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?

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A is correct

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Answer: 110

Step-by-step explanation:

13*10 = 130-20 is 110

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

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

Step-by-step explanation:

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


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x = -99/4

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Answer:

825 - 657 = 168

This is the answer, hope it helps you!!

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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)

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yeah, its correct! :)

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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

The following ordered pairs represent a function.
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Answers

Answer:

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

Step-by-step explanation:

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Answer:

x=8

Step-by-step explanation:

Never crosses the y-axis so x equals 8

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Answer:

4.47

Step-by-step explanation:

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i think the answer is 4 hope it helps

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Answer:

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Answer:

The answer is 12

Step-by-step explanation:

3x² - 2xy + 4y²

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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:
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Answers

Answer:

x = 65, y = 25

Step-by-step explanation:

Given system of linear equations:

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Answer:

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Step-by-step explanation:

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Answers

Correction:

5+13+21+...+181

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⇛5+(n-1)(8) = 181

⇛ 5+8n-8 = 181

⇛ 8n-3 = 181

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⇛ 8n = 184

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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.

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
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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

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.

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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 :)!

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