Explain how you can tell if a function y=a/x is a stretch or compression of the parent function y=1/x

Answers

Answer 1

It totally depends on the value of a , that it will stretch or compress.

WHAT IS STRETCH OR COMPRESSION OF THE PARENT FUNCTION?

A function change that makes a graph bigger or narrower is called a stretch or compression. To stretch a graph is to enlarge or reduce its size. Transformations are used to change the graph of a parent function into the graph of a more complex function.

CALCULATION

1. Determine a's value.

2. Multiply each value in the range by a.

3. The graph is distorted by an amount equal to aa if a>1.

4.The graph is compressed by a factor of aa if 0<a<1.

5.If a<0, the graph is distorted around the x-axis and either stretched or compressed.

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Explain How You Can Tell If A Function Y=a/x Is A Stretch Or Compression Of The Parent Function Y=1/x

Related Questions

Processes
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Draw a Conclusion Myron has $1,698 in his
savings account. Robert has $1,898 in his savings account.
Toby has $100 less than Robert in his savings account.
Who has the least amount of money

Answers

Myron has least amount of money which is  $1,698

According to the question

Given that ,

amount of saving of Myron is $1,698

amount of saving of Robert is  $1,898

Toby has $100 less than Robert

amount of saving of Toby is   $100 less than Robert

 Robert has  $1,898

amount of saving of Toby = $1,898 - 100

                                            = $ 1,798

Myron has least amount of money which is  $1,698

Savings account is a basic account type that lets you deposit money safely with a bank. It ensures safety and access to your money whenever you need. You can withdraw your funds, either digitally or in person, at any point in time.

Having a savings account is a liquid investment, so you have the ease of using your funds any time for transactions. A savings account also earns decent returns;

A savings account is like a virtual locker that safeguards your money and pays a certain amount of interest. As opposed to a fixed deposit (FD), you can use the money in your savings account whenever you need. A savings account also has other uses.

With your savings bank account, you make transactions, receive payments, pay your credit bills, and make investments. You can also pay for utilities such as electricity bills, ration, mobile phone recharges, and shopping. A savings account safeguards your money from theft and misplacement and reduces the stress that comes with carrying too much cash.

how to calculate saving

If the daily amount is Rs 3 lakhs and the interest rate on the savings account is 4% per year, the computation will be Interest on a monthly basis = Daily Balance * (Number of days) *Interest / (Days in the year)3 lakhs * 30 * (4/100) / 365 = Rs 986 per month in interest Daily

balance: 3 lakh

Number of days: 30

Interest: 4%

Days in the year: 365

According to Bank, "Savings bank interest will be calculated on the daily balances maintained in your account. Savings Bank interest will be paid at quarterly intervals."

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During a science experiment,the temperature of a solution in beaker 1 was 5 degrees below zero. The temperature of a solution in Beaker 2 was the opposite of the temperature in beaker 1. What was the temperature in beaker 2?


A. - 5 degrees
B- 0 degrees
C- 5 degrees
D- 10 degrees

Answers

Answer:
5 degrees

Step-by-step explanation:

We are given that during a science experiment
The temperature of a solution in a beaker 15 degrees below zero
The temperature of solution in a beaker 2 was opposite of the temperature in beaker 1
We have to determine the temperature of beaker 2.
It mean temperature of beaker 1 solution=-5 degrees
According to question
Temperature of beaker 2 solution =5 degrees
Hence, the temperature of solution in a beaker 2=5 degrees

Twelve cubes are stacked and if we removed 2 of them how would the surface area change

Answers

If Twelve cubes are stacked its surface area is: 36a² and how  would the surface area change if the top two cubes are removed is 6a².

Surface area

a. Surface area

If the length of one side is a the area of one surface is a²

Hence,

Area=a²

a²(6+6+6+6+6+6)

=36a²

b. Change in surface area change if the top two cubes are removed:

a²(6×2+5×2+4×2)

a²(12 + 10 + 8)

=30a²


Hence,

36a²-30a²

=6a²

Therefore  If Twelve cubes are stacked its surface area is: 36a² and how  would the surface area change if the top two cubes are removed is 6a².

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540 was rounded to the nearest ten.
What is the lower bound?

Answers

Note that the tens place is two moves to the left of the decimal point (if it exists). To round to the nearest ten (nearest 10), we use the whole numbers place to determine whether the tens place rounds up or stays the same.

Step 1: Locate and underline the tens place (4) then look at the digit to the right (0):

540
Step 2: The digit to the right (0) is 4 or below. So, we replace it by a 0 (zero) to get 540 as the answer.
In short: 540 rounded to the nearest ten is 540.


Each pair of values is from an inverse variation. Find the missing value. (2,5),(4, y)

Answers

The missing value of inverse variation  is 2.5

What is Inverse variation ?

The inverse variation property states that , whenever the product of values of two quantities is a constant value then there is opposite variation between these two corresponding values. Or we can also say that if the productive nature of two corresponding values is constant, then one quantity is inversely varies with second quantity.

Let say if x and y are two values and k is a constant value, then

According to inverse variation

k = xy or y = k/x

In the given question,

Take the order pair (2,5)

As it is an inverse variation, we can substitute it

y=k/x  

5=k/2

K=10

Now find the inverse variation equation

y=k/x

Also, k=10

Solve this equation for the second pair (4,y)

As, y=k/x

   y = 10/4 = 5/2 = 2.5

Therefore, missing value is 2.5

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Hank's pickup can travel 90 miles on 5 gallons of gas. How many gallons will Hank's pickup need to travel 36 miles?
Hank's pickup will need
gallons of gas to travel 36 miles.

Answers

Hank will need 2 gallons of gas to travel 36 miles


Write each expression in exponential form. ∛y⁸

Answers

The exponential form of the expression= [tex]y^{8/3}[/tex]

To expresses it in an exponential form we have expression:

[tex]\sqrt[3]{y^{8} }[/tex]

As we have to express as

[tex]a^{m}[/tex]/ [tex]a^{n}[/tex] = [tex]a^{m}[/tex][tex]a^{-n}[/tex]

          = [tex]a^{m-n}[/tex]

From the question we have

[tex]\sqrt[3]{y^{8} }[/tex]

[tex](y^{8}) ^{1/3}[/tex]

[tex]y^{8/3}[/tex]

Therefore the exponential form of the expression is [tex]y^{8/3}[/tex]

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Sean is exploring a coral reef 91 feet below sea level and liz is hiking 91 feet above sea level. Who is hiking farther away from sea level

Answers

They are about same distance from sea level.

Sean is exploring a coral reel below level= 91 feet

Liz is hiking above sea level= 91 feet

 When, we compare both distance from sea level, both have the sane distance. Although, the distance between both Sean and Liz is 91+91= 182 feet.

When compare the level of both , both are at 91 feet one is below the sea level and another is above the sea level. Hence, both are at the same distance from the sea level.

Hence, the correct answer is both at 91 feet from seal level.

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Suppose that x and y vary inversely. Write a function that models each inverse variation and find y when x=-5 . x=25 when y=2

Answers

Function models for inverse variation is y = 50.1/x and find y when x=-5 will be -10.

What is a function model?

A function model or functional representation is an organized depiction of the functions (activities, actions, processes, and operations) inside the modeled system or subject area.

Inverse variation formula is y = k. 1/x

⇒ for x = 25 and y = 2,

The value of k will be -

k = y . x

k = 25 . 2

k = 50

y = 50 . 1/x is our function

⇒ for x = -5,

⇒ y = 50 / -5

⇒y = -10

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Can someone help me please I’ve been trying the last hour to figure this out

Answers

Answer:

It is the third one down.

Step-by-step explanation:

The two smaller angles would be the same measurement because the angle bisector cuts the big angle down the middle.    So, if the big angle was 90°, the two smaller angels would be 45°.  

Answer:

3

Step-by-step explanation:

its 3 because An angle bisector is a ray that divides an angle into two congruent angles  if you multiply the measurement of GLH by two you will get the measurement of GLI. Which is the same as adding the measurement of GLH and HLI since they have the same measurement

Congruent: The same


Find the inverse of each function. Determine whether each inverse is a function. f(x)=√x+6

Answers

The inverse of the function f(x)=√x+6 will be x²-12x+36.

Inverse function-

A function that can reverse into another function is known as an inverse function or anti-function.

The given function is,

f(x)=√x+6

As we know inverse of the function is shown as,

y = f(x)

y=√x+6

For inverse function, we have to replace the variable's place value,

x=√y+6

√y=x-6

Squaring both sides,

(√y)²=(x-6)²

y=x²+36-12x

Hence,the inverse of the function f(x)=√x+6 will be x²-12x+36.

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The endpoints of CD are C (1, -6) and D (7, 5). Find the coordinates of the midpoint M by using the Midpoint Formula.

Answers

the mid point of the points C and D is M = ( 4 , - 1 / 2 ).

We are given the coordinates of the point:

C ( 1 , - 6 )

D ( 7 , 5 )

We need to find the mid point M for it.

Here, we have:

x₁ = 1

x₂ = 7

y₁ = - 6

y₂ = 5

We know that the formula for mid point is given by:

M = ( x₁ + x₂ / 2, y₁ + y₂ / 2 )

Substituting the values, we get that:

M = ( 1 + 7 / 2 , - 6 + 5 / 2 )

M = ( 8 / 2 , - 1 / 2 )

M = ( 4 , - 1 / 2 )

Therefore, we get that, the mid point of the points C and D is M = ( 4 , - 1 / 2 ).

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Can someone help me express this as a single fraction, i’m not sure of my answer

Answers

Answer:

3x-6/2[tex]\sqrt{x-1[/tex]

Step-by-step explanation:

1. first we have to get the denominator the same, so we multiply by [tex]\sqrt{x-1[/tex] to the first fraction top and bottom which leaves as with

3(x-1)/2[tex]\sqrt{x-1[/tex]   -  3/2[tex]\sqrt{x-1[/tex]

- we can expand the numerator of the first fraction which becomes

3x-3/ 2[tex]\sqrt{x-1[/tex]  -  3/2[tex]\sqrt{x-1[/tex]

2. we can now subtract te fraction as we have the same denominator this gives us

3x-6/2[tex]\sqrt{x-1[/tex]

3. your final answer would be  

3x-6/2[tex]\sqrt{x-1[/tex]

{If the question asked to simplify your answer you would rationalize your answer by multiplying top and bottom by [tex]\sqrt{x-1[/tex] to give you the answer of

(3x-6)[tex]\sqrt{x-1[/tex]/2x-2}


Write a function for each situation. Then find the value of each function after five years. Round to the nearest dollar. A baseball card bought for $ 50 increases 3 % in value each year.

Answers

$57.96   is  the value of each function after five years.

How does exponential growth utilise e?

e is the constant growth rate that all processes that are growing continuously share. With e, you may compare a simple growth rate—where all change occurs at the end of the year—with a compound, continuous growth rate, where growth occurs once per nanosecond or quicker.

Let the principle sum be P

Let the number of years be n

Thus the total sum for n years is

P( 1 + 3/100)ⁿ      →      P( 103/100)ⁿ

= $50 ( 103/100)⁵

= $57.96

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the height of a triangle is twice its base the area is 144cm³ find the base​

Answers

Answer:

Base = 12cm

Height = 24cm

Step-by-step explanation:

Hello glittersplanet,

The formula for the area of a triangle is A = 1/2 b * h where A equals the area, b equals the base, and h equals the height. You are given the area in this problem.

Let the following conditions apply:

Base = x

Height 2x <-------Problem states the height is twice its base, correct?

Therefore:

A = 1/2 b*h

144 = 1/2 (x)(2x)

Simplify by removing the fraction by multiplying through by 1/2 and you are left with x^2 correct? Therefore:

144 = x^2

x = √144

x = 12

Therefore, base = x = 12 while height = 2x = 2(12) = 24

x = √144

Footing-x=12

Height-x2=24

The ODDS IN FAVOR of a randomly selected person in a certain classroom is left handed are 4:21. What is the PROBABILITY that a randomly selected person from the room is left handed (as a percent!

P(Left)=

Answers

So they has a 4/21 chance of being left handed so if it’s random the person has a 4/21 chance which equals 19.04%

Moya is moving to a new house and packing up. She has 70 kilograms of books and 127 kg kilograms of clothing to send through the postal service. How much more do her clothes weigh than her books? How much is her shipping cost of she has to pay $80 per kg of books and $200 per kg of clothing?

Answers

The difference in her clothes and her books will be 57kg.

The difference in shipping cost if she has to pay $80 per kg of books and $200 per kg of clothing will be $19800.

How to calculate the value?

From the information, Maya has 70 kilograms of books and 127 kg kilograms of clothing to send through the postal service, the difference in her clothes and her books will be:

= Weight of clothes - Weight of books

= 127 kg - 70 kg

= 57 kg

The difference in shipping cost if she has to pay $80 per kg of books and $200 per kg of clothing will be:

= 127(200) - 70(80)

= 25400 - 5600

= $19800

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WILL GIVE BRAINLIST TO BEST ANSWER
Michael is a collage tutor. he charges a $50 to fee, and then makes $15 per hour that he tutors. if he made a total of $250 last month how many hours did he work?

Answers

Well this depends on how many times he charged the fee but if he only charged the fee once then he worked 10 and 1/3 hours

Please help me please help me

Answers

Answer:

Step-by-step explanation:

Anytime something does a 180 rotation it just flips the sign

Example: (-4, -6) 180 rotation (4, 6)

So for yours, it would be (-1, -2) 180 rotation (1, 2)

If you are still confused don't hesitate to ask :)

What type of number is √/2?​

Answers

Irrational Numbers.

No fraction is equal to exactly that number. Similarly, the square root of two (√2) can be estimated as 1.4, but 1.4 * 1.4 does not equal 2 exactly. There is no fraction equaling any decimal which, multiplied by itself, equals two.


Solve the system of equations using a matrix
3 a+5 b=0
a+b=0

Answers

The solutions of a and b are 0 and 0 respectively using matrix.

Solving a system of linear equations using the inversion method involves two new matrices.Matrix A: representing variables Matrix B:  represents a constant The system of equations can be solved by matrix multiplication which is given by [tex]X=A^{-1}B[/tex]       ...(1)

We have given two equations 3a + 5b = 0 and a+b = 0

This can be written as AX=B

Where  [tex]A=\left[\begin{array}{ccc}3&5\\1&1\\\end{array}\right][/tex]      and  [tex]X=\left[\begin{array}{ccc}a\\b\\\end{array}\right][/tex]    ,  [tex]B=\left[\begin{array}{ccc}0\\0\\\end{array}\right][/tex]

A is the coefficient matrix, X the variable matrix and B the constant matrix.

     [tex]|A|=3(1)-5(1)\\|A|=3-5=-2[/tex]

  Since [tex]|A|\neq 0[/tex]

Hence, the system of equations is consistent and has a unique solution given

A inverse is given by [tex]A^{-1}=\frac{adjA}{|A|}[/tex]     ....(2) and adj(A) is given by [tex]adjA=C^T[/tex]

       [tex]M_{11}=1\\M_{12}=1\\M_{21}=5\\M_{22}=3[/tex]              

Then Co -factors will be        

            [tex]C_{11}=1\\C_{12}=-1\\C_{21}=-5\\C_{22}=3[/tex]

Matrix C is represented by

      [tex]C=\left[\begin{array}{ccc}1&-1\\-5&3\\\end{array}\right] \\\\C^T=\left[\begin{array}{ccc}1&-5\\-1&3\\\end{array}\right][/tex]

Putting |A| = -2 and transpose of C in equation (2) , we get

 [tex]A^{-1}=\frac{1}{-2} \left[\begin{array}{ccc}1&-5\\-1&3\\\end{array}\right][/tex]

Putting the value of A inverse in equation (1) , we get

      [tex]X=\frac{1}{-2} \left[\begin{array}{ccc}1&-5\\-1&3\\\end{array}\right]\left[\begin{array}{ccc}0\\0\\\end{array}\right]\\\\\left[\begin{array}{ccc}a\\b\\\end{array}\right]=\left[\begin{array}{ccc}0\\0\\\end{array}\right][/tex]

On comparing , we get a =0 , b= 0

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make d the subject of the formular h=d/3+2

Answers

Answer:

3h - 6

Step-by-step explanation:

→ Minus 2 from both sides

h - 2 = d / 3

→ Multiply both sides by 3

3h - 6 = d

Step-by-step explanation:

h=d/3+2

h=d/5

d=5h

please mark brainiest

Please help with problem 11

Answers

Answer:

option a is the right answer

Answer:

Step-by-step explanation:

Ok so vertical means straight up and down if you have forgotten so

First lets look at 2x=y no that is not correct because it is not going striagt up and down

The answer is C  so I dont have to go through them all it is C

One half of a number is more than six less than the same number. Describe what numbers will work.

Answers

The numbers that will work are all numbers less than 12

How to describe what numbers will work?

The statement is given as:

One half of a number is more than six less than the same number

Let the number be represented with x

So, the mathematical expression is

1/2x > x - 6

Subtract x from both sides

-1/2x > -6

Multiply both sides by -2

x < 12

Hence, the numbers that will work are all numbers less than 12

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1. Which of the following does NOT show an identity property?
4x1=4
5+1=5
3-0=3
2+1=3

Answers

I think the answer is B. 5 + 1 = 5

Answer: The Answer is 5+1=5 or B

Step-by-step explanation:

This is because 5+1 does not = 5

For ΔABC, m∠A = 32.1° and m∠B = 101.7°. Determine m∠C. 133.8° 69.6° 46.2° 43.8°

Answers

The unknow angle of the triangle is as follows:

m∠C = 46.2°

How to find the angle of a triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

In simpler term, a triangle is a kind of polygon that 3 sides and 3 angles.

Therefore, the sum of angles in a triangle is equals to 180 degrees.

Hence, the sum of angles in ΔABC is 180 degrees.

Therefore,

m∠A + m∠B + m∠C = 180°

m∠A = 32.1°

m∠B = 101.7°

m∠C = x

32.1 + 101.7 + x = 180

x + 133.8  = 180

x = 180 - 133.8

x = 46.2 degrees.

Therefore, the unknow angle of the triangle is as follows:

m∠C = 46.2°

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Answer: 46.2

Step-by-step explanation:

Find the equation of the line that contains the point (4, -2) and is perpendicular to the line y =
○ y = -x
Oy=2x-10
O y = -2x+6
Oy=x-4
- 2x + 8.

Answers

Answer:

b

Step-by-step explanation:

Write the expression that represents the total length of each segment shown.

Answers

The expressions for the total length of each segment are x + 1, d + 4, and y + 3.

The total length of the segments will be the sum of the part so the segments.

Let's say a line segment AB is divided into two parts x and y then the expression for the length of the segment will be x + y.

Now,

For the first segment,

The two parts are x and 1.

The expression of the total length of the segment is:

x + 1

For the second segment,

The two parts are d and 4.

Then the expression for the total length of the segment is:

d + 4

For the third segment,

The two parts are y and 3.

Then the expression for the total length of the segment is:

y + 3

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The complete question is mentioned below:

Write the expression that represents the total length of each segment shown.

Why is math soooo hard?

Answers

Answer: because it's is involved in everyday life, without math we would never have a fraction of the technology we have today

Step-by-step explanation:

Answer: we have to use our brain- =w=

Step-by-step explanation:

so basically right we should only need to know how to count money and maybe multiply bc thats what u do in life why do we need to do algebra for real life ocasions- smh

3 to the power of -6 as a fraction

Answers

Answer:

[tex]3^{-6} = \left(\frac{1}{3}\right)^{-6}[/tex]

Answer:

Step-by-step explanation:

Exponent Law a^-r = 1/a^r

(1/3^6)

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