Identify a transformation of the function ƒ(x) = x^2 by observing the equation of the function g(x) = (x – 1)^2

Answers

Answer 1

Answer:

f(x) is translated 1 units left to give g(x)

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

[tex]g(x) = (x - 1)^2[/tex]

Required

How does f(x) transform to g(x)

[tex]f(x) = x^2[/tex]

When translated by b units left, it gives:

[tex]g(x) = f(x - b)[/tex]

In this case:

[tex]b = 1[/tex]

So:

[tex]g(x) = f(x - 1)[/tex]

If [tex]f(x) = x^2[/tex], then

[tex]f(x - 1) = (x - 1)^2[/tex]

Hence:

[tex]g(x) = (x - 1)^2[/tex]

This implies that; f(x) is translated 1 units left to give g(x)


Related Questions

please help need answers ASAP!

Answers

Answer:

x=e³-5

Step-by-step explanation:

Solve the equation by rewriting in exponential form using the definition of a logarithm and simplifying.

Help me pls thank you

Answers

Answer:

237 degrees

Step-by-step explanation

Help ASAP nowwwwww
Please and thank you

Answers

Answer:

y = -1/2x + 5

Step-by-step explanation:

Parallel slope = -1/2

The y-intercept can't be the same so C is the only option

Answer:

C. y = -1 /2x + 5

Step-by-step explanation:

Hope this will help

For basketball tryouts, Kiana ran two laps in a total of 28.5 seconds. In the second lap, she beat her first lap by 3 seconds. Write an equation to represent the situation. I a clase Solve the equation to calculate how long to run the second lap?​

Answers

Answer:add 6

Step-by-step explanation:

yo have to add 5 then subtract to get answer

How many times larger is 3.6 x 106 than 720,000

Answers

Answer:

720,000 is 719,618.4 larger than 3.6 x 106

Step-by-step explanation:

This problem is attempting to TRICK you.



Nevada deposits $4000 in a savings account for 18 months.



The bank is paying 5% interest per year.

How much Interest will Nevada earn from the bank?



What will be the total balance in Nevada’s account after 18 months?

Answers

Answer:

nevada will earn $300 interest and the total balance after 18 months is $4,300.

Step-by-Step Explanation:

we use this following formula to find how much interest nevada has :

simple interest = principal * interest rate * time

since the amount of time is in months, we have to convert it into years. we use interest in years ONLY.

1 year = 12 months

1.5 years = 18 months

now that we have the correct values to use this formula in, we now substitute the numbers in.

simple interest = principal * interest rate * time

simple interest = $4,000 * 0.05 * 1.5

here, we converted the percentage rate into a decimal because obviously, you cannot directly multiply percentages by money or normal numbers.

simple interest = principal * interest rate * time

simple interest = $4,000 * 0.05 * 1.5

simple interest = $200 * 1.5 (we multiplied the first two values first so it's easier to get the final answer)

simple interest = $300

we now have to find the total balance on nevada's account after 18 months by using the following formula :

total amount = principal + simple interest

since we know the amount of principal and interest already, all we have to do is substitute the numbers in.

total amount = principal + simple interest

total amount = $4,000 + $300

total amount = $4,300

therefore, nevada's total balance on her account after 18 months is $4,300.

If X = 2 units, Y = 9 units, and Z = 6 units, then what is the volume of the rectangular prism shown above?

Answers

Answer:

108 cubic units

Step-by-step explanation:

If X = 2 units, Y = 9 units, and Z = 6 units, then what is the volume of the rectangular prism shown above?

Volume of a rectangular prism XYZ = Length × Width × Height

= 2 unit × 9 unit × 6 unit

= 108 cubic units

What is the value of 703 x 85? Show all your work.

Answers

Answer:

59755

Step-by-step explanation:

basically you just do 703 x 85 on an calculator and thats the answer

Which value is equivalent to (36)3?
A.
32
B.
33
C.O 39
318

Answers

Answer:

108

Step-by-step explanation:

36(3)=108

The correct answer is not on the answer choice.

Whichever answer is the closest to 108, choose it.

2.
NEED HELP ASAP WILL GIVE BRAINLY

Answers

Answer:

47.04 square feet

Step-by-step explanation:

Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options. 6 feet by 2 feet by 3 feet, 6 feet by 5 feet by 4 feet, 7 feet by 6 feet by 4 feet, 8 feet by 3 feet by 7 feet, 8 feet by 4 feet by 3 feet​

Answers

Answer:

the second one, ((6 x 5) x 4) +((5 x 4) x 2) = 160

the third one, ((7 x 6) x 4) + (6 x 4) x 2) = 216

the fourth one, ((8 x 4) x 4) + ((4 x 3) x 2) = 152

Step-by-step explanation:

Which expression can be used to find the volume
of the rectangular prism in cubic centimeters?
Image shows a prism with a base area of 245 square cm and a height of 85 cm.

A. 85 + 245 =

B. 85 x 85 x 245 = ?

C. 85 + ( 85 x 245 ) = ?

D. 85 x 245 = ?

Answers

Answer:

85x85x245

Step-by-step explanation:

plz help!!!!!!!!!!!!!!!

Answers

1—> 2 4 x (2 2) -2 ; 2 -5 —> ( 2 2)2 x (2 3) -3 ; 2 8—> (-2 -4 )-2 x (2 2)0 ; 2 -32—> (-2 2)-6 : (2 -5) -4

If the sentence below contains an error in capitalization, choose the sentence with the correct capitalization. If there are no errors, chose the No Error option

Scientists know more about the planet mars than they do about planet neptune.

Group of answer choices

Scientists know more about the planet Mars than they do about planet Neptune

Scientists know more about the Planet mars than they do about Planet neptune

No error

Scientists know more about the Planet Mars than they do about Planet Neptune

Answers

Answer:

Scientists know more about the planet Mars than they do about planet Neptune.

Step-by-step explanation:

The names of the planets are capitalized in this one and only that. *There was an error with punctuation, though.

Solve the equation by completing the square.

g^2+3g=340

Answers

Answer:

g= -20,17

Step-by-step explanation:

i used symbolab plus i just worked this in class

Find the unite rate 380 19

Answers

Answer:

i have no clue

thank you so much for the points have a good day and im super sorry

Step-by-step explanation:

Karen is working on her math homework. She solves the equation b/7


= 35 and says that the solution is b = 5. Do you agree or disagree with Karen?

Answers

Answer:

disagree

Step-by-step explanation:

subtituting b with 5 we get 5/7=35. they are not equal do karen is not correct.

Answer:

No

Step-by-step explanation:

If the equation was 7b=35 then yes Karen would be correct. However the equation is b/7=35 which would get you b = 245

In A ABC and A PQR, AB-4cm, BC-5 cm, AC-6 cm and PQ-4cm, OR-5 cm. PR-6 cm, then which of the following is true- (a) A ABC & A QRP (C) A ABC A POR (c) A ABC = A PRO (d) A ABC # AQPR A B ОС D​

Answers

Answer: ABC= PQR

Step-by-step explanation:

I need help? anyone know the answer?

Answers

Answer:

the answer you are looking for is B

A triangle is shown.
What is the measure of angle x?

Answers

D.146
.......................

PLS help me
ll
ll
ll
ll
ll
ll
ll
ll
ll
ll
\ ll /
\/

Answers

Answer:

You would multiply (3 times 17) and then add 5. So the equation would look like this.

m=(3*17)+5                                                                                                                          Step-by-step explanation:

Answer:

3x 17

do that first then add 5

Step-by-step explanation:

hope this helps

have a nice day/night

Write the rational number in decimal form, rounded to
the thousandths:

Answers

Answer:

1.833

Step-by-step explanation:

Anyone help ASAP pls!!

Answers

Answer:

Step-by-step explanation:

You prepare8 scoops of dog food for 4 ​dogs, and prepare15 scoops of dog food for 6 dogs. Is there a proportional relationship between the number of scoops and the number of​ dogs?
Choose the correct answer below.

Answers

Answer:

Is there a proportional relationship between the number of scoops and the number of​ dogs?

No.

Step-by-step explanation:

A proportional relationship is something like:

y = k*x

Here y can represent the number of scoops of dog food, and x the number of dogs.

First, we know that for 4 dogs he prepares 8 scoops of dog food, then:

8 = k*4

If the relationship is proportional, then we should have a similar equation for the case of 6 dogs, where he prepares 15 scoops of dog food:

15 = k*6

So if we have the same k in both equations, then there is a proportional relationship between the number of scoops and the number of dogs.

In the first equation we have:

8 = k*4

8/4 = k

2 = k

And in the second equation we have:

15 = k*6

15/6 = k

2.5 = k

The values of k are different, so no, there isn't a proportional relationship between the number of scoops and the number of dogs.

Hi, I dont understand this. can anyone explain how to solve it ASAP?

What is the x-value of the solution to the system of equations?
5x + 4y = 8
2x − 3y = 17

a. −3
b. −2
c. 4
d. 5

Answers

Answer:

x=4, y=-3. (4, -3).

Step-by-step explanation:

5x+4y=8

2x-3y=17

--------------

2(5x+4y)=2(8)

-5(2x-3y)=-5(17)

---------------------

10x+8y=16

-10x+15y=-85

-----------------

23y=-69

y=-69/23

y=-3

5x+4(-3)=8

5x-12=8

5x=8+12

5x=20

x=20/5

x=4

Given that
6
x

6
y
=
23

Find
y
when
x
=
8

Give your answer as an improper fraction in its simplest form. No

Answers

the answer is y = 23

Answer:

The answer is

6x-6y=23

6(8)-6y=23

48-23=6y

25=6y

25/6=6y/6

y=28/6

In an effort to catch a criminal; a superhero is going to leap over a building and take a shortcut down the ally. The function f(x)=−16x^2+150x gives the superhero's height in feet as a function of time. The building is 425 feet high. Will the superhero make it over the building?

A. Yes, the superhero always makes it!
B. No, the superhero can only jump half the height of the building
C. No, the superhero will crash into the building at 351 feet
D. No, the superhero can only jump 150 feet into the air

Answers

Answer:C

Step-by-step explanation:

I put it in Desmos calculator and he can only jump 351 ft high

THIS IS FOT GRADE I NEED HELPP PLSSS!!!I WILL BE GIVING BRAINLIEST + POINTS!!!!

Answers

answer: 344 cm

Step-by-step explanation:

you would multiply 16 x 4 since there are four sides of the pyramid and you would get 64 then you would multiply 18 * 14 and you would get 252 then you would add 252 Plus 64 and get 316 which would be your answer so you would have to get Kirin 316 centimeters of paper

Please help me with this!!

Answers

Answer:

transversal angle

Step-by-step explanation:

es equivalente?

2 10
- y -
3 15​

Answers

Yes it is equivalent
Other Questions
Lori has 79 stickers. This is three morethan twice as many as Beth has. Howmany stickers does Beth have? 17. According to the Oracle, Unoka worked as hard as every man in Umuofia during planting season.TrueFalse 18. Okonkwo did not have the start in life which many young men usually had.TrueFalse 19. Unoka, Okonkwo's father, was buried in the Evil Forest because he had the swelling sickness.TrueFalse A student bought a truck with a down payment of $4,000 and monthly payments of$250 for four years. What was the total cost of the truck? | 1 pointTonya is hiking up the Kern Canyon with her friends. They begin their hike at 150 feet below sea level and reach their destination which is600 feet above sea level. What is the vertical distance between the two elevations?-450 ft.450 ft.-750 ft.750 ft. Worth 73 points help fast Examine the graph (no data available for 19201935).A line graph titled Per Capita Consumption of Alcohol in the United States from 1880 to 1960. The x-axis is labeled Year from 1880 to 1960. The y-axis is labeled Gallons per Person from 0 to 4. Prohibition is labeled from 1920 to around 1933. Consumption was between 1.5 and 2.0 gallons in 1880. Consumption was 3.0 gallons in 1910. Consumption dropped to under 1.5 in 1920. Consumption rose to 2.0 in 1950.What does this graph suggest about the long-term impact of Prohibition Era legislation until 1960?Alcohol consumption was affected by the end of World War I.Alcohol consumption barely changed during the time of Prohibition.Alcohol consumption grew due to the poverty of the Great Depression.Alcohol consumption was lower after Prohibition than before it began. Use the Pythagorean Theorem, a2+b2=c2 to find the length of a triangle when b = 24 feet and c = 25 feet. Round your answer to the nearest whole number. A. 7 ft B. 8 ft C. 49 ft D. 576 ft What information did geologists use to divide Earth's history into intervals?changes in climatechanges in the atmospherechanges in the fossil recordchanges in volcanic activity HELP! Brainliest for the answers from 5A-5D from Wordly Wise 3000 Book 8 Lesson 5!!! ONLY BRAINLIEST FOR PEOPLE WHO ANSWER AT LEAST 3 SECTIONS, and please do not put absurd answers, or I will have to report you! What causes leaves to change color in the Fall? help me with this question?!! Cells that are able to divide and replicate many times in order to replenish and repair tissue.What is the type of human cell? Please help I did a whole other page and I just dont understand this one. The other page has the explanation but it makes no sense, can someone just tell me the answers? This is for my vet med class. Please help thank you! Please let me know if any are wrong so far.I think so far1 - acceptance2 - bargaining3 - guilt6 - anger What is the nergy of a wave that has afrequency of 6.32 x 10^20 Hz? If you could drive one car for the rest of your life what would it be? Type in comments if you want to answer. Mine is either a 1984 ford bronco or a 1970 dodge challenger. I am a fan of old cars. In the northeastern United States, which of the following resources are MOST important to industry in the region today?I. Access to waterwaysII. Coal minesIII. Iron ore reservesIV. Skilled human capital I only IV only II and III III and IV I, III, and IV please help me A football player kicks a football and exerts a force on the football of 0.4 kg (m/s). The footballs acceleration is 0.92 m/s. What is the mass of the football? What is a bingus? And why is He so cute? Who is your favorite character in the Little Women? And why?