1 Select the correct answer. Each statement describes a transformation of the graph of . Which statement correctly describes the graph of y = f(x − 7) + 3? A. It is the graph of f translated 3 units up and 7 units to the left. B. It is the graph of f translated 7 units down and 3 units to the right. C. It is the graph of f translated 7 units up and 3 units to the right. D. It is the graph of f translated 3 units up and 7 units to the right.

Answers

Answer 1

Using translation concepts, it is found that the correct option is:

D. It is the graph of  translated 3 units up and 7 units to the right.

The parent function is:

[tex]f(x)=y=1nx[/tex]

Shifting a function a units to the right is equivalent to finding f(x - a), thus:

[tex]f(x-7)=1n(x-7)[/tex]

Shifting a function a units up is equivalent to finding f(x) + a, thus:

[tex]f(x-7)+3=1n(x-7)+3[/tex]

Which means that the function was shifted 7 units to the right and 3 up, thus, option D is correct.


Related Questions

How do you isolate the variable by dividing each side by factors that don't contain the variable?

Answers

We isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.

According to the question,

We have the following information:

Isolating a variable by dividing each side of the equation in which one side does not contain any variable.

Now, in this case, it is clearly stated that the first step to isolate the variable from the equation is to perform division.

Now, this can be done as follows in the given equation:

2x = 14

Now, the variable x can be isolated by dividing both sides of the equation by 2:

x = 14/2

x = 7

Hence, we isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.

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Shivani and Yamini have certain amounts of
money with them. If Shivani gives 60 to Yamini, the
amounts with both will be equal. Instead, if Yamini
gives 20 to Shivani, the amount with Shivani would
become twice the amount left with Yamini. What is
the amount with Shivani?

Answers

Answer:

$300

Step-by-step explanation:

S = amount of $$ Shivani currently has

Y = ... Yamini currently has

1. If Shivani gives 60 to Yamini, the amounts with both will be equal:
   S - 60 = Y + 60

2. if Yamini gives 20 to Shivani, the amount with Shivani would become twice the amount left with Yamini: 2(Y-20) = S+20

3. Simplify both equations and solve the system:

   S = Y + 120
   S = 2Y - 60

   Y + 120 = 2Y - 60  ⇒  Y = 180

   S = 180 + 120 = 300

A baseball player has 746 plate appearances in his first year, 727 plate appearances
in his second year, and 512 plate appearances in his third year. How many plate
has the player had in three years?
appearances
O 2,075
O 1,975
O 1,885
O 1,985

Answers

The player has a total plate of 1985 plate appearances (optionD)

What is addition?

Addition is a way of combining things and counting them together as one large group. Addition is a process of combining two or more numbers. Addends are the numbers added, and the result or the final answer we get after the process is called the sum. For example if there a 5oranges, 6 bananas and 9 pineapple Ina basket. The total fruit in the basket is 5+6+9= 20 fruits

The baseball player has 746 plate appearances in his first year and 727 plate appearances in the second year and 512 in his third year.

The total plate appearances = 746+727+512=1985 plate appearances

Therefore the plate appearance the player had in three years is 1985 plate appearances.

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Please help will mark Brainly

Answers

Answer: Horizontal Translation

Step-by-step explanation:

20 is ______times as much as 2

Answers

10 because 10 x 2 = 20

In, a city had a population of 310,000 people. Each year since 2007, the population has grown by 4.8%.
Let t be the number of years since. Let y be the city's population.
Write an exponential function showing the relationship between t and y.

Answers

The exponential function showing the relationship between t and y is y = 310000(1.048)⁺

How to determine the exponential function?

From the question, we have the following parameters that can be used in our computation:

Initial population = 310000

Rate of growth = 4.8%

These parameters can be represeted as

a = 310000 and r = 4.8%

An exponential function is represented as

y = a(1 + r)⁺

Substitute the known values in the above equation, so, we have the following representation

y = 310000 (1 + 4.8%)⁺

Evaluate

y = 310000(1.048)⁺

Hence, the function is y = 310000(1.048)⁺

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Please help asap!!!!!!

Answers

40
Because you’re plugging in values for X
3(12) + 4 = 40

2. Show that you get the same prime factorization of 220 with 220=2 \times 110 or with 220=10 times 22
3. What numbers might be in the following form when numbers? Give 2 or 3 answers.

Answers

This is 224's prime factorization. This is the method of repeated division, and the prime factorization of 224 is 2 2 2 2 7.

What is the 220 factorization in terms of primes?

Image for number 2. Show that the prime factorization of 220 is the same when 220 is multiplied by 2 times 110 or 10 times 22. What numbers might possibly be in the next form when numbers? Give two or three responses.

Therefore, 22 51 111, where 2, 5, and 11, can be expressed as 220's prime factorization.

220 has three prime factors, which are 22; 51; and 111. Here, the pair does not contain the prime factor 5. Consequently, 220 is not a square perfectly.

Consequently, the first ten multiples of 220 are as follows: 220, 440, 660, 880, 1100, 1320, 1540, 1760, 1980, and 2200.

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what is the solution a b to this system of linear equations 3a6b45 2a 2b 12

Answers

Solution of the system of linear equation 3a + 6b = 45 , 2a -2b = -12 is equal to a = 1 and b =7.

As given in the question,

System of linear equation are:

3a + 6b = 45 __( 1 )

2a - 2b = -12 __(2 )

Solution of the linear equation by elimination method is given by:

Multiply ( 2 ) by 3 and add it to (1) we get,

3a + 6b = 45

6a - 6b = -36

9a         = 9

⇒ a = 1

Substitute the value of a = 1 in (1) we get,

3( 1 ) + 6b = 45

⇒ 6b = 42

⇒ b = 7

Therefore, the solution of the system of linear equation is a = 1 and

b =7.

The complete question is :

What is the solution (a, b) to this system of linear equations?

3a+6b = 45 ,  2a-2b = -12

a. (-27, 6)

b. (-1, 7)

c. (1, 7)

d. (27, -6)

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How can dilations and similarity be modeled in real-world examples?

Answers

Answer:

It is common to dilate photos to fit the space that you want it to fit. In police work and crime investigation. Detectives and police dilate photos to see smaller details and evidence. In architecture.

Step-by-step explanation:

HURRY PLS!!

Kevin took $45 with him to spend on snack for himself and his friends at the movie theater. The price for each bucket of popcorn was $4. The price of each drink was half the price of a bucket of popcorn.
A. Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of buckets of popcorn and the other axis to represent the number of drinks.
Explain your graph.

B. Graph the absolute value function.

C. (a) Graph a linear function of your choice. On the same graph, graph a linear function transformed 2 units up and 3 units down.
(b) What was the equation of your linear function in slope-intercept form?
(c) What was the equation of the transformed function in slope-intercept form?

Answers

The equation of Kevin's scenario is 4x + 2y = 45

The absolute equation is y = 2|x - 3| + 5The equation of the linear function in slope-intercept form is y = 2x + 3The equation of the transformed function in slope-intercept form is y = 2x - 1

How to determine Kevin's equation

From the question, we have the following parameters

Amount = $45Bucket of popcorn = $4Bucket of each drink= Half the bucket of popcorn = $2

Represent the buckets of popcorn with x and the number of drinks with y

So, we have the following equation

4x + 2y = total amount

This gives

4x + 2y = 45

See attachment for the graph

The graph of an absolute function

An absolute function is represented as

y = a|x - h| + k

Where the vertex is (h, k)

So, we make use of the following function

y = 2|x - 3| + 5

See attachment 2 for the graph

The graph of a linear function

Here, we are to make use of any equation

A linear equation is represented as

y = mx + b

Where

slope = m

y-intercept = b

So, we make use of

m = 2 and b = 3

This gives

y = 2x + 3

When transformed 2 units up and 3 units down, the resulting equation is

y = 2x + 2 - 3

Evaluate

y = 2x - 1

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write -1/2x + 4 = 10 in slope intercept form

Answers

Answer:    y=-1/2x+4

Step-by-step explanation:

Raven and Tyler are selling their cups of hot chocolate for $2.25. They sold 11 cups. They are also sold 9 candy canes on the side for $0.75 each. They spent $7.50 on supplies that they will have to pay back to the bank.



How much did they earn from candy canes?

Answers

The amount they earn from the sale of candy canes as required is; $6.75.

How much did they earn from candy canes?

It follows from the task content that the amount earned by Raven and Tyler as in the task content is to be determined.

Since they sell their cups of hot chocolate for $2.25 in which case they sold 11 cups.

However, the question requires that the amount which they earn from the sale of candy canes is to be determined.

Therefore, since each candy cane is sold for $0.75, it follows that the amount earned on 9 candy cones is;

= 9 × $0.75

= $6.75

Ultimately, the amount earned from the candy canes is; $6.75.

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The ratio of flour to sugar is 2 cups to 3 cups. If there are 5 cups of flour, how many cups of sugar are there?

Answers

Then there would be 6 cups of sugar because you have 2:3 so it would be one larger then the flour.

What are rational roots Class 10?

Answers

The rational root theorem, as its name suggests, is used to find the rational solutions of a polynomial equation (or zeros or roots of a polynomial function). The solutions derived at the end of any polynomial equation are known as roots or zeros of polynomials. A polynomial doesn't need to have rational zeros.

Rational root theorem, also called rational root test, in algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the denominator of the fraction and the constant term (the one without a variable) must be divisible by the numerator.

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help!! i’ve been stuck on this problem!

Answers

Answer:

x less than or equal to -2

Step-by-step explanation:

I believe that's the answer

Answer:

  x < -2

Step-by-step explanation:

You want the domain of a function graphed as a curve with an open circle at x=-2, which is the right end of the curve.

Domain

The domain is the horizontal extent of the graph. It is the set of values for which the relation is defined.

Application

The open circle at (x, y) = (-2, 0) means that point is not part of the graph. All x-values to the left of that point have corresponding y-values, so the extent of the graph can be said to be ...

  x < -2

The domain of the relation is x < -2.

0.9 + 3.706 + 54.23 + .1637 =

Answers

Answer: i think its 58.9997

Step-by-step explanation:

A certain shade of light blue paint is made by mixing 1(1/2) quarts of blue paint with 5 quarts of white paint. How much white paint would you need to mix with 4 quarts of blue paint?
a) Set up the table with headings (names of the variables and the units).
b) Show how to use the table to solve the problem.
c) Record your final answer below.

Answers

By using Unitary method it can be calculated that

4 quarts of white paint is mixed with [tex]1\frac{1}{5}[/tex] quarts of blue paint

 1 quart of blue paint is mixed with  [tex]3\frac{1}{3}[/tex] quarts of white paint

What is unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

a) Here, Unitary method will be used

Blue Paint                   White Paint

(Quart)                          (Quart)

[tex]1\frac{1}{2}[/tex]                                     5

[tex]1\frac{1}{5}[/tex]                                     4

1                                        [tex]3\frac{1}{3}[/tex]

5 quarts of white paint is mixed with [tex]\frac{3}{2}[/tex] quarts of  blue paint

1 quart of white paint is mixed with [tex]\frac{3}{2} \times \frac{1}{5}[/tex] quarts of blue paint

4 quarts of white paint is mixed with [tex]\frac{3}{2} \times \frac{1}{5} \times 4[/tex] quarts of blue paint

4 quarts of white paint is mixed with [tex]\frac{6}{5}[/tex] quarts of blue paint

4 quarts of white paint is mixed with [tex]1\frac{1}{5}[/tex] quarts of blue paint

Again

[tex]\frac{3}{2}[/tex] quarts of blue paint is mixed with 5 quarts of white paint

1 quart of blue paint is mixed with  [tex]5 \div \frac{3}{2}[/tex] quarts of white paint

1 quart of blue paint is mixed with  [tex]\frac{10}{3}[/tex] quarts of white paint

1 quart of blue paint is mixed with  [tex]3\frac{1}{3}[/tex] quarts of white paint

c) Finally

  4 quarts of white paint is mixed with [tex]1\frac{1}{5}[/tex] quarts of blue paint

   1 quart of blue paint is mixed with  [tex]3\frac{1}{3}[/tex] quarts of white paint

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How do you solve a proof question?

Answers

To solve a proof question, firstly you have to identify the question and visualize it and then try to connect the given conditions.

Mathematical proofs can be difficult, but can be conquered with the proper background knowledge of both mathematics and the format of a proof.

To solve a proof question you have to remember following steps:

Identify the question =  You must first determine exactly what it is you are trying to prove. Identify the question. You must first determine exactly what it is you are trying to prove.   Draw diagrams =  When trying to understand the inner working of a math problem, sometimes the easiest way is to draw a diagram of what is happening. Use the information given in the problem to sketch a drawing of the proof. Label the knowns and unknowns.Study proofs of related theorems =  Proofs are difficult to learn to write, but one excellent way to learn proofs is to study related theorems and how those were prove

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What is the standard form of ( 7 − 5 i ) ⁢ ( 2 + 3 i ) ?M

Answers

The standard form of the complex numbers ( 7 − 5 i ) ⁢ ( 2 + 3 i ) is

29 + 11i

How to expand the complex numbers

Complex numbers are numbers that are represented of the form a + ib

a and b are real numbers. a is the real part and b is in the imaginary part

i = √-1

Opening up the parenthesis by multiplication  

( 7 − 5 i ) ⁢ ( 2 + 3 i )

= 14 +21i - 10i -15i^2

where i^2 = -1

= 14 +21i - 10i -15 * -1

= 14 +21i - 10i +15

= 29 + 11i

The equation is equal to 29 + 11i

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What is an equation of the line that passes through the points (-6,6) and (-3,1)?

Answers

Answer:

y=-[tex]\frac{5}{3}[/tex]x-4

Step-by-step explanation:

find the slope m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{1-6}{-3+6}[/tex]

m=-[tex]\frac{5}{3}[/tex]

Use the slope and one of the points to solve for the y-intercept

y1=mx1+b

6=-[tex]\frac{5}{3}[/tex](-6)+b

6=10+b

b=6-10

b=-4

plug the values for m and b into y=mx+b

y=-[tex]\frac{5}{3}[/tex]x-4

Answer:

y= -1.6x+12Step-by-step explanation:

First find the slope.

m=y2-y1 / x2-x1

m= 1-6

-3-(-6)

m=-5

-3+6

m=-5

3

m= -1.6

y-y1=m(x-x1)

y-6= -1.6(x-(-6))

y-6= -1.6x+6

y=-1.6x+12

find the slope of the line that passes through (2,4) , (9,10)

Answers

The slope of the line that passes through (2,4) , (9,10) is 6/7

How to calculate the slope of the line?

From the question, the points are given as

(2,4) , (9,10)

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (2,4) and (9,10)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (2,4) and (9,10)

Substitute the known values in the above equation

So, we have the following equation

Slope = (10 - 4)/(9 - 2)

Evaluate

Slope = 6/7

Hence, the slope of the line is 6/7

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What is the length of the radius of a circle given the equation x² y² 8?

Answers

The length of the radius of the given circle with the equation x² + y² = 8 is 2√2 units.

What is a circle?

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

In the center of a circle, equal chords subtend equal angles.

The chord is divided in half by the radius drawn perpendicular to it.

So, the length of the radius of the circle is:

The formula for the circle's general equation is: (x - h)² + (y - k)² = r²

Where, the center is (h, k) and the radius is represented by r.

The equation we have: x² + y² = 8

Then, r² = 8

Taking square root as follows:
r = √8

r = √2*2*2

r = 2√2

Therefore, the length of the radius of the given circle with the equation x² + y² = 8 is 2√2 units.

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Correct question:
What is the radius of the circle whose equation is x² + y² = 8?

2. Claire is painting some windows that are all the same size. She used gallon of paint to paint 2 windows. How many gallons of paint are needed to paint 1 window?​

Answers

Answer:3

Step-by-step explanation:

since 7 is a number and b is to u should just put 3 windows cause u need to add them all up i think, not sure but just do that, why not,

Please help! Need this by tonight thanks! Question 7 Click on picture

Answers

Answer:

Oh god, I don't really know much about this, but I am going to assume that the 25 represents the mn so maybe you have to put 25mn + 6600 on the first box?

Step-by-step explanation:

I just looked up how to do this. I think the form has to be a C=mn+b format. For the third box, I think you need to solve 54100=25mn+6600. On the second box I think you just need to solve C(3600)=25(3600)+6600. idrk

−8×(−10+(−7))

Evaluate the following expression.

Answers

question: -8•(-10+(-7))
answer: 136

Answer:

136

Step-by-step explanation:

solve the inside of the parentheses and you get -17, then multiply by -8

The ratio of flour to sugar is 2 cups to 3 cups. If there are 5 cups of flour, how many cups of sugar are there?

Answers

The number of sugar cups will be equal to 7.5 cups.

What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the ratio of flour to sugar is 2 cups to 3 cups. The number of cops for flour is 5.

The number of sugar cups will be calculated as,

F / S = 2 / 3

5 / S = 2 / 3

S = ( 5 x 3 ) / 2

S = 7.5 cups

Therefore, the number of sugar cups will be equal to 7.5 cups.

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What is a parent in a graph?

Answers

A parent graph is the graph of a relatively simple function. By transforming the function in various ways, the graph can be translated, reflected, or otherwise changed.

What is a Parent Function?

A parent function is an equation in the simplest form of a family of functions. A family of functions is a collection of functions that represent similar characteristics and/or transformations of its parent function. A parent function can be represented with different degree values such as degrees 1, 2, or 3.

The most basic parent function is called a constant function. A constant function is one such that y = b, where b is the constant value. A constant function creates a straight horizontal line that will intersect the y -axis.

Hence the answer is A parent graph is the graph of a relatively simple function. By transforming the function in various ways, the graph can be translated, reflected, or otherwise changed.

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What are the 4 steps to solve a Punnett square?

Answers

Answer step-by-step explanation:

Step 1: Write out the cross T = tall, t = short Tt x Tt.

Step 2: Draw 2 by 2 Punnett square.

Step 3: Write the alleles for parent 1 on.

the left side of the Punnett square.

Step 4: Write the alleles from parent 2.

above the Punnett square.


By rounding each number to the nearest 10, estimate the value of 197 ÷ 10.3

Answers

Answer:

20

Step-by-step explanation:

197 rounded to the nearest 10 is 200.

10.3 rounded to the nearest 10 is 10.

So, 200 ÷ 10 = 20

Answer:

20

Step-by-step explanation:

We are rounding to the nearest 10.

197≈200

10.3≈10

After you have rounded the numbers, The equation simplifies a whole bunch.

200/10=20

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