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

[tex]y = |x + 2| [/tex]

____________________________________________

a ) one unit up

As you know all kind of vertical transfers are along the y-axis thus :

[tex]y = |x + 2| + 1[/tex]

____________________________________________

b ) one unit down

[tex]y = | x + 2| - 1[/tex]

_____________________________________________

c ) one unit to the left

Working with the operation along the x-axis are all opposite so when the question say transfer the graph on unit to left it means to decrease all x values by one unit and we have to do the inverse work with mean to increase all the x values by one unit :

[tex]y = |(x +1 ) + 2| [/tex]

[tex]y = |x + 3| [/tex]

_____________________________________________

d ) one unit to the right

[tex]y = |(x - 1) + 2| [/tex]

[tex]y = |x + 1| [/tex]

And we're done...

Take care ♡♡♡♡♡

Related Questions


Of the 30 students in the sixth period math class, 8 are also in the same fourth period science class. Which can be
used to determine the probability that if three students are chosen at random from the math class to do a group
project, the first student chosen to be in the group is in the fourth period science class but the other two are not?
a [8/30][22/29][21/28
b [8/30][8/30][8/30]
c [8/30][7/29][6/28]
d [8/30][22/30][21/30]

Answers

Answer:

I think the answer is b sorry if the answer is wrong

Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) - 6 = 0?

Answers

Answer:

[tex]x^2[/tex] + 9x + 8 = 0

Step-by-step explanation:

First, we have to simplify this quadratic equation:

(x+2)^2 + 5(x+2) - 6 = 0

x^2 + 4x + 4 + 5x + 10 - 6 = 0

x^2 + 9x + 8 = 0

A synthetic diamond has a density of 3.5 grams per cubic centimeter and a mass of 6.3 grams. What is it's volume?

Answers

Answer: 1.8 cubic cm

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

The answer would be team D as their range is 24.

Step-by-step explanation:

Team A: range of 27

Team B: Range of 32

Team C: Range of 27

Team D: Range of 24

Team D has the lowest range found by subtracting the larger number 46 by the smaller number 22.

Need help asap pls ty

Answers

its A babygurl trust me im zaddy

A designer is adding a pendant to a jewelry collection. the shape of the pendent can be defined by the equation y = startfraction 1 over 20 endfraction x squared endfraction. if the largest dimension of the pendant is 10 cm wide, what is the greatest length? 1.25 cm 2.50 cm 5 cm 10 cm

Answers

If the largest dimension of the pendant is 10 cm wide then the greatest length will be 5 cm. Then the correct option is C.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

A designer is adding a pendant to a jewelry collection.

The shape of the pendant can be defined by the equation

[tex]\rm y = \dfrac{1}{20}\ x^2[/tex]

If the largest dimension of the pendant is 10 cm wide then the greatest length will be

[tex]\rm y = \dfrac{1}{20}\ (10)^2\\\\\\\rm y = \dfrac{1}{20}\ 100\\\\\\\rm y = 5[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

1.25 cm

Step-by-step explanation:


Classify the following triangle. Check all that apply

Answers

Answer:

The answer is F, A

Step-by-step explanation:

It is a right and isosceles triangle

Answer:

right and isosceles

Step-by-step explanation:

the sum of the degree measurement of all triangles is 180
given are 45 and 45
45 + 45 = 90 so the other angle must be 90
a triangle with an angle of 90 degrees is always a right triangle

also
8^2 + 8^2 = 11.3^2
64 + 64 = 127.69
this is close enough to being true

an isosceles triangle is a triangle with 2 equal side lengths
this is an isosceles triangle because 8 = 8

5/8 + 7/4 add these two together

Answers

Answer:

19/8

Step-by-step explanation:

[tex]\frac{5}{8} + \frac{7}{4} = \frac{5}{8} + \frac{14}{8} = \frac{19}{8} = 2\frac{3}{8}[/tex]

TO ALL AMAZING MATHMATICIANS PLS HELP ASAP, please do not put links in I won't click them and I know they're not the correct answer. Please these are urgent and I know its kind of tedious but i need help. Thank you so much to the kind smart person who ends up answering this.

Answers

Answer:

firast divide it by the nearest decimal, then convert your answer into simplest form and you will have your answer.

Step-by-step explanation:

Answer:

can you guys please teach me how to do that

Evaluate the formula for the perimeter of a rectangle to solve the problem. Then check all that apply.
ANSWERS:
First, write the formula for the perimeter of a rectangle: P = 2l + 2w.
Next, use parentheses when you substitute 50 for l and 25 for w.
After multiplying, add 100 and 50.
The school needs 5,000 meters of fencing.
The school needs 150 meters of fencing.

Answers

1. 2(8x – 1) + 2(2x + 4)

2. 16x – 2 + 4x + 8

3. (20x + 6)

Step-by-step explanation:

The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2( l + w)

Given the following parameters

length l = 8x - 1

width w = 2x + 4

Substitute the expressions for the length and width into the formula;

P = 2(8x - 1 + 2x + 4)

P = 2(10x + 3)

Distribute 2 over each term in the parenthesis

P = 2(10x) + 2(3)

P = 20x + 6

Hence the perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6

if i help please give brainly

Answer:

below

Step-by-step explanation:

A B C E

all of them but D

Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to compare the ratios. Finally make sure to answer how the ratios compare. ~ 100 POINTS AND ILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECTLY AND 5 SENTENCES NEEDED

Answers

Step-by-step explanation:

The ratio's can be expressed as fractions and you may compare those.

5 : 8 = 5/87 : 9 = 7/9

In order to compare fractions you need to bring them into equal denominator.

8 and 9 have LCM of 8*9 = 72 since they have no common factors.

The equivalent fractions with common denominator are:

5/8 = 9*5/(9*8) = 45/727/9 = 8*7/(8*9) = 56/72

Now we can compare the fractions:

45/72 < 56/72, since 45 < 56

Find the surface area of the rectangular prism.
7 mi
4 mi
2 mi
Answer:
mi?
Suteri Anar

Answers

Answer:

Right rectangular prism

Solve for surface area

A=100

l Length

7

w Width

4

h Height

2

Solution

A=2(wl+hl+hw)=2·(4·7+2·7+2·4)=100

the diagram shows the cross-section of a wall of a cinema.

Answers

Answer:

280 m²£133

Step-by-step explanation:

The area of the wall is the sum of the areas of the different sections of the wall. The cost to paint it will be the product of the cost of a tin of paint and the number of tins required.

__

Here, the shape of the wall can be divided into two trapezoids and a rectangle. Each shape has a corresponding area formula. Left-to-right, their areas are ...

Left Trapezoid

  A = 1/2(b1 +b2)h

  A = 1/2(10 m +11 m)(4 m) = 42 m²

Middle Rectangle

  A = LW

  A = (13 m)(11 m) = 143 m²

Right Trapezoid

  A = 1/2(b1 +b2)h

  A = 1/2(11 m +8 m)(10 m) = 95 m²

Wall Area

The total area to be painted is the sum of the above areas:

  total area = 42 m² +143 m² +95 m² = 280 m²

The area that needs to be painted is 280 m².

__

A tin of paint covers 15 m², so the number of tins needed is ...

  (15 m²)t = 280 m²

  t = 280/15 = 18 2/3 . . . . . . divide by the coefficient of t

We can only buy whole tins, so we need to buy 19 tins. Their cost will be ...

  (£7 /tin)(19 tins) = £133

It will cost £133 to paint the wall.

What is the distance between the points (-1, 8) and (4.8) in the coordinate plane?

Answers

To find the distance between any points:

 ⇒ we must know the distance formula

     ⇒ Distance Formula: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 } }[/tex]

[tex](x_{1} ,y_{1} )[/tex] --> (-1,8)[tex](x_{2} ,y_{2} )[/tex] --> (4,8)

Let's Solve:

    Distance Formula = [tex]\sqrt{(4--1)^2+(8-8)^2} =\sqrt{5^2} =\sqrt{25}[/tex] = 5

Thus the distance between the points is 5

Hope that helps!

find the volume
6ft
3ft
4tt

Answers

Answer:

72 i think.

Step-by-step explanation:

Mr. Beasley's science class wants to decorate one wall in the classroom like an underwater scene. They use sheets of blue poster board that are 2 feet long and 2 feet wide. How many sheets of blue poster board are used to cover the entire area of the wall? use math words and symbols to explain how you solve

Answers

Answer:

however big her wall is. if you give me how big her wall is i can help u more on this

Step-by-step explanation:

G= {(-5,5), (6, 8), (-5, -5)}
What is the domain and range

Answers

Answer:

I'm pretty sure domain is x and range is why which would mean that:

domain: -5,6

range: 5,8,-5

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting you time and I hope you find the right answer and may God bless you:)

I need help please 15 points

Answers

27.6
43.136/12.8=3.37
44.484/13.2= 3.37
45.832/13.6= 3.37

So you take the 8.2 cubic centimeters and multiply them by 3.37 and that gives you 27.634.

what is the volume of this shape?

Answers

Answer:

480 [tex]cm^2[/tex]

Step-by-step explanation:

8 x 6 x 10

Length x Width x Height.

A bicycle wheel has a radius of 1.25 ft. How many feet will the bicycle travel after 75 revolutions? If necessary, round your answer to the nearest foot.

Answers

2.5 bc if u add them up and down u get 2.5

The bicycle will travel approximately 588.75 feet after 75 revolutions. Rounded to the nearest foot, the answer is 589 feet.

What is circumference?

The distance along a circle's perimeter is referred to as its circumference.

The distance traveled by bicycle in one revolution is equal to the circumference of the wheel.

The circumference of a circle is given by the formula:

C = 2πr

where r is the radius of the circle and π is approximately 3.14.

In this case, the radius of the bicycle wheel is 1.25 ft.

Therefore, the circumference of the wheel is:

C = 2π(1.25) = 2.5π ft

After 75 revolutions, the distance traveled by bicycle is:

distance = 75 revolutions × 2.5π ft/revolution

distance = 187.5π ft

Using a calculator, we can approximate π as 3.14 and calculate:

distance ≈ 588.75 ft

Therefore, distance = 589 ft.

To learn more about the circumference;

https://brainly.com/question/12512221

#SPJ7

9/25 of 5kg is equal to ?

Answers

Answer:

1.8 kg

...............

Answer:

1.8 kg

Step-by-step explanation:

please note the " / " symbol means "divided by"

9 / 25 of 5

to work this out, we first do 5 / 25 and then the answer x 9

so 5 / 25 = 0.2

0.2 x 9 = 1.8

1.8kg or 1,800g

Hope this makes sense. If you need further explanation, let me know!

- profparis

If I helped you, a brainliest would be appreciated :D

Use the Distributive Property to expand 4(x+3)

Answers

Answer:

4x+12

Step-by-step explanation:

4(x+3)=4x+12.

You use the distributive property by multiplying both numbers in the parentheses by 4

Answer:

4x +12

Step-by-step explanation:

Distributive property: a*(b + c) = (a *b)+(a *c)

Here, a = 4 ; b = x and c = 3

4*(x + 3) = 4*x + 4*3

             = 4x + 12

Demarcus has to wrap a gift for his friend's birthday party. the gift is in a rectangular box with the dimensions shown below. he's trying to figure out how much gift wrap he needs to cover the entire box. should he calculate the total surface area or the lateral surface area? pick the right measurement and then calculate it for him.

Answers

Amount of gift wrap to cover the entire box = total surface area of rectangular box = 1,048 in.².

What is the Total Surface Area of a Rectangular Box?

The total surface area of a rectangular box is the area of all the faces of the box = 2(wl + hl + hw).

Therefore, to find the material that will cover the whole rectangular box, Demarcus should find its total surface area, given the following dimensions:

l = 20 in.w = 8 in.h = 13 in.

Plug in the values into TSA = 2(wl + hl + hw):

Total surface area of rectangular box = 2(8×20 + 13×20 + 13×8) = 1,048 in.²

Learn more about total surface area of rectangular box on:

https://brainly.com/question/24448247

What is the value of x in the figure?

Enter your answer in the box.

x =

Answers

Answer: x = 29

Step-by-step explanation:

Complementary angle. 90-61=29. Basically finding what the number is shown from minus 90 since its complementary. :)

What is the value of the expression
below?
8 - 3116
A. -40
-
B. -4
C.
2
D.
20

Answers

Answer:

i do not understand how you wrote this please explain better

Step-by-step explanation:

1. If PQ || SR and PQRS is an isosceles trapezoid,
find m<1.
A. 30°
B. 32°
C. 34°
D. 36°

Answers

Answer:

B. 32°

Step-by-step explanation:

Finding ∠S and ∠R

∠S = 58°∠S = ∠R (Isoceles trapezoid)⇒ ∠R = 58°

Similarly, ∠P = ∠Q (same reason as above)

Applying the Angle Sum Property of Quadrilaterals,

∠P + ∠Q + ∠R + ∠S = 360°2∠P + 2∠S = 360°∠P + ∠S = 180°∠P = 180° - 58°∠P = 122° = ∠Q

Finding the missing angles of the triangle

Left angle : ∠x + 96° = 122°∠x = 26°

Applying the Angle Sum Property of Triangles,

∠x + ∠Q + ∠1 = 180°26° + 122° + ∠1 = 180°∠1 = 180° - 148°∠1 = 32°

what is the value of the expression below 2816 * 7

Answers

Answer:

2816 x 7 is 19712.

Step-by-step explanation:

I'm not going into detail, but simply, use a calculator

Answer:

the answer is 19,712

Step-by-step explanation:

ur welcome

Verify the following statements and name the property.
A- -6+(+2)
B- 19+(-2)=(-2)+19
C- -7+(-2)

Answers

A- -6-2=2-6
-4=-4
communicative

B-communicative
19-2=2-19
17=17
communicative

C- -7+-2=-9
closure


solution:A- -6+(+2)

[tex] - 6 - 2[/tex]

[tex] = - 4[/tex]

commutative property.

B- 19+(-2)=(-2)+19

[tex] 19 - 2[/tex]

[tex] = 17[/tex]

commutative property.

C- -7+(-2)

[tex] - 7 - 2[/tex]

[tex] = - 9[/tex]

closure property.

Solve the equation -4x^3=32

Answers

Answer:

-2

Step-by-step explanation:

-4x^3 = 32

x^3 = -8

take the cube root of both sides.

x = -2

[tex]-4x^3= 32\\\\\implies x^3 = -\dfrac{32}4\\\\\implies x^3 = -8\\\\\implies x^3 +8 = 0\\\\\implies x^3 +2^3 =0\\\\\implies (x+2)(x^2 -2x +2^2)=0\\\\\implies (x+2)(x^2 -2x +4) = 0\\\\\implies x +2 =0~~~\text{or} ~~~~x^2 -2x +4 = 0\\ \\\implies x = -2 ~~~~~~\text{or} ~~~~ x= \dfrac{2 \pm\sqrt{-12}}{2}=\dfrac{2 \pm i\sqrt{12}}2}=\dfrac{2\pm2i\sqrt3}{2}=1\pm i\sqrt 3\\\\\text{Hence,}~ x = -2,~~ x = 1+i\sqrt 3,~~~ x= 1-i\sqrt3[/tex]

A right circular cylinder has a height of ​1934​ ft and a diameter ​125​ times its height.

What is the volume of the cylinder?

Enter your answer as a decimal in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.

Answers

Answer:

88772677020890.30

Step-by-step explanation:

To calculate its volume, we need to know two parameters - the radius (or diameter) and height:

cylinder_volume = π * cylinder_radius² * cylinder_height

Answer:

11852.97

Step-by-step explanation:

is the correct answer took the test on k12

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