Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x − 2)?

A) The graph of y = f(x) will shift left 2 units.
B)The graph of y = f(x) will shift right 2 units.
C) The graph of y = f(x) will shift up 2 units.
D) The graph of y = f(x) will shift down 2 units.

Answers

Answer 1

We have a horizontal translation of 2 units to the right, so the correct option is B.

"The graph of y = f(x) will shift right 2 units."

Which effect will have it on the graph?

For any function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left.

if N < 0, the translation is to the right.

In this case we have the function written as:

y = f(x - 2)

So we have N = -2, which means that we have a translation of 2 units to the right.

Then the correct option is B.

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Related Questions

What is the solution to the equation below?

5 + (10 × 8) ÷ 5 - 7 = ?​

Answers

The answer to your question is 14

Find each sim for 10,000+2,000+60+1 I tried searching it up
And I could not find it

Answers

The sum of the expression 10,000 + 2,000 + 60 + 1 is 12061

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to determine the sum of the expression?

The expression is given as

10,000 + 2,000 + 60 + 1

The sum of the expression can be calculated using a calculator

So, we have

10,000 + 2,000 + 60 + 1 = 12061

Hence, the value of the sum 10,000 + 2,000 + 60 + 1 is 12061

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5. 1 4/5 x 5/12 = ??????????
whats the answer

Answers

Answer:

Step-by-step explanation: the answer is .75. your welcome

the answer is 3/4 or 0.75

30 POINTS I need it quick with an explanation

Answers

The unit rate of the graph is is inches per hour

How to find unit rates of graphs

A graph will hold as many information as the plotter will wish to give it. The information the graph has the more compicated wit will be

The graph plotted is a graph of snowfall in inches against time in hours. The input values of the graph is the time in hours while the snow fall in inches is the output values

The unit rate of graphs is gotten from the the units plotted against the other unit. Here it is inches against hours

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Austin has $100,000 in a savings account that earns 142% interest per year. The interest is
not compounded. How much will he have in total in 1 year?

Answers

The total amount received at the end of 1 year will be 242000

The amount available in Austin's saving account: $100,000

Rate of interest = 142% per year

Simple interest: Simple interest is a quick and simple formula for figuring out how much interest will be charged on loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

The formula for simple interest is given:

Simple Interest = P*R*T/100

where P = principal amount invested

R = rate of interest per year

T = time in years for which the amount is invested

Substituting the values in the formula we get:

Simple interest = 100000*142*1/100

= 142000

Total amount after 1 year = Principal invested + Simple interest earned

= 100000 + 142000

= 242000

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what is the value of m in the figure below? if necessary, round your answer to the nearest tenth of a unit.​

Answers

The value of m in the right triangle to the nearest tenth is 7.2 units.

How to find the side of a right triangle?

The figure above is a right triangle.

The right triangles are similar.

Therefore, right triangle ABC is similar to right triangle BDC.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Therefore, let's find the value of m using the similar triangle principle,

m / 13 = 4 / m

cross multiply

m × m  = 13 × 4

m² = 52

square root both sides

√m² = √52

m = 7.21110255093

Therefore,

m = 7.2 units.

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A rock is dropped from a height of 10 feet. The height of the rock is modeled by the graph shown.Part AWhat is the height of the rock 0.5 seconds after being dropped? The height of the rock 0.5 seconds after being dropped is ........... feet Part BTo the nearest tenth of a second, how many seconds after being dropped does the rock hit the ground? The rock hits the ground approximately ...............................seconds after being dropped.

Answers

SOLUTION:

Step 1:

In this question, we have the following question:

A rock is dropped from a height of 10 feet. The height of the rock is modeled by the graph shown.

Part A



​​What is the height of the rock 0.5 seconds after being dropped? The height of the rock 0.5 seconds after being dropped is ........... feet

6 .

Step 2:

Part B



To the nearest tenth of a second, how many seconds after being dropped does the rock hit the ground?The rock hits the ground approximately ...............................seconds after being dropped.

0.8



14. Simplify - 17/0
0
17
undefined
-17

Answers

The simplification of number 17/0 gives the undefined form.

What is defined as the undefined form?Undefined in mathematics refers to a term that really is mathematically inexpressible or meaningless. The rules of mathematics consider whatever divided by zero to be undefined.A number multiplied by zero could result in any number (real or imaginary)A number divided by zero could represent an entity that has not yet been defined.Division of the a number by zero is illogical.If x=a/0, there is no solution!It may return a number that is not real or imaginary.

For the given question;

The expression is 17/0

Let us say that 17/0 = x

Its means; 17 = x ×0

17 = 0

But , 17 ≠ 0

As, given expression 17/0 can not be defined by any number.

Thus, 17/0 is an undefined term.

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please answer ASAP....
THANKS...​

Answers

for the different values of x, we have found the values of the function f (x) = x² + 2 x + 1.

We are given the function:

f (x) = x² + 2 x + 1

We need to complete the given table of values for x and f (x)

For x = - 3:

f (- 3) = (- 3)² + 2 (- 3) + 1

f (- 3) = 9 - 6 + 1

f (- 3) = 4

For x = - 2:

f (- 2) = (- 2)² + 2 (- 2) + 1

f (- 2) = 4 - 4 + 1

f (- 2) = 1

For x = - 1:

f (- 1) = (- 1)² + 2 (- 1) + 1

f (- 1) = 1 - 2 + 1

f (- 1) = 0

For x = 0:

f (0) = (0)² + 2 (0) + 1

f (0) = 0 + 0 + 1

f (0) = 1

For x = 1:

f (1) = (1)² + 2 (1) + 1

f (1) = 1 + 2 + 1

f (1) = 4

For x = 2:

f (2) = (2)² + 2 (2) + 1

f (2) = 4 + 4 + 1

f (2) = 9

For x = 3:

f (3) = (3)² + 2 (3) + 1

f (3) = 9 + 6 + 1

f (2) = 16

Table:

x     - 3      - 2      - 1      0      1      2      3

y       4         1        0      1      4      9     16

Therefore, for the different values of x, we have found the values of the function f (x) = x² + 2 x + 1.

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-3a²+9a²-11a²-3x² simplify

Answers

Answer:

211a+9x

Step-by-step explanation:

first, calculate the exponents (the number times itself) of each number

9a +81a +121a+9x

the reason they are positive is that a negative times a negative equals a positive ex: -3 x -3 = 9

next, combine the coefficients

starting with the variable for a

9a+81a+121a= 211a

x has no other coefficients so it would remain 9x

so the simplified answer would be

211a+9x

Simplify.
16-8+5x-3x
08+8x
O 10 x
08+2x
O 16+ 2 x

Help please

Answers

Step-by-step explanation:

The answer is 8+2x . This is the correct answer .

54 of the 72 coffee mugs at Ariana's Pancake House are dirty. What percentage of the coffee mugs at the pancake house are dirty? Write your answer using a percent sign (%).​

Answers

It would e around 60 percent because it evens out


A server earns a dollars per hour at a restaurant in addition to tips. If during a 6-
hour shift, the server earns $164.50 in tips, what is the minimum amount the
must earn per hour to make at least $184 total during the shift, in dollars and cents?
server

Answers

Answer: $3.25 an hour.

Step-by-step explanation: If the server wants to make 184 dollars and they already made 164.50, you subtract 184 by 164.50. 184-164.50= 19.50

That is how much the server made without tips over the course of 6 hours, and we want the amount they made in 1 hour. So we now divide 19.50 by 6. 19.50/6=3.25

What is the distance between the following points

Choose 1 answer:
√63
√77
√79
√85

Answers

Root 85 I think bc 9^2 + 2^2 = 85 and square root of that is hypotenuse which is line

Check the picture below.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{9})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~7 - (-2)~~)^2 + (~~9 - 7~~)^2} \implies d=\sqrt{(7 +2)^2 + (9 -7)^2} \\\\\\ d=\sqrt{( 9 )^2 + ( 2 )^2} \implies d=\sqrt{ 81 + 4 } \implies d=\sqrt{ 85 }[/tex]

11.) Janiya plans on passing out Halloween candy
this year. She purchased 5 bags of Skittles TM for
$4.50 each. She purchased 3 bags of Nerd TM for
$3.75 each. Finally she purchased some full sized
Snickers TM bars for $1.25 each. How many full
sized bars did she purchase if her total bill was
$102.50? Define the variable.

Answers

Answer:

82 because 102.50/1.25=82

please mark as brainliest and have a good day

Step-by-step explanation:

the survival times of guinea pigs inoculated with an infectious viral strain vary from animal to animal. the distribution of survival times is strongly skewed to the right. the central limit theorem says that

Answers

The correct option regarding the central limit theorem is given as follows:

The average survival time of a large number of guinea pigs has a distribution that is close to normal.

What does the Central Limit Theorem state?

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean given by [tex]\mu[/tex] and standard deviation given by [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, as is the case in this problem, the sampling distribution is also approximately normal, as long as n is at least 30.

For this problem, we have that the distribution is strongly skewed, hence it will only be normal for large sample sizes, and the last option is correct.

What is the missing information?

The options are given by the image at the end of the answer.

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Which expression is equivalent to 5p+7p

Answers

Answer:

all those that give 12p as a result (look at the examples)

Step-by-step explanation:

Which expression is equivalent to 5p+7p

5p + 7p = 12p

4p + 8p = 12p3p + 9p = 12p6p + 6p = 12p

The number of seconds that it takes for a kettle to boil, n, is
inversely proportional to its power in kilowatts, p.
The equation of proportionality is n
280
p
Work out the power of the kettle if it takes 70 seconds to boil.
If your answer is a decimal, give it to 1 d.p.

Answers

The power of the kettle if it takes 70 seconds to boil is 4 kilowatts.

It is given in the question that the  number of seconds that it takes for a kettle to boil, n, is inversely proportional to its power in kilowatts, p.

Also, The equation of proportionality is n = 280/p.

We have to find the power of the kettle if it takes 70 seconds  to boil.

According to the data given in the question, we can write,

n ∝ 1/p

n = k/p

Where k is the constant of proportionality.

Hence, k = 280

n = 280/p

Putting n = 70 seconds in the equation, we get,

70 = 280/p

p = 280/70

p = 4 kilowatts.

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need help y’all pls ‍♀️

Answers

The value of x in the triangle extended through W to X is 39.5°.

What will be the value of x in the triangle?

It should be noted that a triangle has a total angle of 180° and also has three sides. Based on the information given, the following can be deduced:

Angle 1 = 3x - 4.

Angle 2 = 6x + 6

Angle 3 = x + 20

Therefore, the value of x will be gotten by adding the values and equating to 180°. This will be:

3x - 4 + 6x + 6 + x + 20 = 180

4x + 22 = 180

Collect like terms

4x = 180 - 22

4x = 158°

Divide

x = 158/4

x = 39.5°

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Answer: 39.5°

Step-by-step explanation:


Sarah is conducting a science experiment where she initially has a population of 4 fruit flies. Every week the population triples. She writes the function f (x) = 4(3) to predict the population growth.
which rule can also model the function?

Answers

The rule that can also model the function is f(x)= 4 + 3x.

How to illustrate the information?

The initial population of fruit flies = 4 and the population of fruit flies triple every week

Let x represent number of weeks

Therefore function can be modelled as:

f(x)= 4 + 3x

Now assume population grows for two weeks, using the function:

f(x)= 4 + 3x

f(2)= 4+3×2

f(2)= 10

Therefore population grows to 10 fruit flies in 2 weeks based on our function

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Sarah is conducting a science experiment where she initially has a population of 4 fruit flies. Every week the population triples. She writes the function f(x)=4(3)x to predict the population growth. Which rule can also model the function?

Which lines are parallel
FM and GB
MB and FG
MB and GB
FM AND FG

Answers

Answer:

FM and GB

Step-by-step explanation:

the angles are corresponding meaning that the lines must be parallel

5-(-1-2)^2 or to the power of two


And |x/x+y|-x^2+y (x=2 y=-3)

Answers

The values of the expressions are

5 - (-1 - 2)^2 = -4|x/x+y| - x^2 + y = -5

How to determine the value of the expression

Expression 1

5-(-1 - 2)^2

Evaluate the difference in the expression

So, we have

5 - (-1 - 2)^2 = 5 - (-3)^2

Evaluate the exponent in the expression

So, we have

5 - (-1 - 2)^2 = 5 - 9

Evaluate the difference in the expression

So, we have

5 - (-1 - 2)^2 = -4

Expression 2

|x/x+y| - x^2 + y

When x = 2 and y = -3

Substitute x = 2 and y = -3 in |x/x+y| - x^2 + y

So, we have

|x/x+y| - x^2 + y = |2/2 - 3| - 2^2 - 3

Evaluate the difference in the expression

So, we have

|x/x+y| - x^2 + y = |2/-1| - 2^2 - 3

Evaluate the quotient and the exponent in the expression

So, we have

|x/x+y| - x^2 + y = |-2| - 4 - 3

Remove the absolute bracket

|x/x+y| - x^2 + y = 2 - 4 - 3

Evaluate the difference in the expression

So, we have

|x/x+y| - x^2 + y = -5

Hence, the solutions to the expressions are -4 and -5

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Simplify the expression
3[2(x-3) + 2] + 5(x-3)

Answers

Answer: 11x-27

Step-by-step explanation:

1- 3[2x-6+2] + 5(x-3)

2- 3[2x-4] + 5x-15

3- 6x-12+5x-15

4- 11x-27

What is the perimeter of the isosceles triangle?

Side A- 3x - 5
Side B- 2x
Side C- 19 - x

Answers

Answer:

perimeter of triangle = a + b + c

perimeter = 3x-5+2x+19-x

                = 6x + 14

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Answer: P=2a + b which = A- 3x - 5

Step-by-step explanation:

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=8800(1.573)^x
y=8800(1.573)
x

Answers

The given exponential function represents the growth in function with a percentage increase as 57.3%.

Given we have the exponential function as :

y=8800(1.573)ˣ

it is in the form of: y=k.aˣ

therefore, if a>2 then the function represents growth.

and if a<1 then the function represents decay.

now, x=1.573

1.573 > 1

so, the function represents change in growth.

therefore, 1.573 - 1

= 0.573

= 57.3%

hence the change in growth of the function is increased by 57.3%.

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Please explain!!!
A clock face has a radius of 8 inches. What is the area of the clock face. Round your number to nearest hundredth.

Answers

Answer:

200.96 square inches

Step-by-step explanation:

it's asking for the area of a circle

we know that the radius is 8, so we can just plug it into the circle area formula which is

area = (pi) r^2

you plug in 8 for r (r stands for radius)

8^2 is 64

64 times pi is 200.96 (because pi=3.14)

Write the equation of the line that passes through the points (−8,−9) and (3,−4). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Answers

[tex](\stackrel{x_1}{-8}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-4}-\stackrel{y1}{(-9)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-8)}}} \implies \cfrac{-4 +9}{3 +8} \implies \cfrac{ 5 }{ 11 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-9)}=\stackrel{m}{ \cfrac{ 5 }{ 11 }}(x-\stackrel{x_1}{(-8)}) \implies {\large \begin{array}{llll} y +9= \cfrac{ 5 }{ 11 } (x +8) \end{array}}[/tex]

Error Analysis On a math test the students are guvena right triangle. One of the acute angles has a measure of 33°. One student saha tbe measure kf the other acute angle is 147°. What is the measure of the other acute triangle?

What error might the student have made?

Answers

Error might the student have made was in angle 147 as acute angle means angle less than 60°

What is acute angle ?

Acute angles are those that range in size from 0 to 90 degrees and are smaller than 90 degrees. Examples include 60, 30, 45, and other angles. An acute triangle is a triangle with all of its internal angles smaller than 90 degrees. An equilateral triangle, for instance, is an acute triangle because the internal angles are 60°.

Less than 90° of an angle is referred to be an acute angle. An acute angle, for instance, is formed when the time is 11 o'clock between the hour hand and the minute hand. Consequently, acute angles include 30°, 40°, 57°, and others.

Given that : The students are guvena right triangle. One of the acute angles has a measure of 33°. One student saha tbe measure kf the other acute angle is 147°.

As the acute angles are angles less than 90°

and they have measure as 147°

So the error was in measure angle as 147°

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A car travels a distance of 2.6 kilometers.

What is this distance in meters?


10 millimeter (mm) =1 centimeter (cm)
100 cm =1 meter (m)
1000 m =1 kilometer (km)
CLEAR CHECK
meters

Answers

Answer:

2600 meters

Step-by-step explanation:

2.6x1000

what formula is used to calculate the root mean square error over a range of forecasted​ values, if the actual value of the time series at time t and the forecast value for time t are denoted by a and f ​respectively?

Answers

RMSE =  (nΣt=1 (At-Ft)²/n is the formula .

What is Root Mean Square Error (RMSE)?

Root mean square error, also known to as root mean square deviation, is one of the techniques more frequently used to evaluate the accuracy of forecasts. It demonstrates the Geometric separation between forecasts and observed true values.

What makes a good RMSE?

A general rule of thumb states that the model can reasonably predict the data consistently when the RMSE value is between 0.2 and 0.5. A score of Adjusted R-squared more than 0.75 is also highly effective for proving accuracy. An adjusted R-squared of 0.4 or higher is also acceptable in some situations.

Identify the formula used to calculate the root mean square error over a range of forecasted values, if the actual value of the time series at time t and the forecast value for time t are denoted by A t and F t respectively.

RMSE = [ (nΣt=1 (At-Ft)2) / n ]0.5

MSE = (nΣt=1 (At-Ft)²/n

RMSE = Root of MSE

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Irving underwent brain surgery as a child and sustained damage to his amygdala during the procedure. How will this damage affect how he attempts to interpret others'emotions?O a. He will generally avoid making eye contact.O b. He will focus more on their tone of voice.Oc. He will maintain eye contact longer than other people.Od. He will pay more attention to signs of arousal. Whats the answer for the math problem the income section of a budget will includ your__ Consider the equation shown.242"What is the value of n? a scale drawing of a rectangular building is 4 inches wide and 5 inches long. the actual building is 240 yards wide. what is the area of the actual building in yards What are the perimeters of this when mara describes herself, she spends a lot of time talking about her roles as a friend, wife, and mother and describes a lot of nurturing and caring qualities. mara is Find the range of the followingfunction given that(x) = x 1Domain: -2 In The Interesting Narrative of the Life of Olaudah Equiano, Equiano mentions "many of the inhabitants of the deep" who were happier than he was. Who or what is he describing? in a small office/home office (soho), the administrator should change all passphrases and preshared keys (psks) when a wireless-enabled device is lost or stolen. How would you ensure you have valid data?PLS HELP ITS DOU TOMORROW!!6TH GRADE SCIENCE katrina can arrange the chairs in the classroom in 5 minutes. one day peter helped her and took both of them 2 minutes to arrange the chairs. how long will it take peter to arrange the chairs all by himself? How many 135-inch-thick books can fit on a 1412-inch-long bookshelf?You can fit ? books on the bookshelf. The first wave of immigrants was largely from Western Europe. Where did most ofthe second wave of immigrants come from? What goals did Chris Pratt have in his early years please answer Name the property shown and explainin a complete sentence supportingyour answer choice.a (b + c) = ab+ac When father greg boyle met with gang members in the late 1980s and 1990s in response to increased gang killings, he tried to put himself in their shoes and see things from their perspective. Father boyle was displaying ______. Miguel pays $68 biweekly for health insurance which is 14% of the total cost his employer pays the rest what is the total annual cost to the nearest dollar of Miguel's health insurance i understand how you feel"" is an example of an ________________ response. a. ineffective b. dishonest c. rude d. empathetic please select the best answer from the choices provided a b c d Which are examples of major industries? wildlife, climate, population density artifacts, architecture, sculpture agriculture, travel and tourism, manufacturing, health