In which direction must the graph of Ax) = x be shifted to produce the graph of g(x) = f(x) - 4?
ОА. up
OB. down
O c. left and down
OD. right and up​

Answers

Answer 1

Answer: B. down

Step-by-step explanation:

Translation rules:

For a function h(x):

h(x+c) is a left-shift by c units.h(x-c) is a right-shift by c units.h(x)+c is a up-shift by c units.h(x)-c is a down-shift by c units.

Here, the graph of f(x) becomes the graph of g(x) =f(x)-4 which is similar to "h(x)-c".

That means , f(x) is shifted 4 units down to become g(x).

So, correct option : B. down


Related Questions

Using 20 boxes of nails a carpenter was able to finish 40 bird houses. Write an
equation that can be used to express the relationship between the total number of
birdhouses completed(t)and the boxes of nails(b) used.

Help ASAP!

Answers

Answer: 20 times 2 equal 40/ 40 divided by 2 is 20

Step-by-step explanation: Both of them should help you find the answer


2y² +4y-48=0
solve the equation​

Answers

Answer:

y = - 6, y = 4

Step-by-step explanation:

Given

2y² + 4y - 48 = 0 ( divide through by 2 )

y² + 2y - 24 = 0

Consider the factors of the constant term (- 24) which sum to give the coefficient of the y- term (+ 2)

The factors are + 6 and - 4 , since

6 × - 4 = - 24 and 6 - 4 = + 2 , thus

(y + 6)(y - 4) = 0

Equate each factor to zero and solve for y

y + 6 = 0 ⇒ y = - 6

y - 4 = 0 ⇒ y = 4

Answer:

Step-by-step explanation:

2y² + 4y - 48 = 0

2y² +  12y -  8y  + (-8)* 6 = 0

         2y(y + 6) - 8(y + 6) =0

                 (y + 6) (2y - 8)= 0

y + 6 = 0    ; 2y- 8 = 0

     y = -6            2y = 8

                             y = 8/2

                             y = 4

Solution: y = -6 , 4

Create an equivalent ratio to 35:40 by dividing both sides by 5. What is the equivalent ratio?

Answers

Answer:

35:40 = 7:8 is the equivalent ratio.

Step-by-step explanation:

35 / 5 = 7

40 / 5 = 8

=

7:8

Answer:

the equivalent ratio is 35:40 = 7:8

Step-by-step explanation:

35 divided by 5= 7

40 divided by 5= 8

=7:8

3/4a-1/6=2/3a+1/4? Please i need help!!!!

Answers

Answer: a=5

Step-by-step explanation:

1/12a=10/24

24a=120

a= 5

please show me the steps to solve this

2n^2 = -144

Answers

Answer: [tex]\large \boldsymbol{} \pmb{6\sqrt{2} i}[/tex]

Step-by-step explanation:

[tex]\large \boldsymbol{} \bf i=\sqrt{-1} \\\\ 2n^2=-144 \\\\n^2=-72 \\\\n=6\sqrt{2} i[/tex]

[tex]\\ \sf\longmapsto 2n^2=-144[/tex]

[tex]\\ \sf\longmapsto n^2=\dfrac{-144}{2}[/tex]

[tex]\\ \sf\longmapsto n^2=-72[/tex]

[tex]\\ \sf\longmapsto n=\sqrt{-72}[/tex]

[tex]\\ \sf\longmapsto n=8.4i[/tex]

What is the volume of this rectangular prism?
3 cm
cm
1
cm

Answers

Answer:

.75cm³

Step-by-step explanation:

To find the volume of a shape like this it is,

base×height×width.

In this case it is .5×.5×3=.75cm³

Answer:

3/4 or 0.75

Step-by-step explanation:

Length times width times height:

1/2 * 1/2 * 3

= 3/4

Geometry, please answer question ASAP

Answers

Answer:

I'm going to say A and B (I think)

Factor the expression
Thank you so muchh

Answers

Answer:

(x+8)(x-5)

Step-by-step explanation:

x^2 +3x-40

What two numbers multiply to -40 and add to 3

8 * -5 = -40

8+-5 = 3

(x+8)(x-5)

Answer:

(x + 8)(x - 5)

Brainliest, please!

Step-by-step explanation:

(x + )(x - )

Factors of 40: 1 and 40, 2 and 20, 4 and 10, 5 and 8

(x + 8)(x -5)

Adam has the difference between two-thirds of bretts book and two thirds of charlies books.If brett has 72 books and charlie has 72 books how many books does adam have

Answers

Answer:

48

Step-by-step explanation:

Adam has 2/3 of books that brett and charlie have : 2/3 of 72 wich is 48

Evaluate the expression when a= 5 and x= -2 -a+6x Thankyou ! !

Answers

The equation would be -5+(-12), so the answer would be -17 :)

Answer:

[tex]\boxed{-17}[/tex]

Step-by-step explanation:

Hey there!

If x is -2 and a is 5 then we can plug those in,-a + 6x.

-(5) + 6(-2)

-5 + -12

= -17

Hope this helps :)

What is the equation of a circle centered at (1,-4) and a diameter 18?

Answers

Answer:

(x - 1)² + (y + 4)² = 81

Step-by-step explanation:

Circle Formula: (x - h)² + (y - k)² = r²

(h, k) is the center

2r = d

Step 1: Find r

18 = 2r

r = 9

Step 2: Plug known variables into formula

(x - 1)² + (y + 4)² = 9²

Step 3: Evaluate

(x - 1)² + (y + 4)² = 81

Answer:

(x-1)^2 + (y+4)^2 = 81

Step-by-step explanation:

The equation of a circle can be written as

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

The center is ( 1,-4)

and the radius is d/2 = 18/2 = 9

(x-1)^2 + (y- -4)^2 = 9^2

(x-1)^2 + (y+4)^2 = 81

Question 1(Multiple Choice Worth 5 points) (07.02 LC) Celine is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a blue, and an orange marble. There is also a fair 12-sided die labeled with the numbers 1 through 12. How many outcomes are in the sample space for pulling a marble out of the box and rolling the die? 48 32 16 8

Answers

Answer: 48

Step-by-step explanation:

Given, A box has a white, a green, a blue, and an orange marble.

Total possible outcomes of pulling marbles = 4

There is also a fair 12-sided die labeled with the numbers 1 through 12.

Total possible outcomes of rolling the die = 12

By Fundamental counting principle , we have

Possible outcomes are in the sample space for pulling a marble out of the box and rolling the die = (Total possible outcomes of pulling marbles ) x (Total possible outcomes of rolling the die)

= 4 x 12

= 48

Hence, the correct answer is "48".

60 vehicles parked on the driveway 1/4 of them were trucks. How many trucks?

Answers

Answer:

15 trucks

Step-by-step explanation:

If there are a total of 60 vehicles, and 1/4 of them are trucks, we can multiply 60 by 1/4 to get our answer. Or because 1/4 is split into fourths, we can divide 60 by 4 to also get our answer.

Hope this helps!

1/4 of 60 is 15.

There were 15 trucks. Hope this helps.

If I get 20 pound a day how much do i make in a month

Answers

Answer:

£600

Step-by-step explanation:

1 months= 30 days

here,

money made in 1 day= £20

now,

money made in 30 days= 20×30

= 600

[:• In one month you earn £600]

Answer:560 pounds

Step-by-step explanation:

If 1 day is equal to 20 pounds, to find how much pounds will you have a month, first check how many days are there in a month. Then multiply the number of days in a month to the given pound in one day.

So =1 month = 28 days

=1 day = 20 pounds

So= 20 pounds × 28 = 560 pounds

Find the Length of the missing side of the right Triangle using the Pythagorean Theorem. Round your answers to
the nearest tenth. Please show your work in the "Show your work" text box. Draw a Picture!
The size of a television screen is given by the length of the diagonal of
the screen. What size is a television screen that is 21.6 inches wide and
16.2 inches high?
Show Your Work
O 22.5 in
18.4 in
27 in
O 13.2 in

Answers

Answer:

27 inches

Step-by-step explanation:

We can use The Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

21.6 ^2 + 16.2^2 = c^2

466.56+262.44 = c^2

729 = c^2

Taking the square root of each side

sqrt(729) = sqrt(c^2)

27  = c

What’s is the formula for the fill arithmetic sequence? -9,-2,5,12

Answers

Answer:

a +d = a2

Step-by-step explanation:

-2 - (-9) =

-2+9=7

a + d = a2

Mrs . Garrett has 24 students in her class , if 14 students are girls , what is the ratio of girls to the total number of students in her class ?

Answers

14 / 24. Or 7 / 12. These are the answers

Find the probability distribution for the following function: P(x)=x/2+1 for x=4,6, and 8

Answers

56 because i just took the test ps this is wrong i just need the points

5. Solve the differential equation y" - 5y "+7y'-3y=0.​

Answers

The differential equation

y''' - 5y'' + 7y' - 3y = 0

has characteristic equation

r ³ - 5r ² + 7r - 3 = (r - 3) (r - 1)² = 0

with roots at r = 3 and r = 1 (with multiplicity 2), so that the characteristic solution to the DE is

y = C₁ exp(3x) + C₂ exp(x) + C₃ x exp(x)

Find the distance across the lake. Assume the triangles are similar.
80 m
х
у
20 m
60 m

Answers

Answer:

A.   L = 240 m

Step-by-step explanation:

use similar triangle

L / 60 = 80 / 20

L = (80 * 60) / 20

L = 240 m

The required distance across the lake is 240 m. Hence correct option is A.

What are Similar triangles?

Similar triangles, are those triangles which have similar properties i.e. angles and proportionality of sides.

Since, triangles are similar.
The ratio of their sides are also equal
60/20= L/80
L=80 x 3
L = 240 m

Thus, the required distance across the lake is 240 m.

Learn more about similar triangles here:

brainly.com/question/25882965

#SPJ2

Look at each pattern.
Identify the rule for each pattern.
Pattern A: 0, 3, 6, 9, 12, 15, 18,...
Pattern B: 0, 12, 24, 36, 48, 60, 72, ...

Answers

Answer:

pattern A is going by 3

pattern B is going by 12

Step-by-step explanation:

so you basically just have to add 3 for pattern a and add 12 for pattern B for each number

For the given figure, justify the statement ∠1 ≅ ∠2

Answers

Answer:

                   JUSTIFICATION↓

∠1 ≅ ∠2 (∵ Vertically-opposite angles are equal)

Step-by-step explanation:

Since ∠1  lies vertically opposite to  ∠2 and vice -versa , therefore ∠1 and  ∠2 are equal to each other

inverse proportion
it takes 3 hrs for two people to clean six identical rooms.
how long would it take 5 people to clean 20 of the same rooms at the same k rate

Answers

Answer:

4 hours per each room for 5 people

Step-by-step explanation:

Select the equations of the lines that are parallel to the line whose equation is y= 3x +5.
-3x + y = 8
3y = 9x
y=- jx
16x + 2y = 12

Answers

Answer:

-3x + y = 8.

3y = 9x.

Step-by-step explanation:

To find the slope of the lines we convert to slope-intercept form, which is

y = mx + c   (m is the slope.)

The slope of y = 3x + 5 is therefore 3.

Parallel lines have the same slope.

Finding the slope of the given lines:

-3x + y = 8

y = 3x + 8  - slope is 3 so this is parallel to  y = 3x + 5.

3y = 9x

Divide through by 3:

y = 3x  - so this is also parallel to 3x + 5.

y = -jx  The slope is -j so it is not parallel.

16x + 2y = 12

2y = -16x + 12

y = -8x + 6  - Not parallel.

(-3,7), (5,11) what is the slope and can u show me how u got it please ​

Answers

Answer:

The formula for the slope is:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Assign each given point to a variable:

(x₁, y₁) = (-3, 7)(x₂, y₂) = (5, 11)

Substitute in the values into the formula:

[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{11-7}{5-(-3)}=\frac{4}{8} =\frac{1}{2}[/tex]

Therefore, the slope is 1/2.

Answer:

1/2

Step-by-step explanation:

The formula for slope: [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

Plug in:

[tex]\frac{11-7}{5-(-3)}[/tex]

11 - 7 = 4

5-(-3)

5 + 3 = 8

4/8 = 1/2

The slope is 1/2.

Hope this helped.

x-7[tex]\sqrt[2]{x}[/tex] +19

Answers

Answer:

Okay please complete your question:)

Step-by-step explanation:

The math problem is incomplete...

Find the error in the student's work. Which of the following steps is where the first error occurred?
f(x) = -3x^2 - 2x
Step 1: f(-2) = -3(2)^2 - 2(-2)
Step 2: f(-2) = -3(4) + 4
Step 3: f(-2) = -12 + 4
Step 4: f(-2) = -8
Step 3 should be 12 + 4.
Step 2 should be -3(-4).
O Step 1 should have a -2 substituted for both values.

Answers

Answer:

Step 1 should have a -2 substituted for both values.

you are working with a 30-60-90 right triangle. its longer leg measures 6. What is the length of the hypotenuse

Answers

Answer:

4sqrt(3) = 6.928

Step-by-step explanation:

Ratio of the lengths of the sides of a 36-60-90 triangle:

short leg : long leg : hypotenuse

     1         :  sqrt(3)   :       2

The short leg is sqrt(3) times shorter than the long leg.

The hypotenuse is twice the short leg.

long leg = 6

short leg = 6/sqrt(3)

hypotenuse = 12/sqrt(3)

12/sqrt(3) * sqrt(3)/sqrt(3) = 12sqrt(3)/3 = 4sqrt(3)

What is the radical equivalent for 197^7/8?

Answers

Answer:

[tex]\sqrt[8]{197^{7} }[/tex]

Step-by-step explanation:

[tex]\sqrt[8]{197^{7} }[/tex]

Which expression is equivalent to 8f+5f?

Answers

The answer is

8f+5f

=13f

Other Questions
I. Fill in each gap with a suitable word to complete the passage.I come (1). a family of five people. My mother is a very caring woman. She takes theresponsibility for running the (2).. She is always the first one to get up (3).inthe morning to make sure that we leave home (4).school having eaten (5).anddresses in suitable clothes. In the afternoon, after hospital, she rushes (6).the market,then hurries (7).so that dinner is ready on the table by the time Dad (8).home.Dad (9).always willing to give a hand with (10).the house. Convert 59800 kilograms to pounds Read the background on energy policy and President Trump's speech on the Paris Agreement. How should government balance consumer demand for energy and environmental protection? What sacrifices are you willing to make to protect the environment? How much do you think people would give up to limit energy consumption and waste? The simple rate of return is also called all of the following except ________. annual rate of return unadjusted rate of return accounting rate of return Modern farming methods require more inputs which are manufactured in industry. Do you agree? A galvanic cell consists of a Cu(s)|Cu2+(aq) half-cell and a Cd(s)|Cd2+(aq) half-cell connected by a salt bridge. Oxidation occurs in the cadmium half-cell. The cell can be represented in standard notation as Name and explain two of the major social issues facing America in the late 1800s. Describe the impact each had on individuals and communities. A multiple regression model involves 5 independent variables and a sample of 10 data points. If we want to test the validity of the model at the 5% significance level, the critical value is: A body decelerates uniformly to a constant speed and after some time it accelerates uniformly Draw the shape of speed time graph for such a motion . Label the three sections of this graph. What is the quantity which is measured by the area occupied under speed time graph ? Need a little help thanks :D Choose the correct sum of the polynomials (6x3 8x 5) + (3x3 + 6x + 2). 9x3 2x 3 3x3 + 2x + 3 3x3 2x 3 9x3 + 14x + 3 Which of the following is NOT a type of figurative language?O metaphorO passive voiceO simileanalonxPlease Help Ramans teacher taught about changes that take place during Adolescence period in the class today. Which of the following change take place in girls during Adolescence period?a) Increase in breast size b) Menstruationc) Growth of hair in genital area d) All of the above solve the following inequality -1d+2/565 What is the value of (-4)-3? josue bought 7 pounds of pretzels at a local wholesaler for $16.80. his friend ricardo bought 5 pounds of pretzels at the supermarket for $12.75. Ricardo thinks he got the better deal because $12.75 is less than $16.80. Is Ricardo's reasoning correct? Explain why or why not. write the correct word in the spaces provided to express feelings. (tonnement,bonheur, dception, gratitude,nostalgie,reconnaissance)1. Nous avons le .............. de vous annoncer la naissance de notre fille Marion.2. Merci de tout cur! je vous dois une.............3. Nous avons appris avec........ton retour en France:n'tais-tu pas en poste pour trois ans en Irlande?4. C'est souvent avec........que je me souviens de mes vacances en Lozre. J'aimerais tant m'y trouver encore!5. Tes grands-parents ont toujours t trs accueillants avec toi. Tu dois prouver beaucoup de............... leur gard.6. Nous savons que tu rves de cet ordinateur, mais nous be pouvons pas te l'offrir cette anne,et esprons que ta ................. ne sera pas trs grande. Find a8 of the sequence 10,9.75,9.5,9.25,. cember 31 of each year. Rupar accounts for the bonds as a held-to-maturity investment, and uses the effective interest method. In Rupar's December 31, 2021, journal entry to record the second period of interest, Rupar would record a credit to interest revenue of What are the sites for abdominal hemia