Which function represents the graph of f(x)=−4|x| after it is translated 3 units down?

Answers

Answer 1

Answer:

The function with blue line (see attachment) represents the graph of [tex]f(x) = -4\cdot |x|[/tex] after it is translated 3 units down.

Step-by-step explanation:

Mathematically speaking, a translation in the y-direction is defined by the following expression:

[tex]g(x) = f(x) + k[/tex] (1)

Where:

[tex]g(x)[/tex] - Resulting function.

[tex]f(x)[/tex] - Original function.

[tex]k[/tex] - Translation factor ([tex]k > 0[/tex] - Translation in the +y direction/[tex]k< 0[/tex] - Translation in the -y direction).

If we know that original function is translated 3 units down and [tex]f(x) = -4\cdot |x|[/tex], then the resulting function is:

[tex]g(x) = -4\cdot |x|-3[/tex]

Lastly, we graph both original and resulting functions with the help of a graphing tool, whose outcome is presented in the image attached below:

Please notice that the red line represents the original function, whereas the blue line represents the resulting function.

Which Function Represents The Graph Of F(x)=4|x| After It Is Translated 3 Units Down?

Related Questions

PLZ HELP ME WITH MY MATH HOMEWORK!!! SHOW WORK!!!

Answers

Answer:

Hope it will help you...

Answer:

Step-by-step explanation:

The sum of two angles is 90°. The difference of twice the larger angle and the smaller angle is 105º. The system of linear equations:
x + y = 90
2x - y = 105
represents this situation where x is the larger angle and y is the smaller angle. Find the measures of the two angles.
SHOW YOUR WORK!!
(this is linear combinations)

Answers

Answer:

x = 65, y = 25

Step-by-step explanation:

Given system of linear equations:

x + y = 90 2x - y = 105

Add up the equations to eliminate y:

x + 2x = 90 + 1053x = 195x = 65

Find y:

y + 65 = 90y = 90 - 65y = 25

solve the inequality z + 9 > 6 z > ?

( Equations and Inequalities )

Answers

Answer:

You have to switch sides so the answer is x<z+9

Step-by-step explanation:

Is 14,015,289 divisible by 8?

Answers

Answer:

yes but there will be a decimal

Step-by-step explanation:

How do u write x/7=14 in algebra tiles

Answers

Answer:

98 is the answer.

Step-by-step explanation:

x/7 = 14

=> 14 × 7 = 7 × x/7

=> x = 98

Therefore, 98 is the answer.

Hoped this helped.

The lengths two sides of a triangle are 10 cm and 11cm. Between what two measures should the length of the third side fall?

Answers

Step-by-step explanation:

a triangle can only be a triangle (all sides connect with each other), if every side is less than the sum of the other 2 sides.

so, the third side must be shorter than 10+11 = 21 and longer than 11-10 = 1, so that the side of 11 cm is shorter than the sum of the other two sides.

Answer:

1 < x < 21

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

11 - 10 < x < 11 + 10

1 < x < 21

What is the slope of the line graphed on the coordinate plane?

A graph with a line running through coordinates (-6, -1) and coordinates (6, 2)

Answers

Answer:

1/4

Step-by-step explanation:

use the slope formula, (y2-y1)/(x2-x1) , or rise over run.

this would give you 2-(-1) divided by 6-(-6)

giving you 3/12, reducing to 1/4

Integrate:Cos 7x/(1+sin**2(7x))

Answers

Answer:

7x/1+7sin(2)x

Step-by-step explanation:

2 1/2+x=5 1/3 PLEASE HELP

Answers

Answer:

Step-by-step explanation:

2 1/2 + x = 5 1/3 Change the mixed numbers to improper fractions

5/2 + x = 16/3 The lowest common multiple is 6. Multiply by 6

5*3 + 6x = 16*2

15 + 6x = 32 Subtract 15 from both sides.

6x = 32 - 15

6x = 17 Divide by 6

6x/6 = 17/6

x = 2 5/6

Check

5/2 + 17/6 = 16/3

15/6 + 17/6 = 32/6

32/6 = 32/6 The question checks.

(5 + 13 + 21 + ......... + 18) = ?

Answers

Correction:

5+13+21+...+181

First term = 5

Common difference = 13-5 = 8

Last term = an = 181

⇛a+(n-1)d = 181

⇛5+(n-1)(8) = 181

⇛ 5+8n-8 = 181

⇛ 8n-3 = 181

⇛ 8n = 181+3

⇛ 8n = 184

⇛n = 184/8

⇛ n = 23

Sum of the first n terms = Sn = (n/2)(a+an)

Sum of 23 terms = S 23

⇛(23/2)(5+181)

⇛ (23/2)(186)

⇛23×93

⇛2139

The following ordered pairs represent a function.
(-2,-4) (-1, -2) (0, 0) (1, 2) (2, 4)
Which two ordered pairs can be added to the given set and still have the set represent
a function?

Answers

Answer:

(-3,-6) and (3,6)

Step-by-step explanation:

First, use process of elimination on the answer choices with x coordinates already used in the relation, because a value of x cannot have 2 outputs, or y-values. This leaves you with 2 options. Hope I helped :D

Pls help is correct ASAP

Answers

yeah, its correct! :)

Answer ?? It’s multiplicity

Answers

I think A is the answer

Pre college need help

Answers

Answer:

check online for more information

Guys please i need help on this, i will give brainliest to the right answers

Answers

i think the answer is 4 hope it helps

13*10-20 im in a hurry

Answers

Answer: 110

Step-by-step explanation:

13*10 = 130-20 is 110

The answer: 13 × 10 - 20 = 130 - 20 = 110

OK done. Thank to me :>

10.) - 3x - y = - 36
4x + 4y = 72

Answers

Ok done. Thank to me:>

Help me with this ice cream problem lol.

Answers

Answer:

A is correct

Step-by-step explanation:

For lunch, I ate a toasted cheese sandwich and it has 450 calories and 16g protein with some baked potato fries and it has 230 calories and 3g protein. How much protein and calories did I eat in all?

Answers

Answer:

Give the person above me brainliest

Step-by-step explanation:

At a bowling alley, the cost of shoe rental is $2.75 and the cost per game is $4.75. If f (n) represents the total cost of shoe rental and n games, what is the recursive equation for f (n)?

f (n) = 2.75 + 4.75 + f (n − 1), f (0) = 2.75
f (n) = 4.75 + f (n − 1), f (0) = 2.75
f (n) = 2.75 + 4.75n, n > 0
f (n) = (2.75 + 4.75)n, n > 0

Answers

The recursive equation for f(n) will be:

f(n) = 2.75 + 4.75n, n > 0

The cost of the shoe rental = $2.75

The cost of 1 game = $2.75

The cost if n games = 4.75n

The total cost of shoe rental and n games = Cost of the shoe rental + cost of n games

Let the total cost of shoe rental and n games be f(n)

f(n) = 2.75 + 4.75n

Since at least 1 game will be played,

the recursive equation for f(n) will be:

f(n) = 2.75 + 4.75n, n > 0

Learn more on recursive functions here: https://brainly.com/question/11316313

Please help me in this 4th grader question, i was sick over the weekend

Answers

Answer:

[tex] = 825 - 657 \\ = 168answer.[/tex]

Step-by-step explanation:

MARK ME AS A BRAINLIST PLZ

Answer:

825 - 657 = 168

This is the answer, hope it helps you!!

If y’all show y’all work and do all the questions I add extra extra points

Answers

Answer:

For 5.) I believe the slope is 3/5, for 6.) the slope is -2/8 (-1/4 when simplified) and the y-int is 2, for 7.) the slope is 6/2 (3/1 when simplified), for 8.) the slope is -2/4 (-1/2 when simplified) + the y-int is -3, and for 9.) the slope is 1/6.

Step-by-step explanation:

5.) the slope is 3/5 because it rises 3 and runs 5 (from the two plotted points)

6.) the slope is -2/8 (-1/4) because from the two points, it runs 8 and drops 2 (so -2) + when simplified its -1/4 because -2/8 divided by 2 on top and bottom would get you -1/4. And y-int is 2 because on the y-axis, the line is going through 2.

7.) the slope is 6/2 (3/1) because it rises 6 points and runs 2 (from the two points) and when simplified (6/2 divided by 2 on both top and bottom) would get you 3/1.

8.) the slope is -2/4 (or -1/2) because it runs 4 and drops 2 (which would be -2), and when simplified it gets you -1/2.

9.) the slope is 1/6 because between the two points, you rise one and run 6. Which gets you 1/6

Not sure if these are all correct, but I hope this helps :)!

Evaluate 3x2 - 2xy + 4y2 for x = -1 and y = -2. .

Answers

Answer:

The answer is 12

Step-by-step explanation:

3x² - 2xy + 4y²

Let x = -2

y = -1

3(-2)² - 2(-2)(-1) + 4(-1)²

= 3(4) - 2(2) + 4(1)

= 12 - 4 + 4

= 12

NEED HELP ASAP! WHOEVER EXPLAINS FIRST GETS BRAINLIEST!!

Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve.

-2/5x-9<9/10

Answers

x = -99/4

GIMMIE brother

n is m% of what?
It DEFINITELY a variable

Answers

Yes it is a variable because it’s a letter in a equation

6-3y+(-7y)+5.6 i really need answers

Answers

Answer:

+2 • (25y + 29)/5

Step-by-step explanation:

what the words corresponding to the obtained value in the box provide on your answer sheet
[tex] \sqrt{2.5 \sqrt{8} } [/tex]

Answers

Answer:

4.47

Step-by-step explanation:

Hope it helps to you

7 grade math hellp mee

Answers

ANSWER: 40°
EXPLANATION: 180-140=40°

I’ll mark you brainless if you give me the answer

Answers

Answer:

x=8

Step-by-step explanation:

Never crosses the y-axis so x equals 8

Which of the following completes the formula of cos (a + B) =
A. sin a cos B - cos a sin B
B. sin a cos B + cos a sin B
O C. cos a cos B- sin a sin B
OD. cos a cos B+ sin a sin B

Answers

Answer:

cos a cos B-sin a sin B is the right answer

Other Questions

Porque las primeras grandes civilizaciones requirieron gobiernos centralizados y autoritarios? a small object is placed between two plane mirrors inclined at an angle of 60 to each other in a dark room how many images are seen explain Wages of 8,000 are earned by workers but not paid as of december 31 Hudson Manufacturing is an MNE based in the United States with operations in Asia. The firm is considering expansion into the European Union. Executives at the firm are debating whether central Europe or Eastern Europe would be best for the firm. Which of the following best supports a decision to establish operations in Eastern Europe?a. Hudson wants to implement high performance work system. b. Hudson plans to staff the foreign facility with local managers. c. Hudson wants to minimise costs by keeping wages low. e. Hudson recently lost money in a joint venture Explain each point to the executives as you decide on which point to support 12.915 to 2 decimal places A kite is a ........... quadrilateral Can somebody help me with this question Joss is a marketing consultant. Iris and Daphne are potential customers interested in commissioning Joss to undertake a market survey and compile the findings in a report. Iris is willing to pay $500 for the service while Daphne is willing to pay $800. Suppose that the opportunity cost of Joss's time is $1,200. Assume that Iris and Daphne do not know each other. Which of the following statements is true?a. only Iris will purchase Joss's services and Joss will undertake the job for her. b. only Daphne will purchase Joss's services and Joss will undertake the job for her. c. both Iris and Daphne will purchase Joss's services and Joss will undertake the job. d. both Iris and Daphne will want to purchase Joss's services but Joss will not be willing to undertake the job. Name the property shown by the statement a + b + 2 = 2 + a + b ZDAC = ZBAD.What is the length of CD?Round to one decimal place. A character who grows as a result of a conflict or major events can be described as? Suppose you obtain a chi-square statistic of 67.81. Are your results statistically significant if the critical value obtained from the distribution of chi-square is 3.84 with an alpha level of .05? Explain. ABC Company uses the allowance method for estimating bad debts. Record the following journal entries: 12/31 ABC Company estimates that $5,000 of accounts receivable will be uncollectible. 3/5 ABC Company wrote off a $1,200 account of a customer, B. Brown. A person can choose to work any amount from 0 to 52 weeks per year at a wage of $1000 per week.The government implements a welfare program in which the welfare system pays $5000 per year to people with no labor market earnings, but benefits are reduced by $0.50 for each $1 in labor market earnings that a person receives.a. Trueb. False Prior to a special advertising campaign, 23% of all adults recognized a particular companys logo. At the close of the campaign the marketing department commissioned a survey in which 311 of 1,200 randomly selected adults recognized the logo. Determine, at the .01 level of significance, whether the data provide sufficient evidence to conclude that more than 23% of all adults now recognize the companys logo. The population, P, of six towns with time t in years are given by the following exponential equations:(i) P = 1000 (1.08) Superscript t (ii) P = 600 (1.12) Superscript t(iii) P = 2500 (0.9) Superscript t (iv) P = 1200 (1.185) Superscript t(v) P = 800 (0.78) Superscript t (vi) 2000 (0.99) Superscript tWhich town decreasing the fastest?a.iic.iiib.vd.viPlease select the best answer from the choices providedABCD 20) solve: [tex] {8}^{2} + 2 = [/tex]21) solve: [tex]4(2x + 5y = [/tex]22) simplify the expression [tex]4( {2}^{2} + 30) - 4 = [/tex] Select all the correct answersHannibal is worried about consuming Information from blased media outlets. What are two questions Hannibal should consider when heconsumes Information from media?Who will this message benefit or who will gain from it?How many reviews did the message receive?Whose voice is excluded?Are other outlets sharing the same story? Compare the total number of modes for 4 moles of a monoatomic gas and 1 mole of a gas consisting of linear triatomic molecules (such as CO2 gas). If these two gases, initially at difference temperatures, were placed in the same container and allowed to reach equilibrium, which gas (if any) would have a greater change in temperature Calculate the relative atomic mass of MgO