Write the expressions for when you translate the graph of y= x one unit up, one unit down, one unit to the left, one unit to the right

Answers

Answer 1

Answer:

Step-by-step explanation:

One unit up:  y = x + 1

One unit down:  y = x - 1

One unit to the left:  y = x + 1

One unit to the right:  y = x - 1

Answer 2

Final answer:

To translate the graph of y = x, add or subtract from either x or y in the equation; for example, translating one unit up is expressed as y = x + 1.

Explanation:

To translate the graph of the function y = x in various directions, we apply different transformations to the equation. For each translation, there's a specific algebraic manipulation:

One unit up: y = x + 1One unit down: y = x - 1One unit to the left: y = x + 1One unit to the right: y = x - 1

Shifting a graph vertically involves adding or subtracting from the y-value, while shifting horizontally involves adding or subtracting from the x-value before it is plugged into the function.


Related Questions

50 POINTS!! HELP ME PLEASE HURRY IM RUNNING OUT OF TIME!!!

Find the volume of each figure to the nearest tenth.

Answers

Volume of sphere = 4/3 x PI x r^3

= 4/3 x 3.14 x 6^3

= 904.3 cubic meters

Volume of cone = PI x r^2 x h/3

h = √13^2-5^2 = 12

= 3.14 x 5^2 x 12/3

= 314 cubic meters

The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 7 unit and the width is Fraction 3 over 7 unit, what is the perimeter of the rectangle in units? (3 points)

Answers

LENGTH=2/7

WIDTH= 3/7

Perimeter is 2l+2w

Length= 2/7+ 2/7 is 4/7

Width= 3/7 + 3/7 is 6/7

Answer is 4/7+ 6/7 is 10/7

Answer= 10/7 = 1 3/7

Answer:

1 3/7

Step-by-step explanation:

Let P represent the statement "Mary works at the water park." Let Q represent the statement "Mary takes college classes."
Which symbolic notation represents the statement "Mary works at the water park or takes college classes." ?

A. P ∨ Q
B. P ∧ Q
C. P → Q
D. P ↔ Q

Answers

b is the correct answer

Step-by-step explanation:

Final answer:

The symbolic notation that represents the statement 'Mary works at the water park or takes college classes' is P ∨ Q.

Explanation:

The symbolic notation that represents the statement 'Mary works at the water park or takes college classes' is P ∨ Q.

The '∨' symbol represents the logical operator 'or', which indicates that either statement P or statement Q (or both) can be true for the overall statement to be true.

In this case, Mary can work at the water park, take college classes, or do both.

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PLZ HELP
Robert makes a monthly budget. His monthly
allowance is $40. He makes $25 each month from
mowing the neighbor’s yard. Robert’s monthly
expenses are $75. How much does he need to earn
from babysitting to balance his budget?
A $75
B $10
C $50
D $35

Answers

40 plus 25 =65, so if you take 65 from 75 you get 10 you need to make at least 10$

A plane intersecting a cube can create a cross section that is a decagon? True or false

Answers

Answer: False

Step-by-step explanation:

At Madison High School each student studies exactly one foreign language. Three-fifths of the students take Spanish, and one-fourth of the remaining students take German. If all of the others take French, what ­percent of the students take French?
PLEASE HELP

Answers

30%



Start off with 100%. Now, subtract 3/5, or 60%, to get 40%.

Take 1/4, or 25%, of 40% away. This means you subtract another 10% from 40%, leaving 30%. There’s the answer.



Please consider marking this answer as Brainliest to help me advance.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%. The ­percent of the students who took French is 30%.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that Three-fifths of the students take Spanish, and one-fourth of the remaining students take German. Therefore, the number of students who took french is,

Number of students who took french = 1 - 3/5 - (2/5 × 1/4)

                                                              = 1 -0.6 -0.1

                                                              = 0.3

                                                              = 30%

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PLEZ HELP ME ASAP 21.66÷5.7

Answers

Answer: 3.8

Step-by-step explanation: See the attached file!

Alice took out a $15,000 loan for college. She is borrowing money from two banks. Bank A charges an interest rate of 6%, and Bank B charges an interest rate of 7%. After one year, Alice owes $960 in interest. How much money did she borrow from Bank A?

Answers

Answer:

Final answer is $9000.

Step-by-step explanation:

Given that Alice took out a $15,000 loan for college. She is borrowing money from two banks. Bank A charges an interest rate of 6%, and Bank B charges an interest rate of 7%. After one year, Alice owes $960 in interest.

Now we need to find out about how much money did she borrow from Bank A.

So let's assume that money borrowed from bank A = x

then money borrowed from bank B = 15000-x

Interest from bank A = 6% of x = 0.06x

Interest from bank B = 7% of (15000-x) = 0.07(15000-x)

Given total interest is $960. So we can write equation:

0.06x+0.07(15000-x)=960

0.06x+1050-0.07x=960

1050-0.01x=960

-0.01x=960-1050

-0.01x=-90

[tex]x=\frac{-90}{-0.01}[/tex]

x=9000

Hence final answer is $9000.

Answer:

The amount borrowed from bank A = $9000

Step-by-step explanation:

Formula:

I = PNR/100

P - Principle amount

N - Number of years

R - Rate of interest

It is given that,Alice took out a $15,000 loan for college. Bank A charges an interest rate of 6%, and Bank B charges an interest rate of 7%. After one year, Alice owes $960 in interest.

Let 'x' be the amount borrowed from Bank A

Then the amount borrowed from Bank B = 15000 - x

To find the value of x

I = PNR/100

Here I = $960

(x*1*6)/100 + (15000 - x)*1*7/100 = 960

6x/100 + (15000*7)/100  - 7x/100 = 960

1050 - x/100 = 960

x/100 = 1050 - 960 = 90

x = 90 * 100 = 9000

Therefore the amount borrowed from bank A = $9000

Use a half-angle identity to find the exact solution of cos 3 pi / 8

Answers

Answer:

-[tex]\sqrt{\frac{2-\sqrt{2}}{4}[/tex]

Step-by-step explanation:

The cosine half-angle formula is

[tex]cos\frac{\pi }{2}[/tex]=±[tex]\sqrt{\frac{1+cosx}{2} }[/tex]

we can write

[tex]cos \frac{3\pi }{8}[/tex]

as

[tex]cos\frac{\frac{3\pi }{4} }{2}[/tex]

=-[tex]\sqrt{\frac{1+cos\frac{3\pi}{4} }{2}[/tex]

=-[tex]\sqrt{\frac{1-\frac{\sqrt{2}}{2}}{2}[/tex]

=-[tex]\sqrt{\frac{2-\sqrt{2}}{4}[/tex]

(cosine is negative is in second quadrant)

Using the half angle identity, the exact value of cos 3 pi / 8 is (√2 - 1) / 2√2.

Given a trigonometric expression,

cos 3π/8

We have to find the exact value of this using the half angle identity.

The half angle identity in terms of cosine function is,

cos (x/2) = ± √[(1 + cos x) / 2]

Here the angle is 3π/8.

This can be written as,

3π/8 = 3π/4 / 2

Substituting to the formula,

cos (3π/4/2) = √[(1 + cos 3π/4) / 2]

Now,

cos 3π/4 = cos (π - π/4)

               = -cos(π/4)

               = - 1/√2

Substituting to the formula,

cos (3π/4/2) = √[(1 - 1/√2) / 2]

                    = (√2 - 1) / 2√2

Hence the value is (√2 - 1) / 2√2.

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can someone help me.

Answers

Answer:

[tex]\large\boxed{x=\pm\sqrt{10}}[/tex]

Step-by-step explanation:

[tex]x^2=10\Rightarrow x=\pm\sqrt{10}\\\\\text{because}\ (-\sqrt{10})^2=10\ \text{and}\ (\sqrt{10})^2=10.\\\\\text{used}\ (\sqrt{a})^2=a[/tex]

How many committees or three people are possible from a group of 12

Answers

I thinks its 4 if that's one of your answers. It says of 3 people from a group of 12. And a 3 and 4 are both factors of 12. 3 x 4 = 12.

The number of possible committees of three people from a group of 12 can be found by using combinations, resulting in 220 possible committees.

The number of committees of three people possible from a group of 12 can be calculated using combinations.

To choose 3 people out of 12, you use the combination formula: C(12,3) = 220.

Therefore, there are 220 possible committees of three people from a group of 12.

Which even number comes right before 29?

Answers

Answer:

28

Step-by-step explanation:

0, 2, 4, 6, 8, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 are even numbers.

mark as brainsliest♡

Answer:

28

Step-by-step explanation:

29, 28, 27

28 is before 29 and its even fam

What is the distance between the points (6, −3) and (6, 5)?

Answers

The distance between the points (6, −3) and (6, 5) is 8 units.

How to calculate the distance between two points ?

The distance between two points, (x1,y1) and (x2,y2) is calculated by using the distance formula in coordinate geometry.

According to distance formula,

Distance = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]  units.

How to find the distance between two points in the question ?

Given points are (6,-3) and (6,5).

Using the distance formula for calculating the distance -

Distance = [tex]\sqrt{(6 - 6)^{2} + (-3 - 5)^{2} }[/tex] units = [tex]\sqrt{8^{2} }[/tex] units = [tex]8[/tex] units

Therefore, the distance between the points (6, −3) and (6, 5) is 8 units.

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Final answer:

To find the distance between the points (6, -3) and (6, 5), calculate the absolute value of the difference between the y-coordinates, resulting in a distance of 8 units.

Explanation:

The distance between the points (6, −3) and (6, 5) can be found using the distance formula, which is derived from the Pythagorean Theorem. In this particular case, since the x-coordinates of both points are the same, the distance is simply the absolute value of the difference in the y-coordinates.

To calculate the distance (d):
d = |y2 − y1|
d = |5 − (−3)|
d = |5 + 3|
d = |8|
d = 8

Therefore, the distance between the points (6, −3) and (6, 5) is 8 units.

How much hot dogs was sold on Wednesday? musiclover10045, This is a question you need to answer...

Answers

Answer:

32-28=4

Step-by-step explanation:

See the attachment :)

Answer:

4

Step-by-step explanation:

he started with 32 the he had 28 and 32-28 is 4

How long does it take to get to space

Answers

Answer:

At 3,500 MPH, the shuttle is traveling approximately one mile per second. That means it only takes 32 seconds more to reach an altitude of 62 miles. If you want to take acceleration into account, it is a few seconds less. So it takes approximately 150 seconds for the shuttle to get out of earth's atmosphere.

Step-by-step explanation:

Answer:

That means it only takes 32 seconds more to reach an altitude of 62 miles. If you want to take acceleration into account, it is a few seconds less. So it takes approximately 150 seconds for the shuttle to get out of earth's atmosphere.

Solve the triangle. A = 46°, a = 34, b = 27

Answers

Find the length of the hypotenuse

34^2 + 27^2 = c^2

1156 + 729 = 1885

c^2 = 1885

sqrt(1885)

c = 43.42

Answer:

All sides of the triangle are a = 34, b = 27 and c = 46.7

and angles are A = 46°, B = 34.83° and C = 99.17°

Step-by-step explanation:

In a given triangle A = 46°, a = 34 units and b = 27 units

Then we have to find all angles and measure of the side left.

By sine rule,

[tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]

[tex]\frac{a}{sinA}=\frac{b}{sinB}[/tex]

[tex]\frac{34}{sin46}=\frac{27}{sinB}[/tex]

sinB = [tex]\frac{27\times sin46}{34}[/tex]

sinB = 0.5712

B = [tex]sin^{-1}(0.5712)[/tex]

B = 34.83°

Since in a triangle,

∠A + ∠B + ∠C = 180°

46°+ 34.83° + ∠C = 180°

80.83° + ∠C = 180°

∠C = 180 - 80.83 = 99.17°

[tex]\frac{b}{sinB}=\frac{c}{sinC}[/tex]

[tex]\frac{27}{sin34.83}=\frac{c}{sin99.17}[/tex]

[tex]\frac{27}{0.5711}=\frac{c}{0.9872}[/tex]

c = [tex]\frac{27\times 0.9872}{0.5711}=46.67[/tex]

Therefore, all sides of the triangle are a = 34, b = 27 and c = 46.7

and angles are A = 46°, B = 34.83° and C = 99.17°

An item regularly priced at $80 is on sale for 20% off. There is 3% sales tax. What is the sales price before sales tax?

Answers

Answer:

Price before tax is $64

Step-by-step explanation:

It asks for price before sales tax, so ignore sales tax %.

P=original-[original•(20/100)]

=80-80•0.2

=80-16

P=64

Answer:

$64

Step-by-step explanation:

We have been given that an item regularly priced at $80 is on sale for 20% off. There is 3% sales tax. We are asked to find the sales price before sales tax.

The sales price would be 80 minus 20% of 80.

[tex]\text{Sales price}=80-\frac{20}{100}\times 80[/tex]

[tex]\text{Sales price}=80-\frac{1600}{100}[/tex]

[tex]\text{Sales price}=80-16[/tex]

[tex]\text{Sales price}=64[/tex]

Therefore, the sales price before sales tax would be $64.

Math help pls,, will give brainiest reward! :)

Answers

Answer

16

Step by step

The triangles,PRS and PQT are similar.

PS:ST=15:3

=5:1

let PQ=x

PR:RQ

x+4:4

using the PS:ST ratio,

5:1=x+4:4

4×5=1(x+4)

20=x+4

collecting like terms

20-4=x

x=16.

Lila makes bags of stickers that are exactly the same for 5 friends. She uses a total of 45 stickers. Each bag has 2 butterfly stickers and the rest are flower stickers. How many flowers stickers are in each bag? Write a first step question and answer. Then solve the problem.

Answers

Answer:

Step-by-step explanation:each bag has 7 flower stickers........I think

we multiplicate 9*5 that is 45

9-2 is seven ,seven flower stickers

What is the value of n in the equation below?

Answers

Answer:

The value of n is equal to 9

Step-by-step explanation:

12^(n) / 12^(5)  = 12^4

12^(n-5) = 12^(4)

Which means

n - 5 = 4

n = 4 + 5

n = 9

We can chek this by dividing

12 ^ 9 = 5159780352  

12 ^ 5 =  248832

5159780352 / 248832 = 20736

12^4 = 20736

Elliot rides his bike at an average speed of 14 miles per hour.how many miles will he ride in 2 1/2 hours ?

Answers

Answer:

35 miles

Step-by-step explanation:

Given: Elliot rides his bike at an average speed of 14 miles per hour.

If he rides his bike at 14 miles every hour, and he was riding for 2.5 hours, all we need to do is take 14 and multiply it by 2:

[tex]2(14)=28[/tex]

We just found out how many miles he went in two hours. To find the remaining half, all we need to do is take his speed, divide it by two, and add it to the rest:

[tex]\frac{14}{2}=7[/tex]

[tex]28+7=35[/tex]

Elliot went 35 miles in 2.5 hours.

He will ride 35 miles in 2 1/2 hours.

Hope this helps.

if the following segment is reflected across the y-axis what are the new coordinates of the new endpoints? A.)(1,6) and (3,2) B.) (-6,1) and (-2,3) C.) (-1,-6) and (-3,-2) D.) (6,-1) and (2,-3)​

Answers

Answer:

A.) (1, 6) and (3, 2)

Step-by-step explanation:

Look at the picture.

[tex]\begin{array}{c|c|}&(x,\ y)\\S_{OX}&(x,\ -y)\\S_{OY}&(-x,\ y)\\S_{(0,0)}&(-x,\ -y)\end{array}[/tex]

Given the points (3,0) and (-1,-3) which of the statements below is true

Answers

What are the statements?

Final answer:

The given statements about the points (3,0) and (-1,-3) are not true. One cannot determine if they are parallel to x-axis or mutually perpendicular without more information or a third point/vector.

Explanation:

The question describes two points, (3,0) and (-1,-3), and asks which statements are true regarding their position. To determine the relationship between these points, we can visualize them on a coordinate system. Point (3,0) lies on the x-axis, while point (-1,-3) does not. The statements provided suggest a scenario where the points either form parallel lines along the x-axis or are mutually perpendicular to each other.

Neither of the given statements is correct since one point lies on the x-axis, and the other does not, which means they cannot be parallel along the x-axis. Additionally, without a third point to form a triangle or a clear reference for perpendicular vectors, we cannot assert that they are mutually perpendicular. Therefore, we need additional information, such as the context for these points or the third reference point/vector, to make a proper determination.

Regarding the information about vectors and coordinates, remember that vectors can be used to define directions and magnitudes from one point to another. In this case, however, we are only given two points without clear instruction on how to interpret them as vectors.

For the statement 'Clearly, the three directions are mutually perpendicular to each other,' note that this applies to three-dimensional coordinate axes or where three vectors are given, which are specifically defined as perpendicular. This situation described with two points does not satisfy the conditions of that statement.

What is 19.55 rounded off to the nearest whole number

Answers

Answer:

20

Step-by-step explanation:

19.55 can be either 19 and 20, but it is closer to 20!

Answer: The answer is 20.

Step-by-step explanation: So anytime you are rounded if the number is 5 or over 5 it will round up. If it is under 5 it will round down and in this case it is over half or 5 so it would round up to 20 since 20 is a whole number.

Please help me with 26

Answers

Answer:

Step-by-step explanation:

3x3=9 For the second week

9x3=27 For the Third week

27x3=81 For the Forth week so

3 Min first week

9 Min second week

27 Min third week

81 Min forth week

The Cotton family purchases a glass sculpture in the shape of a rectangler pyrimad.The base measures 7 1/2 inches by 5 inches.If the volume of the sculpture is 75 cubic inches, what isthe height of the pyrimad, in inches?
Answer Choices:
A) 15in
B) 6in
C) 2in
D) 37.5in

Answers

Answer:

6

Step-by-step explanation:

see attachment

Answer:

The answer is B. 6in.

Hope it helps!!!!!!!

A living room has a circular rug with a diameter of 8 feet. What is the rug's area? Use 3.14 for ​.

Answers

Answer:

Step-by-step explanation: 50.27 is the area

Final answer:

The area of a circular rug with an 8 feet diameter, using the formula A = π[tex]r^2[/tex] and π approximated as 3.14, is 50.24 square feet.

Explanation:

The question seeks to determine the area of a circular rug with a diameter of 8 feet. To calculate the area of a circle, the formula used is A = π[tex]r^2[/tex], where A is the area and r is the radius of the circle. Since the diameter is twice the radius, we have a radius of 4 feet (8 feet divided by 2).

Using 3.14 for π, the calculation is:

First square the radius: 4² = 16.

Multiply this by π (approximated as 3.14): A = 3.14 × 16.

Complete the multiplication to find the area: A = 3.14 × 16 = 50.24 square feet.

Therefore, the area of the rug is 50.24 square feet.

Which inequality represents the statement A final grade of at least 90? A. x < 90 B. x > 90 C. x ≤ 90 D. x ≥ 90

Answers

Answer:

D

Step-by-step explanation:

Since it is at least 90, it literally means that the lowest possible value is 90. Therefore the number can only be greater than or equal to 90. So, the answer is D.

Answer:

C. X is less than or equal to 90

Step-by-step explanation:

because as you can see  that the last sentence it says. A final grade of at LEAST 90?

What is the domain of f(x)= 3x/x-1

Answers

The answer is all real numbers

domain is easy like that

Answer:

The answer is C on edge (all real numbers except 1)

Step-by-step explanation:

Simplify the expression using the distributive property. –4(–3x + 11) 1. Distribute the –4 through the parentheses: -4(–3x) + (-4)(11) 2. Find each product: x -44

Answers

Let’s start with -4(-3x + 11) so, -4•-3x is 12x,because multiplying 2 negatives creates a positive. As for -4•11, it is -44. So, it should be 12x + -44. I hope this helps!

The value of x is 11/3 for expression –4(–3x + 11)

What is Expression?

An expression is combination of variables, numbers and operators.

Given expression is –4(–3x + 11)

Let us apply distributive property

–4(–3x + 11)

Minus four times of minus three x plus eleven

-4(-3x)-4(11)

Minus four times of minus three x minus four times of eleven

12x-44

12x=44

Divide both sides by 12

x=44/12

x=11/3

Hence, the value of x is 11/3.

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