3. Select the correct transformations: y=(x-4)^2+12 pointsThe vertex translates 1 unit to the right and 4 units to the leftThe vertex translates 4 units to the right and 1 unit upwardThe vertex translates 1 unit to the right and 4 units downwardsThe vertex translates 4 units to the left 4 and 1 unit upward

Answers

Answer 1

Answer:

The vertex translates 4 units to the right and 1 unit upward

Step-by-step explanation:

Suppose we have a function f(x).

To translate the function a units to the left, we need to find f(x + a).

To translate the function a units to the right, we need to find f(x - a).

To translate the function a units upward, we need to find f(x) + a

To translate the function a units downwards, we need to find f(x) - a.

In this question.

We start with:

f(x) = x²

First, we look at changes in x. We have

f(x-4) = (x - 4)². So a translation of 4 units to the right.

Then

f(x - 4) + 1 = (x-4)² + 1

One unit upwards.

The correct answer is:

The vertex translates 4 units to the right and 1 unit upward


Related Questions

Use number properties to simplify the following expression.

-5 + (5 + 3)

In the box below, show each step in simplifying the expression and explain which property you used in each step.

plzzzz help will give brain list !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

the answer is 3, because you always have to add the numbers in paranthises first. and 5+3= 8. u bring down the -5 and you have -5 + 8 = 3.

Answer:

3

Step-by-step explanation:

Always do the stuff in the parentheses first

-5 + (5 + 3)

-5 + 8

= 3

find the cost of a $20,700 car plus 6% sales tax

Answers

Answer:

$21,942

Step-by-step explanation:

Ask Siri

Answer:

$21,942

Step-by-step explanation:

6%=0.06

20,700*0.06=1,242

$20,700+$1,242=$21,942

A bag contains 4 blue coins and 7 red coins. A coin is removed at random and placed by three of the other color.

What is the probability that the removed coin is blue?​

Answers

Answer:

The probability is 7/11

Step-by-step explanation:

This is because there are 7 blue coins that you can grab out of 11 coins in total.

4. Astronomers have discovered a new constellation made up of Star A, Star B, and Star C that forms
a right triangle. The angle at Star A is 90 degrees. Star A and Star B are 50 lightyears apart, while
Star A and Star C are 120 lightyears apart. How many lightyears apart are Star B and Star C?

Answers

Answer: The distance between Star B and Star C can be found using the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the hypotenuse (the longest side). In this case, the lengths of the two shorter sides are the distances from Star A to Star B (50 lightyears) and from Star A to Star C (120 lightyears).

So, we have:

(Star B to Star C)^2 = (Star A to Star B)^2 + (Star A to Star C)^2

(Star B to Star C)^2 = 50^2 + 120^2

(Star B to Star C)^2 = 2500 + 14400

(Star B to Star C)^2 = 16900

Taking the square root of both sides:

Star B to Star C = √16900

Star B to Star C = 129 lightyears

So, Star B and Star C are 129 lightyears apart.

Step-by-step explanation:

Evaluate the integral. ∫ e^t i + 5t^4 j + In(5t) k) dt ) ie^t + jt^5+k(In(5t)t – t) + C

Answers

The evaluated integral is: \(e^t i + t^5 j + (In(5t) t - t) k + C\)

How to evaluate the integral?

To evaluate the integral \(\int (e^t i + 5t^4 j + In(5t) k) dt\), we integrate each component of the vector function separately, with respect to t:

\(\int e^t i dt = e^t i + C_1\)

\(\int 5t^4 j dt = t^5 j + C_2\)

\(\int In(5t) k dt = (In(5t) t - t) k + C_3\)

where C₁, C₂, and C₃ are constants of integration.

Therefore, the antiderivative of the vector function is:

\(\int (e^t i + 5t^4 j + In(5t) k) dt = e^t i + t^5 j + (In(5t) t - t) k + C\)

where C is a constant of integration that encompasses all three constants of integration.

Thus, the final answer is:

\(\int (e^t i + 5t^4 j + In(5t) k) dt = e^t i + t^5 j + (In(5t) t - t) k + C\)

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A certain forest covers an area of 2300 km. Suppose that each area decreases by 5.75%. What will be the area after 12 years?

Answers

Answer:

The correct answer is 2043 km².

Step-by-step explanation:

Given:

Starting area,

A = 2300 km²

Rate of decreasing,

r = 5.75%

Time,

t = 12 years

As we know,

⇒ \(y = A(1-r)^t\)

By substituting the values, we get

      \(=2300(1-0.0575 )^{12}\)

      \(=2300(0.9425)^{12}\)

      \(=2300\times 0.8883\)

      \(=2043 \ km^2\)

Evaluate: (25/36) ^1/2?

Answers

Answer:

5/6

Step-by-step explanation:

What else would need to be congruent to show that AABC = APQR by SSS?
Giver
AC =PR
BC = QR

A AC = PQ
B. AB = PQ
C. ZAZP
D. ABBA

What else would need to be congruent to show that AABC = APQR by SSS?GiverAC =PRBC = QRA AC = PQB. AB

Answers

Answer:

B, because that's the side that wasn't given

Step-by-step explanation:

The statement AB ≅ PQ is required to be congruent.

Option B is the correct answer.

What is triangle congruency?

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

Now,

ΔABC and ΔPQR

AC ≅ PR  (given) (side)

BC ≅ QR (given ) (side)

AB ≅ PQ (side)

ΔABC ≅ ΔPQR (SSS)

Thus,

AB ≅ PQ is required to be congruent.

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Leo's family is hosting an end-of-summer burger bash. his parents buy a family-size package of ground beef, and leo uses a scale to divide the meat evenly into 32 burger-size portions. each portion weighs 0.25 pounds.

Answers

Answer:

8 pounds

Step-by-step explanation:

How many pounds of meat?

32 x .025 = 8

Use the simple interest formula to determine the missing value. p=$1975, r = ?, t = 4 years, i = $205.40 r = _____% (Do not round until the final answer. Then round to one decimal place as needed.)

Answers

Using the simple interest formula, the missing value, the interest rate (r), is approximately 2.61%

The formula for simple interest is I = P * R * T, where I is the interest, P is the principal, R is the interest rate, and T is the time. Rearranging the formula, we can solve for R: R = I / (P * T).

Substituting the given values, we have R = $205.40 / ($1975 * 4). Evaluating this expression, we get R ≈ 0.0261.

To convert this decimal value to a percentage, we multiply by 100: R ≈ 0.0261 * 100 ≈ 2.61%.

Therefore, the missing value, the interest rate (r), is approximately 2.61%.

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The following is an example of Partial Initialization of an array. int num]= (88, 92, 75, 95, 82): True False Moving to another question will save this response. hp

Answers

Partial initialization allows us to initialize only some elements of an array, leaving the rest with default values.

The statement you provided, `int num]= (88, 92, 75, 95, 82)`, contains syntax errors and is not a valid example of partial initialization of an array in C or C++.

To understand partial initialization of an array, let's consider a correct example. Suppose we have an integer array named `num` with a size of 10. We want to initialize the first five elements of the array with specific values, and the remaining elements should be set to 0. Here's how partial initialization would look like:

int num[10] = {88, 92, 75, 95, 82};

In this example, we declare an integer array `num` with a size of 10. We provide an initializer list inside curly braces `{}` to initialize the elements of the array. The first five elements are explicitly initialized with values `88`, `92`, `75`, `95`, and `82`. The remaining elements are automatically set to 0 because we haven't provided explicit values for them.

Partial initialization allows us to initialize only some elements of an array, leaving the rest with default values. It's particularly useful when we want to set certain values while keeping others as defaults, such as zero in the case of integers.

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Me pueden ayudar con un ensayo de la pelicula ´´Dios no esta muerto´´

Answers

An essay on " God's Not Dead " would include the date it was made, some of the events in the movie, and the lessons the movie teaches.

What happens in God's Not Dead ?

"God's Not Dead" is a 2014 American Christian drama film that tells the story of a college student named Josh Wheaton who is challenged by his philosophy professor to defend his belief in God. The film explores the idea that faith in God is being threatened by a secular culture and highlights the struggles that people of faith face in a world that is becoming increasingly hostile to religion.

The movie centers around Josh's decision to stand up for his beliefs in the face of opposition from his professor, who gives him an ultimatum: either deny the existence of God or face a failing grade in the class. The film raises important questions about the role of religion in society and the importance of standing up for one's beliefs.

One of the key themes of the film is the idea that faith is not just a personal belief, but a vital part of our society and culture. Another important theme of the film is the importance of intellectual curiosity and critical thinking.

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Find the indicated critical value. z 0.04

Answers

The indicated critical value of Z for given significance level, α = 0.04 is 1.75..

The critical Z-value is the point at which the area below the standard normal distribution is cut off. A critical value of z can indicate the probability that a particular variable has. If the absolute value of the test statistic is greater than the critical value, statistical significance is declared and the null hypothesis is rejected. The critical values of Z and t are approximately the same. The critical value test is:

left-sided test, significance level = αright-sided test, significance level = 1-α both tailed test,

Steps to determine the critical value:

Divide the significance level α by 2.1 minus α/2 , 1 - α/2 = 1 – 0.01. 1 - α/2 = 0.99. Find the value 0.99 in the Z table. 2.3 + 0.03 = 2.33

We have given that,

α = 0.04 then α/2 = 0.02

then 1 - 0.02 = 0.98

Using the Z-table,

p-value = 1.7911 4444 ~ 1.75

Hence the critical values z, 0.04, is 1.75

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Find the indicated critical value. z 0.04

What is P.E.M.D.A.S?​

Answers

Answer:

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step-by-step explanation:

PEMDAS stands for the procedure you take when solving an equation

Answer:

PEMDAS

Step-by-step explanation:

P(arenthesis)

E(xponents)

M(ultiplication)

D(ivision)

A(ddition)

S(ubtraction)







(x² + y²) dx is a The equation xy dy + 3xy dx homogenous differential equation. Make the substitution y = v. x where v = v(x) and obtain the separable differential equation involving x and v.

Answers

The separable differential equation is:

(dx/x²) + (dv/dx) = (1 + 3v) dx/(x² + 3x²v)

To solve the given homogeneous differential equation, we will make the substitution y = v·x, where v = v(x).

First, let's find the derivatives of y and v with respect to x:

dy/dx = v + x(dv/dx)    (1)

Now, substitute y = v·x and dy/dx = v + x(dv/dx) into the original equation:

xy(dy/dx) + 3xy dx = (v·x)(v + x(dv/dx)) + 3x^2 dv = x²v + x³(dv/dx) + 3x²v dx

Simplifying further:

x²v + x³(dv/dx) + 3x²v dx = (x² + 3x²v) dx + x³(dv/dx)

Now, divide the entire equation by x³:

(x² + 3x²v) dx/x³ + (dv/dx) = (1 + 3v) dx/x² + (dv/dx)

Finally, rearrange the terms to obtain the separable differential equation involving x and v:

(dx/x²) + (dv/dx) = (1 + 3v) dx/(x² + 3x²v)

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please I need help can you help me :,)?!

please I need help can you help me :,)?!

Answers

Answer:

-4 - 20z sorry if I'm wrong

Based on past experience, it is assumed that the number of flaws per foot in rolls of grade 2 paper follows a Poisson distribution with a mean of 1 flaw per 5 feet of paper (0.2 flaw per foot). Complete parts (a) through (c). What is the probability that in a 1-foot roll, there will be at least 2 flaws? The probability that in a 1-foot roll there will be at least 2 flaws is .0175 . (Round to four decimal places as needed.) What is the probability that in a 12-foot roll, there will be at least 1 flaw? The probability that in a 12-foot roll there will be at least 1 flaw is .9093 . (Round to four decimal places as needed.) What is the probability that in a 50-foot roll, there will be greater than or equal to 5 flaws and less than or equal to 15 flaws? The probability that in a 50-foot roll there will be greater than or equal to 5 flaws and less than or equal to 15 flaws is (Round to four decimal places as needed.)

Answers

a. The probability of having at least 2 flaws in a 1-foot roll of grade 2 paper is 0.0175.

b. The probability of having at least 1 flaw in a 12-foot roll of grade 2 paper is 0.9093.

c. The probability of having greater than or equal to 5 flaws and less than or equal to 15 flaws in a 50-foot roll.

a. The number of flaws in a 1-foot roll of grade 2 paper follows a Poisson distribution with a mean of 0.2 flaws per foot. We can calculate the probability of having at least 2 flaws using the cumulative Poisson probability. Using the formula P(X ≥ k) = 1 - P(X < k), where X follows a Poisson distribution, we can calculate P(X ≥ 2) = 1 - P(X = 0) - P(X = 1). Plugging in the mean of 0.2, we get 0.0175.

b. Similarly, in a 12-foot roll of grade 2 paper, the probability of having at least 1 flaw can be calculated using the formula P(X ≥ 1) = 1 - P(X = 0). With a mean of 0.2 flaws per foot, we have P(X ≥ 1) = 1 - P(X = 0) = 0.9093.

c. To calculate the probability of having greater than or equal to 5 flaws and less than or equal to 15 flaws in a 50-foot roll, we need to sum the probabilities of having 5, 6, 7, ..., 15 flaws individually. Each individual probability can be calculated using the Poisson probability formula. We then sum these probabilities to obtain the desired result. The calculation involves finding the probabilities for each value and adding them together, which will provide the probability of falling within the given range. The specific result for this case can be obtained by carrying out the calculations using the Poisson distribution formula.

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the 3 conditions for sampling distributions must be met in order to calculate p-hat. group of answer choices true false

Answers

The correct answer is False because, If the sample size is large enough (n greater than or equal to 30) the sampling distribution is approximately normal regardless of the shape of the population.

The sample fraction, often called the "p-hat", is the ratio of the number of sample successes to the size of the sample. The standard deviation of (p) decreases as the sample size n increases. This is because n is included in the denominator of the standard deviation formula. That is, (p has) has fewer variables for larger samples. The P-hat (must be a lowercase p with a caret (^) circumflex) indicates the percentage of the sample (this is the x-bar, the average of the samples).

A p-hat (proportion) sampling distribution is a collection of equal-sized repeated sample proportions drawn from the same population to represent it. According to the central limit theorem, the sampling distribution of p-hat is approximately normally distributed for large sample sizes.

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Which of the following rules describes the function graphed below? On a coordinate plane, points are at (negative 1, 1), (1, 2), (3, 3), (5, 4). a. Output = Input c. Output = (0.5)(Input) + 1.5 b. Output = (2)(Input) – 3 d. Output = (1.5)(Input) + 3

Answers

The rule that describes the function is (c) Output = (0.5)(Input) + 1.5

How to determine the rule?

The points on the coordinate plane are given as

(negative 1, 1), (1, 2), (3, 3), (5, 4)

Express as numbers

So, we have

(-1, 1), (1, 2), (3, 3), (5, 4)

Divide the input values by 2

So, we have

0.5(Input) => (-1/2, 1), (1/2, 2), (3/2, 3), (5/2, 4)

Add 1.5 to the input values

So, we have

0.5(Input) + 1.5 => (1, 1), (2, 2), (3, 3), (4, 4)

So, we have

Output = 0.5(Input) + 1.5

Hence, the equation is (c)Output = 0.5(Input) + 1.5

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Some people took part in a game. The frequency shows information about their scores.
Estimate the mean.
Give your answer rounded to 2 decimal places.
Offering 55 points :)

Some people took part in a game. The frequency shows information about their scores.Estimate the mean.Give

Answers

The estimated mean score is 19.22 (rounded to 2 decimal places).

What is the statistics?

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.

To estimate the mean, we need to find the midpoint of each interval, multiply it by the frequency, sum up the products, and divide by the total frequency:

Midpoint of 1-7 interval: (1+7)/2 = 4

Midpoint of 8-10 interval: (8+10)/2 = 9

Midpoint of 11-15 interval: (11+15)/2 = 13

Midpoint of 16-20 interval: (16+20)/2 = 18

Midpoint of 21-35 interval: (21+35)/2 = 28

Midpoint of 36-50 interval: (36+50)/2 = 43

Now, we can estimate the mean:

mean = (413 + 914 + 1318 + 186 + 2813 + 4319) / (13+14+18+6+13+19)

mean = 19.22

Hence, the estimated mean score is 19.22 (rounded to 2 decimal places).

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The list price of a commodity is RM420 and the percentage profit is 40%. If the commodity is sold at a discount of 10%, the profit is____.​

Answers

Answer:

56

Step-by-step explanation:

you first had to get the marked price so t you can get the profit.

just as illustrated in the picture above.

The list price of a commodity is RM420 and the percentage profit is 40%. If the commodity is sold at

A school had 620 students win academic success awards in 2014. In 2015, the school had 527 students win academic success awards. What is the percent decrease in the amount of students receiving academic success awards?

A.15%

B.85%

C.93%

D.19%

Answers

b. 85% decreased in amounts of students

Please I need help fast!!!

Please I need help fast!!!

Answers

The answer is c. because all of the other answers arne tpossible due to where they graphed it

A boy starts at A and walks 3km east to B,he they walks 4km north to C,find the distance and bearing of C

Answers

Answer:

The answer is "5 km".

Step-by-step explanation:

The right triangle will best represent this distance model. Its legs AB and BC and the hypotenuse AC. Through plugs through into Pythagorean theorem the known values,

\(\to a^2 + b^2 = c^2\\\\\to 3^2 + 4^2 = c^2\\\\ \to 9 + 16 = c^2\\\\ \to 25= c^2 \\\\\to c=5\)

You have just signed up for a broadband home internet service that uses coaxial cable. which connector type will you most likely use?

Answers

Answer:

F type connector

Step-by-step explanation:

Use an F-type connector for broadband cable connections that use coaxial cable.

The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,

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F type connector

The F-connector is a coaxial RF connector commonly used for "wireless" terrestrial television, cable television, and common for satellite television and cable modems, usually with RG-6/U cable or with RG -59 / U.

 F connector is also known as threaded connector. There are two main types: 7mm (6.8mm) is the most common and  used in coaxial cable, and 5mm connector  is used in  thin coaxial cable commonly used in satellite system.

The F-connector is an accessory that connects a coaxial cable to an electronic device or  wall outlet.

Type F connectors are highly mechanical and electrically stable coaxial screw connectors  for cable television (CATV), set-top boxes, cable modems and satellite television applications up to 4 GHz

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Question 2 For the following matrix Then [340]
A= [-127]
[-2-44]
(Please use a comma between two numbers.)
(a) The minors M13, M23, M33= 8,-4,10
(b)The cofactors C13, C23,C33= 8,4,10 (c) The determinant det(A) = 68

Answers

For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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24 pennies to 60 pennies

Answers

Answer:

24 x 2.5 = 60...

Step-by-step explanation:

sorry if this is wrong...

have a good day

Find the equilibrium point for the supply and demand functions
below. Enter the answer as an ordered pair.
S(x)=9x+8
D(x)=83−6x
What is
(xE,PE)=

Answers

To find the equilibrium point between the supply and demand functions, we need to set the supply function S(x) equal to the demand function D(x) and solve for x.

Given:

S(x) = 9x + 8

D(x) = 83 - 6x

Setting S(x) = D(x), we have:

9x + 8 = 83 - 6x

Combining like terms, we get:

15x = 75

Dividing both sides by 15, we find:

x = 5

So the equilibrium point is (xE, PE) = (5, PE).

To find the equilibrium price (PE), we can substitute the value of x = 5 into either the supply or demand function. Let's use the demand function D(x):

D(x) = 83 - 6x

D(5) = 83 - 6(5)

D(5) = 83 - 30

D(5) = 53

Therefore, the equilibrium point is (xE, PE) = (5, 53).

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Can somebody help me, please

Can somebody help me, please

Answers

Answer:

uh I don't even know what this is

Answer: x = 500

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c²

300² + 400² = x²

90000 + 160000 = x²

250000 = x²

√250000 = √x²

500 = x

hope i explained it :)

Last year, the Eagles soccer team won 40% of the games they played. If the Eagles played 24 games last year, approximately how many did they win?

40 games
60 games
9 games
10 games

Answers

The answer should be 9 games hope this helps
Answer:
10 games

Step by Step Explanation:
40% of 24 = 9.6
If you round up the answer is 10 games or stick with 9 games
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