6 d 8 please respond asap ​

Answers

Answer:

it’s b.4

hopes this help you

Is this a function?
A) No
B) yes

Answers

Answer:a

Step-by-step explanation:

no

(dont mind this wreath habit tdd fi gcs rgb yd UK FCC hash if sgf j.g ch hff vou j.g fyi utf fi oh fry it ey HD st ugh)

use the pythagorean theorem to find the unknown side of the right triangle? hii does anyone know the hypotenuse length?

Answers

Answer:

17

Step-by-step explanation:

8^2 + 15^2 = c^2

64 + 225 = c^2

√289 = c

c = 17

Answer:

yes the answer is 17

Step-by-step explanation:

all you have to do for next time is a^2+b^2=C^2

a and b are legs or the lines that are connected to the right angle. the c is the hypotenuse which is always longer than the legs

I just need to solve this: 5x^3=60x

Answers

If you are solving for the zeros it is -2sqr3, 0, 2sqr3

how do i find the range of a function on a graph

Answers

Answer:

#1. First label the function as y=f (x) #2. Express x as a function of y #3. Find all possible values of y for which f (y) is defined y y. #4. Element values of y by looking at the initial function f (x)

Step-by-step explanation:

A: {(-3,-1), (2,2),(0,1),(1,3),(-2,4)}
B: {(-3,-1),(-2,2),(1,0),(3,1),(4,-2)}
C: {(-3,-1),(2,-2),(1,0),(3,1),(4,-2)}
D: {(-1,3),(-2,-2),(0,1),(3,1),(4,2)}

Answers

Answer:

Add al of the numbers

Step-by-step explanation:

all you have to do is add all the numbers

50 points if correct and a brainly

A sequence can be generated by using an=an−1+3, where a1=4 and n is a whole number greater than 1. What are the first 5 terms in the sequence?

4, 12, 36, 108, 324

3, 12, 48, 192, 768

4, 7, 10, 13, 16

3, 7, 11, 15, 19

Answers

Answer:

4,7,10,13,16

Step-by-step explanation:

I sub

Suppose that 60\%60%60, percent of adults in district A support a new ballot measure, while 45\%45%45, percent of adults in district B support the same measure. Pollsters take an SRS of 200200200 adults from district A and a separate SRS of 100100100 adults from district B to see the difference between the sample proportions (\hat{p}_\text{A}-\hat{p}_\text{B})( p ^ ​ A ​ − p ^ ​ B ​ )left parenthesis, p, with, hat, on top, start subscript, start text, A, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, B, end text, end subscript, right parenthesis. What will be the shape of the sampling distribution of \hat{p}_\text{A}-\hat{p}_\text{B} p ^ ​ A ​ − p ^ ​ B ​ p, with, hat, on top, start subscript, start text, A, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, B, end text, end subscript, and why?

Answers

Answer:it’s B (120 succes and 80 failures for khan academy)

Step-by-step explanation: trust me

The shape of the sampling distribution of [tex]\hat{p}_\text{A}-\hat{p}_\text{B}[/tex] is approximately normal because the number of success in district A is 120

How to determine the shape of the distribution?

The given parameters are:

Proportion of adults in district A = 60%Proportion of adults in district B = 45%Sample size of A, n = 200Sample size of B, n = 100

In the sample size of 200, the number of adults that support a new ballot measure is:

Success = 60% * 200

Success = 120

Those that oppose is

Failure = 200 - 120

Failure  = 80

If 45% supports a new ballot measure in district B, then 55% do not support

The difference between those that support and do not support is:

(55% - 45%) * 100 = 10

Hence, the sampling distribution of [tex]\hat{p}_\text{A}-\hat{p}_\text{B}[/tex] is approximately normal

Read more about normal distribution at:

https://brainly.com/question/4079902

Pls help with number 2

Answers

brittany would be 10 years old because

 if jazmine is 15 years older than alyssa than alyssa would be 20

and then alyssa is twice as old as brittany

so britany is 10 years old because 10x2=20

Mary wants to make bouquets of roses. She has 32 lavender roses, 48 pink roses and 64 white roses. She wants each bouquet to have the same number of flowers of each color. What is the maximum number of bouquets she can make? Choose only ONE best answer. А 8 B 16 C 24 D 32 E 192​

Answers

Answer:

32)

Step-by-step explanation:

The reason is the least amount of flowers is 32 and since she doesnt have anymore flowers of that type she cant make more bouquets

I hope you found this helpful!

Other Questions
If you push a cooler with 20 N of force for a distance of 2 meters, the amount of work done is Pls help! DO NOT GIVE ME A LINK AS AN ANSWER!Recall the equation M, V1 = M2V2. Based on the presence of this amount of copper sulfate, complete the table to predict the concentration of the solution as water is added to the tank or removed from it. Don't actually change the amount of water in the tank yet. Type the correct answer in each box. Use numerals instead of words. Express each answer to two significant figures e. Volume (L) Concentration (mol/l) 1.0 0.80 0.60 0.50 0.20 When you make up for lost exercise time by increasing your workout intensity very quickly, you maytend to lose weighttend to stay motivatedreach your goals much fastertend to stop exercising Please answer this question Briefly describe two civil-rights cases that specifically helped Mexican-Americans Help me plz!!!!!!!!!!!!!!!!!!!! help plzzzzzzzzzzzzz which scale is most precise?which scale is most accurate? Can anyone help me with this Im not too god at math an this is worth 50 points Name, describe, and give examples of two types of succession in ecosystems. 1. How does the girl in Ponyboy's class react when he uses a switchblade to dissect a worm? Howdoes Ponyboy feel, and what does this reveal about his character? What type of government did the leaders of the Roman Republic establish? tripartite patrician tribunal dictatorship A DTP firm has published and printed fliers for an upcoming fundraising event. In which section of the flyer would you find the contact details of the DTP firm A. BodyB. Credits C. NavigationD. Title Eric is a car salesman. He earns a weekly salary of $175 plus 4% commission on sales. Thisweek he sold a car for $35,450.A) How much commission did he earn this week?B) What did he earn in TOTAL this week? (urgent pls show work) La ecuacin de la recta que lasa a travs de los puntos P1 (2,5) y P2 (4,11) es: a) 3x+y+1=0 b)3x-y-1=0 c) 3x-y+1=0 1. Why was World War I a war of attrition?O A. It was a war in which adversaries were worn down by a continuous loss of life and resources.O B. It was a war that was fought on a global scale.O C. It was a war that was characterized by revolutions and disorder.O D. It was a war marked by new military technologies such as machine guns, tanks, and airplanes. A teenager has 8 tee shirts, 2 belts, and 5 pairs of jeans. How many different outfits can he wear, assuming that he must wear a belt to keep those pants up and keep that shirt tucked in? need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!! What is the shortest Hamilton path in the vertex-edge graph below? Help me please thank you