A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (-4, -5)(−4,−5). What is the vertex of the function defined as g(x)=f(x+2)+3g(x)=f(x+2)+3?

Answers

Answer 1

Answer:

The vertex of the function g(x) = f(x + 2) + 3 is (-6, -2)

Step-by-step explanation:

If the graph of the function f(x) is translated h units to the left, then its image g(x) = f(x + h)If the graph of the function f(x) is translated k units up, then its image g(x) = f(x) + k

Let us use these facts above to solve the question

∵ The quadratic function f(x) = y has a vertex point (-4, -5)

g(x) = f(x + 2) + 3

→ By using the two facts above

∴ f(x) is translated 2 units to the left

∴ f(x) is translated 3 units up

→ That means the vertex point must move 2 units left and 3 units up

∵ The rule of translation is T (x, y) → (x - 2, y + 3)

∵ The coordinates of the vertex point of f(x) are (-4, -5)

∴ Its image is (-4 - 2, -5 + 3)

∴ Its image is (-6, -2)

The vertex of the function g(x) = f(x + 2) + 3 is (-6, -2)


Related Questions

will give branlist

The sum of two numbers is 107, the difference is 51. Find the numbers.

Answers

Answer:

Answer is 79 and 28

Step-by-step explanation:

Let two numbers be x and y.

x + y = 107. --> 1

x - y = 51 -->2

solving above equations,

2x = 158

x =79

y = 28

On a construction project, you estimate a total of 80 hours of labor. You will work 40 of the hours . Assistant A will work 25hours and assistant B will work the remaining hours . You earn $22 per hour. Assistant A $15 per hour . assistant B earns

Answers

Answer: assistant A earned a total of $550, assistant earned a total of $225 so in a total they earn a total of $775.

Please help me asap this was due 5 days ago

Answers

Answer:

do 9.60 divided by 12

Step-by-step explanation:

Answer:

$0.80

Step-by-step explanation:

All that is needed for finding this answer is 9.60 ÷ 12 which gets us 0.80.

HELP ME PLEASE Find the slope of the line and write it as a rate of change.

Answers

A slope is also known as the gradient of a line. The rate of change is $0.13/ mile.

What is Slope?

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

Given two of the points on the line of the function (7000, 900) and (20000, 2600). Now, The rate of change for the given function is the slope of the line as shown in the graph. Therefore, the rate of change will be,

Rate of change = ($2600 - $900)/(20,000 miles - 7,000 miles)

                         = 1700 / 13000

                         = $0.13/ mile

Hence, the rate of change is $0.13/ mile.

Learn more about Slope of Line here:

https://brainly.com/question/14511992

#SPJ2

Solve the system of equations.
3y + 10x - 54 = 0
5y - 2x - 34 = 0
2 =
y =

Answers

Answer:

y=3 x=8  (8,3)

Step-by-step explanation:

The auto parts department of an automotive dealership sends out a mean of 3.2 special orders daily. What is the probability that, for any day, the number of special orders sent out will be more than 3?

Answers

Answer:

0.603

Step-by-step explanation:

Given that mean = 3.2

Probability that special order sent out will be no more than 3

Using poisson :

P(x) = (e^λ * λ^x) / x!

λ= 3.2

P(x≤3) : = p(x = 0) + p(x = 1) + p(x= 2) + p(x =3)

P(x = 0) = (e^-3.2 * 3.2^0) / 0! = 0.0407622

P(x = 1) = (e^-3.2 * 3.2^1) / 1! = 0.1304390

P(x = 2) = (e^-3.2 * 3.2^2) / 2 = 0.2087024

P(x = 3) = (e^-3.2 * 3.2^3) / 3! = 0.2226159

Hence ;

0.0407622 +0.1304390 + 0.2087024 + 0.2226159 = 0.6025195

= 0.603

12 yd/min =________ft/s

Answers

Answer:

you need yarn

Step-by-step explanation:

3fts times 12 is equal to=kuha ka calculator

Answer: 12 yd/min = 0.6 ft/seconds.

Because: 36/60 = 36  1/60 = 6  1/10 = 3/5 = 0.6

The formula for the volume of the sphere = 4(pi) 13. Which of the following is the closest approximation to the volume when r, the
radius, is 11 inches?

Answers

Answer:

5572.5 or 5573 inches

Step-by-step explanation:

First of all, the formula is 4/3(pi)r^3

So 4/3(3.14)11^3

So then 5572.5 or 5573 inches

f(1) = 6 f(n) = f(n – 1) – 5 for integer values of n > 1

Answers

look it up lol thats what i di

Please help! BRAINLIEST to correct answer!

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]2 {x}^{3} + 2 {x}^{2} - 40x = [/tex]

[tex]2x( {x}^{2} + x - 20) = [/tex]

[tex]2x(x - 4)(x + 5)[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( a )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The first option is the correct one.

[tex]2 {x}^{3} + 2 {x}^{2} - 40x[/tex]

[tex]2x( {x}^{2} + x - 20)[/tex]

[tex]2x(x - 4)(x + 5)[/tex]

Will spent $3.75 for 5 1/2 pounds of granola. What is his unit rate in dollars per pound to the nearest cent?

Answers

Answer:

Unitary cost (per pound)= $0.682

Step-by-step explanation:

Giving the following information:

Total cost= $3.75

Total pounds= 5.5 pounds

To calculate the unitary cost of each pound, we need to use the following formula:

Unitary cost= total cost / total pounds

Unitary cost per pound= 3.75 / 5.5

Unitary cost per pound= $0.682

In this picture B and F are
midpoints.
x=[ ? ]

Answers

Answer: x = 10

see in the picture, ΔACE has:

+) BF//AE

+) B and F are  midpoints.

=> BF is the median line of the triangle ACE

=> BF = 1/2. AE

=> AE = 2BF

⇔ 5x - 4 = 2.23 = 46

⇔ 5x = 46 + 4 = 50

⇔ x = 50/5 = 10

Step-by-step explanation:

12. Write the EQUATION for 125 is what percent of 200.
A 125 = p x 200
B 125 = p/200
C 125/p = 200
D 125 = 200/2

Answers

Answer:

Step-by-step explanation:

125 =200p

125/p=200

So the answer is option D

The correct equation for 125 is what percent of 200 is:

C (125/p = 200).

To write the equation for 125 is what percent of 200, follow these steps:

Step 1: Identify the unknown value.

In this case, looking for the percent, which can represent as p.

Step 2: Set up the equation.

To express the relationship between 125 and 200 as a percent, use the equation: 125 = p/100 * 200.

Step 3: Simplify the equation.

To simplify, divide both sides of the equation by 200 to isolate p:

125/200 = p/100

Step 4: Simplify further.

To simplify the left side, divide both the numerator and denominator by 25:

5/8 = p/100

Step 5: Rewrite the equation.

Finally, rewrite the equation as:

125/p = 200

Therefore, the correct equation for 125 is what percent of 200 is:

C (125/p = 200).

Learn more about Percent there:

https://brainly.com/question/32354884

#SPJ6

what value for n makes the following sentence true ?

2( n+3 )=5

ILL MARK BRAIIST !!!

Answers

Answer:

-0.5

Step-by-step explanation:

Answer:

n= -0.5

Step-by-step explanation:

2(n+3)=5

2n+6=5

2n=-1

n=-1/2= -0.5

How many miles per hour? please help i will give brainliest<3

Answers

Answer: 9mph

Step-by-step explanation: To figure this out (I'll just finish the problem for you), you have to essentially find a unit rate. Since you know the miles traveled and the time, all you have to do is divide the miles by the minutes to figure out miles per minute. In other words, how much distance is covered in one minute.

3/4 divided by 5 is 0.15. That's how many miles per minute. Now, since they're asking for miles per hour, not per minute, you'd have to multiply the rate by one hour (60 minutes).

0.15*60 = 9

So, the speed is 9 miles per hour

(04.04 LC)
On a coordinate grid, point T is at (2,-4) and point Sis at (2,6). The distance (in units) between points T and Sis
numbers, such as 2.) (5 points)
(Input only whole

Answers

Answer:

The distance 'd' between T and S:

[tex]d=10[/tex]

Step-by-step explanation:

As the point 'T' is located at (2, -4)

So, the point 'T' has the coordinates (2, -4)

And the point 'S' is located at (2, 6)

So, the point 'T' has the coordinates (2, 6)

The distance 'd' between T and S can be computed using the formula:

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]=\sqrt{\left(2-2\right)^2+\left(6-\left(-4\right)\right)^2}[/tex]

[tex]=\sqrt{\left(2-2\right)^2+\left(6+4\right)^2}[/tex]

[tex]=\sqrt{0+10^2}[/tex]

[tex]=\sqrt{10^2}[/tex]

[tex]d=10[/tex]

Therefore, the distance 'd' between T and S:

[tex]d=10[/tex]

Answer:

t and s

Step-by-step explanation:

To which subjects of a real number does the number -22 belong

Answers

Answer:

-22 belongs in integers and rational numbers.

Step-by-step explanation:

-22 can't fit into the natural numbers category because it is a negative number. That also means that it can't go into the whole numbers category. It can fit into the Integers category because it is a number without a fraction. And if it can fit into integers it can fit into the rational numbers as well.

Hope this helped you! ;-D

Use the figures below. What is the ratio of AD to JM?
A.2/3
B.6/5
C.3/2​

Answers

The answer is C. 3/2

Please please help me please it’s due today at 6:50pm please please help me please will mark the brainiest please please help me please

Answers

Answer:

6. nebula

7. a white dwarf star

What is the median 5,7,9,10,16,17,20

Answers

Answer:

10

Step-by-step explanation:

For an odd number of values, the median is the middle value when you write the values in ascending order.

5, 7, 9, 10, 16, 17, 20

The median is 10.

HELP PLEASE
The function f(x) = 0.25x + 1.2 represents the weight of a puppy o weeks after it was born. What does the slope of the function represent?
A.The initial weight of the puppy is 1.2 pounds.
B.The initial weight of the puppy is 0.25 pound.
C.The puppy gains approximately 1.2 pounds each week.
D.The puppy gains approximately 0.25 pound each week.

Answers

D.The puppy gains approximately 0.25 pound each week.

x = no. of weeks in f(x) = 0.25x + 1.2

Answer:

a

Step-by-step explanation:

Find the arc length of the partial circle.

Answers

answer should be 9.42 units, hopefully this helped ^^

A compound proposition that is always ___________ is called a contradiction. A. True B. False

Answers

Answer:

A compound proposition that is always false is called a contradiction

Step-by-step explanation:

A compound proposition that is always false is called a contradiction. Option B is correct.

What is a contradiction?

Contradiction is defined as a situation or set of diametrically opposed ideas. Declaring publicly that you are an environmentalist but failing to remember to recycle is a contradiction.

A compound proposition that is always false is called a contradiction. A contradiction is a statement that contradicts itself, i.e., a statement that cannot be true at the same time. When two statements are combined and lead to a logically untenable conclusion, they are said to be contradictory. If a statement contradicts itself, it must be false. For example, the proposition "This statement is false" is a contradiction, as it leads to a logically untenable conclusion.

Thus, a compound proposition that is always false is called a contradiction. Option B is correct.

Learn more about contradiction here:
https://brainly.com/question/2404344
#SPJ2

A newborn giraffe weighs about 65 kilograms. How much does it weigh in grams?

Answers

Answer:

65,000 grams

Step-by-step explanation:

1 kilogram = 1,000 grams

The giraffe weighs 65,000 grams.

How many gallons of a 70% antifreeze solution must be mixed with 100 gallons of 30% antifreeze to get a mixture that is 60% antifreeze?

Answers

Answer:

350 gallons

Step-by-step explanation:

Let x = number of gallons of 70% solution

   100 = number of gallons of 25% solution

Then, x + 100 = number of gallons of 60% solution

0.70x + 0.25(100) = 0.60(x + 100)

0.70x + 25 = 0.60x + 60

0.10x = 35

      x = 350 gal

Mix 350 gal of 70% solution with 100 gal of 25% solution to obtain 450 gal of 60% solution.

Answer: Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.

Which of the following results in the expression 0.22 x 86? (1 point)

Answers

18.92 I hope it helps

Answer:

18.22

Step-by-step explanation:

Quinzels earn 1254 each month his total deductions is 20%

Answers

Answer:

I believe its $250.80

Step-by-step explanation:

Because 20% of 1254 is 250.8

Answer: Well what you said is not really a question more a statement. But anyway, 1254*.80=1003.20$. So that would be what’s left, the 20% deduction is 250.80$.

0.52 0.25 0.75 0.620 0.062 from smallest to largest

Answers

0.062, 0.25, 0.52, 0.620, 0.75

Answer:

0.062; 0.25; 0.52; 0.620; 0.75

I tried solving this but I accidentally tried figuring out what it would be if it was decreased by 15% instead of increased so now I confused myself an I need help.

Answers

Answer:

120 magazines

Step-by-step explanation:

1.15x = 138

x = 120 magazines before increase

Check:

before increase + increase = sold

120 + 120(.15) = 138

120 + 18 = 138

138 = 138

A large bucket of 200 golf balls is divided into 4 smaller buckets. How many golf balls are in each small bucket?

Answers

Answer:

50 golf balls

Step-by-step explanation:

200/4 is 50. I did that because it says the golf balls are DIVIDED into 4 smaller buckets.

To check the answer you do 50 times four.

Answer:

50 in each small bucket

Other Questions
The time taken by artisans A. B and C to do anembroidery job is 15 hours, 18 hours, and 15 hours.respectively. A, B, and C begin working together butafter 3 hours B is put on another job. How long will Aand C take to finish the embroidery job? please 7th grade english please i will choose the best one. 3. Why is Iran considered a theocracy? (1 point)A. Elected officials represent its citizens.B. A prime minister is the head of a Parliament.C. All final decisions are made by a supreme leader.D. Most power is held by a single dictator. Can someone help me please What type of topography do people tend to settle? The Nile allowed civilizations in Nubia and Egypt to: ............. Cul es la primera cosa que se debe hacer en esa casa? Por qu? Qu debes hacer cuando tienes jugo de colores? Cules son los problemas de estar en el cuarto del muchacho? Qu pasa en la cocina? 1. How isotopes of copper are Cu-63 and Cu-65. How are these two isotopes the same? How are they different?2. What is an isotope?3. Why do elements in the same group have similar chemical properties?4.What are valence electrons? 5.Write the symbol for each of the following elements:The halogen in period threeThe alkali metal in period twoThe noble gas in period oneThe alkaline earth element in period sixAny transition metal in the 5th periodA metaloid in group 14A nonmetal in group 166. What are two differences between a metal and a nonmetaPLEASE ASAP!!!!!!!!!!!!!! Based on the Article, which best replaces the question mark in the diagram above?Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selectedASpaceX plans to establish a moon base with NASA for scientific research.BSpaceX offered flights in "space planes" to take tourists to the edge of space.CSpaceX developed launch vehicles that were both dependable and reusable.DSpaceX is aiming at an un-crewed trip to Mars that could happen as early as 2024. Using rational coefficients, find the factors of a polynomial function that has the following roots. ****Select all that apply**** 3 8i and 7 - square root of 5the choices are(x+3)(x-3)(x^2-9)(x-8i)(x^2+64)(x-7-square root of 5)(x^2-14x+44)and (x^2-14x+54 1+1+2+3+4 is whatit says it needs to be 20 characters long please help. its on ratio. How many moles are there in 3.612 x 1024 atoms of Sulfur? (1) Every wage earner covered under the Social Security Act pays a tax; the employer also pays a tax, which is equal to that paid by the employee. (2) The amount that one can expect to receive each month in old-age insurance benefits depends on one's average monthly earnings. (3) Also, the size of the benefits depends on the number of years one has worked. (4) If a person retires at 65, the monthly benefits are greater than if he or she retires at 62. (5) These benefits are a retirement annuity. (6) In other words, they are paid to the wage earner from the date of retirement to the time he or she dies. (7) In addition, when a wage earner dies, Social Security provides payments to his or her spouse, to dependent parents, and to children until they are about 18 years of age (21 if they are in school). (8) Further, payments are made to a wage earner (and dependents) if he or she is totally disabled and unable to work.The implied main idea of the selection is What is the slope of the line that passes through the points (3,5) and (6, 10)?A. Y= 573B. Y= -5/3C. Y= 3/5D.Y= -3/5 The colonists and Redcoats fought at the____ where the red coats retreated plsssssdo all of the questions and I give you brainlist .make sure they are right The table below contains characteristics of four different elements. Characteristics of Four Elements Element Number of Protons Number of Valence Electrons 1 ca 4 2. 11 1 1 3 18 8 4 37 1 1 What conclusion can be made from the information above? Element 3 is a metal and Element 1 is a metalloid. Element 2 is the same element as Element 3. Element 1 has very similar chemical properties as Element 4. Element 2 has very similar chemical properties as Element 4. Ayer, nosotros (divertirse) mucho en la fiesta de Ana. Which transitional word or phrase is most commonly used in the cause-and-effect organizational pattern?Next,Above all,Similarly,For this reason,