Write the equation for each translation of the graph of y=|x+2|.
a) one unit up
b) one unit down
c) one unit to the left
d) one unit to the right

Answers

Answer 1
c. to the left

when the 2 is inside the absolute value it goes the opposite way so instead of right it would be to the left. If it were on the outside, then you would shift it up or down according to the + or -.
Answer 2

a) one unit up = Ix + 2I + 1

b) one unit down = Ix + 2I - 1

c) one unit to the left = Ix + 1I

d) one unit to the right = Ix + 3I

What is transformation on the graphs?

Let the function f(x) and g(x) are two real functions.

And g (x) = f (x) + k, where k is real numbers.

Function can be sketched by shifting f (x), k units vertically.

The direction of shift can be found by the value of k:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

The function provided by the basic function f(x) and the constant

g(x) = f(x - k),

may be drawn by horizontally moving the f(x) k unit coordinates.

The shift's direction depends on the value of k. Specifically,

The base graph moves k units to the right if k > 0, and

The base graph moves k units to the left if k < 0.

The graph of y = |x+2| is a V-shaped graph centered at x = -2.

To translate this graph, we need to modify the equation to shift it up/down or left/right.

Here are the equations for each translation:

a) To shift the graph one unit up, we need to add 1 to the equation:

y = |x+2| + 1

b) To shift the graph one unit down, we need to subtract 1 from the equation:

y = |x+2| - 1

c) To shift the graph one unit to the left, we need to replace x with (x+1) in the equation (since moving left means decreasing x by 1):

y = |(x+1)+2|

Simplifying this gives:

y = |x+3|

d) To shift the graph one unit to the right, we need to replace x with (x-1) in the equation (since moving right means increasing x by 1):

y = |(x-1)+2|

Simplifying this gives:

y = |x+1|

Therefore, all the required values are given above.

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Related Questions

For what value of k will the following linear system have infinitely many solutions?

2a+b=-6, 6a+kb=-18

Answers

There are infinitely many solutions to a linear equation with the same variable term on both sides of the equation.

We have to find the coefficient of "b"

from first equation:

2a + b = -6b = -6 - 2a

from second equation:

6a + kb = -18b = (-18 - 6a)/k

solve them simultaneously:

(-18 - 6a)/k = -6 - 2a(-18 - 6a)/(-6 - 2a) = kk = 3

CAN SO,EOME HELP ME.

Answers

According to the calculator the square root of 11 is 3.31662479036 which when rounded up sums up to 3 implying that the square root of 11 is closer to three than 4.
I don’t see anything it’s blank for me?

Julie plotted some points on a graph. Point D is 8 units away from the origin. Select each pair of possible coordinates of Point D. show work

A. (8, 8)

B. (0, 8)

C. (1, 8)

E. (8, 0)

D. (8, 1)

Answers

the answers are B and E

WILL CHOOSE BRAINLIEST!!!

Answers

A: all the other ones are true

GIVING BRAINLIEST!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A)(4,9)

B)(6,3)

C)(1,3)

D) (8,7)

E)(8,9)

Step-by-step explanation:

well, for creating points, it gets set up as (x,y) which it lays out in perfet format, and if you need help graphing, i can try and create it.

Answer:

Answer:

a)(4,9)

b)(6,3)

c)(1,3)

d) (8,7)

e)(8,9)

Step-by-step explanation:

WILL CHOOSE BRAINLIEST!!

A is at (-4,5) and A' is at (5,4), which description most accurately describes the transformation.

A. Rotation 90° Counter-Clockwise about the origin
B. Rotation 90° Clockwise about the origin
C. Reflection across the x-axis
D. Reflection across the y-axis

Answers

Answer:

c.

Step-by-step explanation:

u just filp it over and, well, there

The answer is c it’s reflection across the x axis

PLS HELP
Which statement about the data points in the second and third quartiles is true?


A: There are more data points in Q2 than Q3.

B: There are fewer data points in Q2 than Q3.

C: The data points in Q2 are more spread out than the data points in Q3.

D: The data points in Q2 are bunched together more than the data points in Q3.

Answers

Answer

C

Step-by-step explanation:

This shows that the interquartile range for Q2 is larger than Q3 so i think the answer is c

Answer:
The answer is c

math problem below answer please

Answers

Answer:

No, because the shape or figure is not overlapping.

Step-by-step explanation:

A tessellation of the plane is an arrangement of polygons which cover the plane without gaps or overlapping.

No because the equation is not overlapping

1. Design your own real-world scenario in which the solution requires the Pythagorean Theorem. Use complete sentences to describe the scenario.
2. Model your real-world scenario with an equation and a sketch.
3. In two or more complete sentences, explain the steps necessary to solve for the missing value in your real-world scenario. Include the solution in your explanation.

Answers

Answer:

this is not maths

is the answer

if you like my answer please like comment and mark me as brilliant

12 decimeters = dm deka will get brainiest if right

Answers

Answer:

0.12

Step-by-step explanation:

Decimeter is 100 times greater than dekameter

     

To rent a car, company A charges $55 per day and 33 cents per mile. Company B charges no daily fee, but 55 cents per mile. How many miles must you drive for Company B to cost the same as company A?

please show your work
and give the answer

Answers

Answer:

about 101 miles to equal the same amount as place A. (if this is daily")

Step-by-step explanation:

so how I went about this is first I added 55+0.33 because thats how much you need to drive one mile for one day with place A. and that equaled 50.30 so then I divided 50.30 by 0.55 because thats all it costs per mile for place B so I got 100.545454545 so i just rounded it up to 101

i hope im right plmn;)

Answer:

no they are not the same tax or rate because 33 cents off is company B

Step-by-step explanation:

88 cents for company A and 55 cents for company B

and company A charged a fee of 33 cents but company B did not

please help asap. please.

Answers





For the table

10 —> 4
1 —> 0.4
20 —> 8
40 —> 16
39 —> 15.6
10% of 40 is is 4, because you would use the equation 10/100 = x/40. You would cross multiply and get 4/40 = 10/100.

1% of 40 is the equation 1/100 = x/40, so 0.40 is the value of x.

Hope this helps, you should be able to solve the rest by cross multiplying.

Write the number for nineteen million fifty thousand.

Answers

Answer:

19,050,000

Step-by-step explanation:

19 million and then 50 thousand

Answer:

[tex]beinggreat78~here~to~provide![/tex]

The number in standard form is...

19,050,000

Find the value of n.

Answers

I think it’s 45 because it’s look like
The value of n is 45 I just did it! Trust me

can you plase help me with this math problem, its a little hard

Answers

Answer:278, 932

Step-by-step explanation:

They are very far from the other numbers.

Can someone help pls.

Answers

My goodness, this is rather confusing in the way it is worded. Nevertheless, I will attempt to do what I can. Just please keep in mind that this is my own interpretation of the problem, and therefore could be... incorrect.

I think, to start out, we could set up the problem like so

15 + t ≥ 26

because t is not a set number.

Then all that is needed is to subtract 15 from both sides, and the equation becomes

t ≥ 11

So the resulting answer is t ≥ 11.

I hope that my interpretation helps.

-Toremi

Answer:

Step-by-step explanation:

What is the division expression that is the same as 1/5 * 1/4 ?
A. 1/5 divide by 2
B. 1/5 divide by 3
C. 1/5 divide by 4
D. 1/5 divide by 5

Answers

Answer:

C. 1/5 divide by 4

Step-by-step explanation:

When you divide two fractions, you multiply the first fraction by the reciprocal of the other one. To find the reciprocal of the second fraction, yo just have to switch the value of the numerator and denominator (i.e. 4/1's reciprocal is 1/4).

Another important thing to note is that 1/5 x 1/4 is 1/20 because you multiply straight across numerators and denominators.

Now that we have some back ground information, let's which expression leads to 1/20!

A:

1/5 x 2/11/5 x 1/21/10Incorrect Answer Choice

B:

1/5 x 3/11/5 x 1/31/15Incorrect Answer Choice

C:

1/5 x 4/11/5 x 1/41/20Correct Answer Choice!

Therefore, the answer is C. 1/5 divide by 4.

Please do it without guessing and please give an explanation for the points

Answers

Answer:

Here is a dot plot you saw in an earlier task. It shows how long Elena’s bus rides to school took, in minutes, over 12 days.

A dot plot labeled “travel time in minutes.” The numbers 5 through 14 are indicated. The data is as follows. 5 minutes, 0 dots 6 minutes, 2 dots 7 minutes, 1 dot 8 minutes, 3 dots 9 minutes, 3 dots 10 minutes, 2 dots 11 minutes, 0 dots 12 minutes, 1 dot 13 minutes, 0 dots 14 minutes, 0 dots

Step-by-step explanation:

follow the direction you can understand

The mailbox in his scale drawing is 7.5 centimeters tall. The scale of the drawing is 1 cm = 0.5 ft. How many feet tall is the mailbox that Sammy designed?

Answers

Answer:

3.75 feet because that is math

Step-by-step explanation:

7.5 x 0.5

Answer:

3.75

Step-by-step explanation:

7.5 x 0.5 = 3.75

WILL CHOOSE BRAINLIEST!!!! Write the equation for the line of best fit for this data.
ANSWER CHOICES:
A: y=3/4x+3.75
B: y=-6/5x+1/2
C:3x+2
D: x+4

Answers

Answer:

THE ANSWER IS B B: y=-6/5x+1/2 NOT SURE OF MY ANSWER STILL YOUNG UWU

Step-by-step explanation:

Answer:

B. y = -6/5 x + 1/2

Step-by-step explanation:

You can use technology to enter data and have your program or calculator find the line of best fit. But if not, you can plot the points and see which line works best. See image. I put all the lines of all the answers, but once the points of the data were on the graph, only the line with negative slope would fit. see image.

The dot plot shows the number of magazines bought in a month by 21 people in a office: (check attachment) Is the median or the mean a better center for this data and why?

A) Median; because the data is not normally distributed and clusters on the left
B) Mean; because the data is not normally distributed and clusters on the left
C) Median; because the data is symmetric with an outlier
D) Mean; because the data is symmetric with an outlier

Answers

Answer:

A is the answer

Step-by-step explanation:

Have a nice day friend.!::::))))

this is khan academy and i need help

Answers

Answer: -4.2c + 4.8d
Explanation: you multiply 0.6 by -7c, which results in -4.2c. Then you multiply 0.6 by 8d, which results in 4.8d
-4.2c+4.8d

you have to multiple each term by 0.6

-7c•0.6 = -4.2c

8d•0.6= 4.8d

giving you the expression -4.2c+4.8d

so whats 1,000 x 1,000?

Answers

Answer:

1, 000, 000

Step-by-step explanation:
There are 6 zeros, so add them to the 1.

The product of given numbers is 1,000,000.

What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

We need to find the product of 1000×1000.

Now, 1000×1000

= 1,000,000

Therefore, the product of given numbers is 1,000,000.

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Triangle PRQ was transformed to create triangle P'R'Q'. if point P started at coordinates (6,-54), and became point P' at coordinates (-6,-54), describe the transformation that was applied to triangle PRQ.

Answers

PRQ was translated 90 degrees clockwise.

If (6,-54) is located in q4 (+,-) and rotated to land on (-6,-54) which is in q3 then it was rotated 90 degrees clockwise.

Answer:

PRQ was translated 90 degrees clockwise.

If (6,-54) is located in q4 (+,-) and rotated to land on (-6,-54) which is in q3 then it was rotated 90 degrees clockwise.

Step-by-step explanation:

WHO ANSWER'S THE FIRST WITH THE CORRECT ANSWER WILL GET FREE BRAINLIST!!!
Michiko claims that to solve the system of linear equations 15x + 8y = 1 and 21x + 4y = -13, instead of multiplying the second equation by –2 and then adding the equations, she could multiply the second equation by 2 and then subtract the second equation from the first equation. Which statement is correct?

A: Michiko is right for this system of linear equations, but her method will not work for other systems of linear equations.

B: Michiko is right for this system of linear equations, and her method will also work for other systems of linear equations.

C: Michiko is wrong because her method will give the opposite of the correct value for x for any system of linear equations.

D: Michiko is wrong because her method will give the opposite of the correct value for y for any system of linear equations.

Answers

Answer: B) Michiko is right for this system of linear equations, and her method will also work for other systems of linear equations

Hope this helped

Michiko is right for this system of linear equations, but her method will not work for other systems of linear equations, option A is correct.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

To solve the system of linear equations 15x + 8y = 1 and 21x + 4y = -13, Michiko suggests multiplying the second equation by 2 and then subtracting the second equation from the first equation.

Multiplying the second equation by 2 gives:

42x + 8y = -26

Now, subtracting the second equation from the first equation gives:

15x + 8y - (42x + 8y) = 1 - (-26)

Simplifying this equation gives:

-27x = 27

Divide both sides by 27

x=-1

we can substitute x = -1 into either of the original equations.

Using the first equation, we get:

15(-1) + 8y = 1

Simplifying this equation gives:

8y = 16

Dividing both sides by 8 gives:

y = 2

Hence, Michiko is right for this system of linear equations, but her method will not work for other systems of linear equations, option A is correct.

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Please answer both if possible

Answers

Answer:

2. Surface Area = 576m^2

3. Surface Area = 300 yd^2

Step-by-step explanation:

2.

Surface Area of Prism Formula:

Triangle Formula: Area = 1/2 * Base * Height

Left Triangle: Area = 1/2 * 8m * 6m = 1/2 * 48 = 24 m^2

Right Triangle:  Area = 24m^2

Rectangle Formula: Area = Length * Width

Top Rectangle: Area = 22m * 6m = 132m^2

Middle Rectangle: Area = 22m * 8m = 176m^2

Bottom Rectangle: Area = 22m * 10m = 220m^2

Add Total Surface Area:

Surface Area = LTrig + RTrig + TopRect + MidRect + BotRect

Surface Area = 24  + 24 + 132 + 176 + 220

Surface Area = 576 m^2

3.

Surface Area of Prism Formula:

Triangle Formula: Area = 1/2 * Base * Height

Left Triangle: Area = 1/2 * 9yd * 4yd = 1/2 * 36 = 18 yd^2

Right Triangle:  Area = 18 ydm^2

Rectangle Formula: Area = Length * Width

Top Rectangle: Area = 12yd * 8yd = 96yd^2

Middle Rectangle: Area = 12yd * 5yd = 60yd^2

Bottom Rectangle: Area = 12yd * 9yd = 108yd^2

Add Total Surface Area:

Surface Area = LTrig + RTrig + TopRect + MidRect + BotRect

Surface Area = 18 + 18 + 96 + 60 + 108

Surface Area = 300 yd^2

I am not sure if there is a short cut.

576m^2
300yd^2
Hope this helps

So, ima be sending out a bunch of questions due to me wanting to keep a good grade in math so....cash in ..(Please help me with some math problems)

Answers

Answer:

questions 2 and 3 are correct number 7 is 40

Step-by-step explanation:

Complete the equation and match it to its corresponding number of solutions.

Answers

Answer:

A and infinite solutions

Step-by-step explanation:

4/5x - 8 = 4(1/5x - 2)

4(1/5x - 2)

4/1 x 1/5x = 4/5x

4 x (-2) = -8

Put them together and you get:

4/5x - 8 AND

4/5x - 8 = 4/5x - 8

IF 2 SIDES OF AN EQUATION ARE THE SAME THEN THE ANSWERS ARE INFINITE

YOU CAN TURN THE EQUATION INTO JUST (x = x)

Answer

B and One Solution

Step-by-step explanation:

4/5x - 8 = -(4/5x + 2)

-(4/5x + 2) = -4/5x - 2

ADD 4/5x TO THE BOTH SIDES

8/5x - 8 = -2

ADD 8 TO BOTH SIDES

8/5x = 6

DIVIDE BOTH SIDES BY 8/5 OR 1.6

x = 3.75

You can get through the last one. Reply if you need me to

Write the equation for each translation of the graph y=Ix+2I.
A.) one unit up
B.) one unit down
C.) one unit to the left
D.) one unit to the right

Answers

Answer:

d

Step-by-step explanation:

because it tells you how to do it in the equation.

y=1+|x+2| is A, B is y=|x+2|-1, C is y=|x+3| and D is y=|x+1|

A hoodie was $40 but is marked up 35%. What is the selling price?

Answers

I think the selling price is 54

Answer: The selling price is $54 and the 35% markup is equal to 14 dollars.

Other Questions
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