Which function does the graph represent?
Of(x) = (x - 2)2 + 3
Of(x) = -(x - 2)2 + 3
Of(x) = (x + 2)2 + 3
O f(x) = -(x + 2)2 + 3

Which Function Does The Graph Represent?Of(x) = (x - 2)2 + 3Of(x) = -(x - 2)2 + 3Of(x) = (x + 2)2 + 3O

Answers

Answer 1

Answer:

The function which represents the graph is:

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

Hence, option  B is correct.

The graph is also attached.

Step-by-step explanation:

From the graph, it is clear that:

The vertex = (2, 3)

The y-intercept = (0, -1)

Let us check the equation

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

Determining the y-intercept:

The value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

substituting x = 0 in teh equation

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

[tex]y=-\left(0\:-\:2\right)^2+\:3[/tex]

[tex]y=-2^2+3[/tex]

[tex]y=-4+3[/tex]

[tex]y=-1[/tex]

Thus,

The point representing the y-intercept is:  (0, -1)

Determining the vertex:

The vertex of an up-down facing parabola of the form ax² + bx + c is:

[tex]x_v=-\frac{b}{2a}[/tex]

As the equation is

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

Rewriting the equation [tex]y=-\left(x\:-\:2\right)^2+\:3[/tex] in the form ax² + bx + c:

[tex]y=-x^2+4x-1[/tex]

The Parabola params are:

[tex]a=-1,\:b=4,\:c=-1[/tex]

Thus,

[tex]x_v=-\frac{b}{2a}[/tex]

[tex]x_v=-\frac{4}{2\left(-1\right)}[/tex]

[tex]x_v=2[/tex]

Now plug in [tex]x_v=2[/tex] in the equation to find [tex]y_v[/tex]

[tex]y_v=-x^2+4x-1[/tex]

[tex]\:y_v=-\left(2\right)^2+4\left(2\right)-1[/tex]

[tex]y_v=-4+8-1[/tex]

[tex]y_v=3[/tex]

Therefore, the vertex of the equation is:  (2, 3)

Hence, the function which represents the graph is:

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

Hence, option  B is correct.

The graph is also attached.

Which Function Does The Graph Represent?Of(x) = (x - 2)2 + 3Of(x) = -(x - 2)2 + 3Of(x) = (x + 2)2 + 3O

Related Questions

How to express 1 2/6 as a simplified improper fraction?

Answers

Answer:

[tex] \frac{4}{3} [/tex]

Step-by-step explanation:

consider downloading photomath

Leslie purchased a new bar of soap. Three days after she originally used
the soap, she was curious how much soap per day she was using. She
decide to weigh her soap and that the bar was 103 grams. Four day later
she re-measured the same bar of sop and record a weight of 80 grams.
Assuming that Leslie uses the same amount of soap daily (and that she
used soap daily), write an equation that shows that amount of soap
remaining after d days of use. *Hint: slope intercept form and you will
need the slope formula

Answers

Answer:

The equation is:

y= 103 --23d

Step-by-step explanation:

The initial amount was 103 grams.

After one day of use the remaining amount of soap was 80 grams.

So the amount of time he spent in one day was:

Each day Leslie spends 23 grams of soap.

if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:

y= 103 --23d

A pack of snack bars includes 2 blueberry bars , 3 chocolate bars , and 5 cherry bars . What is the ratio of the number of blueberry bars to the number of cherry bars ?

Answers

Answer:

2:5 is the ratio in this situations

Step-by-step explanation:

There are 2 blueberry bars, and 5 cherry.

A light bulb consumes 11700 watt-hours in 3 days and 6 hours. How many watt hours does it consume per day?

Answers

Answer:

3600 watt-hours consumed per day.

Step-by-step explanation:

First we'll want to find how many hours are in 3 days and 6 hours.

3 x 24 = 72 + 6 = 78

78 hours is 3 days and 6 hours.

We then divide 11700 by 78 to find out how many watt-hours it will consume per hour.

11700 / 78 = 150

Now that we know how many watt-hours it will consume per hour, we can multiply it by 24 to find out how many it will consume in a day.

150 x 24 = 3600

SOMEONE PLS HELP WITH THIS

Answers

Answer:

blue

Step-by-step explanation:

Answer:

The second option from the left

Step-by-step explanation:

The right answer is the second option because if we follow the pattern through we will get the following...

[tex]y =2(4)^{x} \\y = 2(4)^{0} = 2(1) = 2\\y = 2(4)^{1} = 2(4) = 8\\y = 2(4)^{2} = 2(16) = 32\\y = 2(4)^{3} = 2(64) = 128[/tex]

From this we know the pattern must be 2, 8, 32, 128

SOLVE
[tex](2 x - 4) {?}^{2} [/tex]

Answers

Answer:

4x² - 16.

Step-by-step explanation:

(2x-4)² =?

(2x-4)² = (2x)² - (4)²

= 4x² - 16.

Answer:

x = 2

Step-by-step explanation:

To solve , equate to zero, that is

(2x - 4)² = 0, so

2x - 4 = 0 ( add 4 to both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Plz help will mark brainliest

Answers

Answer: do 8 x 12

Step-by-step explanation:

Answer:

48cm^2

Step-by-step explanation:

(b*h)/2 -> (8*12)/2 -> 96/2 = 48 cm^2

(y - 3)-3/2+(y-3)-1/2=0

Answers

Answer:

y=4

Step-by-step explanation:

HELP PLEASE!! I NEED ANSWER SOON!!!!!

Which of the following is true about the expression sqrt3*sqrt12?
A.It represents the product of two irrational numbers and is equivalent to a rational number.
B.It represents the product of two irrational numbers and is equivalent to an irrational number.
C.It represents the product of two rational numbers and is equivalent to a rational number.
D.It represents the product of two rational numbers and is equivalent to an irrational number.

Answers

Answer:

A. is correct

Step-by-step explanation:

sqrt3*sqrt12 can be rewritten as √3·√12, which can be extended to

√3·√3·√4.

Note that √4 = 2 and that (√3)^2 = 3,

so the final result is 2*3, or 6 (a rational number).

A. is correct:  √3 and √12 are both irrational, but their product is rational.

Please solve as soon as possible

Answers

Answer:

.75

Step-by-step explanation:

Because three divided by four is .75

Answer:

Question 22: 0.75 or 75%

Question 23:   5:2

Step-by-step explanation:

Question 22: 3 divided by 4 equals 0.75

Question 23:  

2.5  = 2.5/1

2.5 × 10/10 equals 25/10

25/10 divided by 5 equals 5/2

5/2= 5:2

Solve for x. (5x) (3x + 28)​

Answers

X is 15 since 5 times 3 is 15

The answer is 15 because of math and calculator

help with question 1

Answers

Answer:

si=Ptr/100

and di solution

need help please thanks​

Answers

Answer:

6x-y = -18

Step-by-step explanation:

m=6
This is the total



In 2019, Chris made $142,000 as a dentist. Social Security tax was 6.2% to a maximum income of $132,900.

Medicare tax was 1.45% of all income. How much did Chris pay in FICA Taxes?

Type your answer

Answers

Answer: $10,298.80

Step-by-step explanation:

Chris made more than the limit required for the Social Security tax so his Social Security tax will be based on the maximum amount of $132,900.

His Social Security tax is therefore:

= 6.2% * 132,900

= $8,239.80

There are no limits for Medicare so Chris will pay taxes on the whole amount he earned of $ 142,000.

Medicare = 1.45% * 142,000

= $2,059

FICA tax = Social security + Medicare

= 8,239.80 + 2,059

= $10,298.80

I need help with this question

Answers

Answer:

a) 2.5 x 10^5

b) 8.1 x 10^4

c) 9.06 x 10^8

d) 1.034 x 10^10

What is the x-intercept of the graph of y=3-5x?
a (3/5,0)
b (-5,0)
c (0,3)
d (0, 5/3)

please help! this is due soon! thanks! :)

Answers

Answer:

3/5,0

Step-by-step explanation:

y=3-5x

5x+y= 3

y. = 3/5x

I think so answer is 3/5,0

There are 25 questions on your math test. You have completed 5 questions so far. What fraction of the total questions do you still need to complete?

Answers

Answer:

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

Step-by-step explanation:

If you have completed [tex]5[/tex] questions, you still have [tex]25-5=20[/tex] more questions to answer. We need to find what fraction [tex]20[/tex] is of [tex]25[/tex], if that makes sense. A fraction is simply a part over a whole. In this case, the part is [tex]20[/tex] and the whole is [tex]25[/tex]. Therefore, the fraction we are looking for is [tex]\frac{20}{25}[/tex], which simplifies to [tex]\frac{4}{5}[/tex]. Hope this helps!

Answer:

4\5

Step-by-step explanation:

25-5

20\25

4\5

hope this helps!

Write 2.673 × 10^4 as an ordinary number

Answers

2.673 × 10^4 is a scientific number, and the number as an ordinary number is 26730

How to rewrite the number?

The number in scientific form is given as:

2.673 × 10^4

Express 10^4 as 10000

2.673 × 10^4 = 2.673 × 10000

Evaluate the product

2.673 × 10^4 = 26730

Hence, 2.673 × 10^4 as an ordinary number is 26730

Read more about standard forms at:

https://brainly.com/question/5756316

#SPJ1

PLEASE HELP ME, JUST WITH THE SECOND ONE MATHH DECIMALSS QUICKKK PLSSS

Answers

hope it's helpful ❤❤❤

THANK YOU.

Answer:

4.35

Step-by-step explanation:

If the divisor have decimal places, multiply by 10, 100 ....

As denominator has one decimal place multiply denominator & numerator by 10

[tex]\frac{26.97*10}{6.2*10}= \frac{269.7}{62}[/tex]

= 4.35

Label each recursive routine as growth or decay (loss) and identify the percent of growth or decay.

a. Start with: 30
Rule: multiply by 1.07
growth by ????? percent


b. Start with: 100
Rule: multiply by 0.86
decay by ???? percent



c. Start with: 75
Rule: multiply by 1.125
growth by ?????? percent

Answers

Answer:

a. Rule: multiply by 1.07

1.07 = 107% = 100% + 7%

Growth by 7%

b. Rule: multiply by 0.86

0.86 = 86% = 100% - 14%

Decay by 14%

c.  Rule: multiply by 1.125

1.125 = 112.5% = 100% + 12.5%

Growth by 12.5%

A cash register contains only five dollar and fifty dollar bills. It contains five times as many five dollar bills as fifty dollar bills and the tital amount of money in the cash register is $2925. How many fifty dollar bills are in the cash register?​

Answers

There 39 $50 and 195 $5.

Jordan signed a rental agreement for her new condo. Based on the contract, who is responsible for paying the gas, electric, and water bills? A. The owner B. The utility company C. Jordan D. Both the owner and Jordan​

Answers

Answer:

Jordan

Step-by-step explanation:

Jerry is Reading at a rate of 2 pages every 4 minutes. which equation shows jerrys reading rate in pages per minute?

Answers

Answer:

1/2 a pager per minute

Step-by-step explanation:

2 pages every 4 mins

1 page every 2 mins

1/2 a page every 1 min

* HELP* A book sold 39,900 copies in its first month of release. Suppose this represents 8.2% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number

Answers

Answer:

Total copies sold= 486,585

Step-by-step explanation:

Giving the following information:

Number of copies sold in the first month= 39,900

% of copies sold in the first month= 8.2%

To calculate the total number of copies sold, we need to use the following formula:

Total copies sold= Number of copies sold in the first month/% of copies sold in the first month

Total copies sold= 39,900 / 0.082

Total copies sold= 486,585

Given that rectangle MNOP ~ rectangle STUV, what is the length of ¯¯¯¯¯¯ T U ?Rectangle M N O P is shown with segment N O labeled 10 and segment O P labeled 4. rectangle S T U V is shown with segment T U labeled x and segment U V labeled 6

Answers

Answer:

[tex]TU = 15[/tex]

Step-by-step explanation:

Given

[tex]\square MNOP \simeq\ \square STUV[/tex]

[tex]NO = 10[/tex]

[tex]OP = 4[/tex]

[tex]TU = x[/tex]

[tex]UV = 6[/tex]

Required

Determine the length of TU (i.e. x)

Because both shapes are similar, then the following equivalent ratios exist:

[tex]NO : OP = TU : UV[/tex]

Substitute values for NO, OP, TU and UV

[tex]10 : 4 = x : 6[/tex]

Represent as fraction

[tex]\frac{10 }{ 4 } = \frac{x }{ 6}[/tex]

Multiply both sides by 6

[tex]6 * \frac{10 }{ 4 } = \frac{x }{ 6} * 6[/tex]

[tex]6 * \frac{10 }{ 4 } = x[/tex]

[tex]x = 6 * \frac{10 }{ 4 }[/tex]

[tex]x = \frac{60 }{ 4 }[/tex]

[tex]x = 15[/tex]

Hence:

[tex]TU = 15[/tex]

Which of the following equation have no solutions?
A. -4x + 5 = -4x - 5.
B. 4x + 5 = -4x + 5
C. 5x + 5 = -4x - 5
D. -4x + 5 = -4x - 4

Answers

Answer:

A,

Step-by-step explanation:

Hey There. Your Answers Are A. And D.

Step-by-step explanation:

pleeease help will give brainliest

Answers

Answer:

2x,5x

Step-by-step explanation:

thats right I am not smart

Answer:

(x,y) = ( -6,8)

Step-by-step explanation:

waiting for brainlist

Heights of American adult women are normally distributed with mean 63.6 inches and standard deviation 2.5 inches. Find the height of an adult woman that corresponds to the 80th percentile.

Answers

Answer:

65.7

Step-by-step explanation:

Given ;

Mean, m = 63.6

Standard deviation, s = 2.5

80th percentile = 80 / 100 = 0.8

The Zscore corresponding to the 80th percentile ; Z < P = 0.842 (Z probability calculator)

Zscore = (x - m) / s

0.842 = (x - 63.6) / 2.5

0.842 * 2.5 = x - 63.6

2.105 = x - 63.6

x = 63.6 + 2.105

x = 65.705

Hello, I need help don't answer the first 3

Answers

Answer:

5. all relations are a function

6. number 4 is not a function

7. 4 is not a function

8. all are functions

9.c

10. x-2=y

11. 2/3

Step-by-step explanation:

The square below has an area of x^2-10x+25 square meters

what expression represents the length of one side of the square?

Answers

Answer:

Answer: Expression that represents the length of one side of the square is x - 5.

Other Questions
How does the Constitution protect our individual rights? How is violence presented in romeo and Juliet Find the distance d (P1, P2) between the points P, and P2.P1 = (-2,5); P2 = (4,0)(P4, P2) - (Type an exact answer, using radicals as needed.) A 10 kg dog runs across the ground and jumps onto an ice-covered pond at 5 m/s. If the force of friction acting on the dog is 8 N, how far will the dog slide before coming to rest? Playtime Industries manufactures custom-designed playground equipment for schools and city parks. Playtime expected to incur $664,000 of manufacturing overhead cost, 41,500 of direct labor hours, and $830,000 of direct labor cost during the year (the cost of direct labor is $20 per hour). The company allocates manufacturing overhead on the basis of direct labor hours. During May, Playtime completed Job 301. The job used 155 direct labor hours and required $12,700 of direct materials. The City of Westlake has contracted to purchase the playground equipment at a price of 20% over manufacturing cost.Required SHOW WORK 1. Calculate the manufacturing cost of Job 301. (hint: remember you have to consider each product cost: direct materials, direct labor and manufacturing overhead)2. How much will the City of Westlake pay for this playground equipment? Playtime Industries manufactures custom-designed playground equipment for schools and city parks. Playtime expected to incur $664,000 of manufacturing overhead cost, 41,500 of direct labor hours, and $830,000 of direct labor cost during the year (the cost of direct labor is $20 per hour). The company allocates manufacturing overhead on the basis of direct labor hours. During May, Playtime completed Job 301. The job used 155 direct labor hours and required $12,700 of direct materials. The City of Westlake has contracted to purchase the playground equipment at a price of 20% over manufacturing cost.Required SHOW WORK 1. Calculate the manufacturing cost of Job 301. (hint: remember you have to consider each product cost: direct materials, direct labor and manufacturing overhead)2. How much will the City of Westlake pay for this playground equipment? simple machines are in a mousetrap What is the mass in grams of 1.00 x 10 24 atoms of Mn?a)91.3 gb) 123.4 gc) 1.66 gd) 166 g what is GST?answer fast PLEASE PLEASE HELP !! issues guidelines for financial system operated by all commerical banks in India If I was asked to think of a number and multiply it by 2, I could write this algebraically as 2x.Write the following algebraically using x as your unknown.I think of a number, multiply it by 2, subtract 3 and multiply the result by 4 Here is a list of numbers13 14 18 2318 23 30 36From the numbers in the list, write down the multiple of 4 and the factor of 28 Triangle ABC is an isosceles with a base AC. The base angles are 60 degrees. Find the length of the base and the length of the altitude from the vertex angle. The length of each leg is 5 "Fishbone: Ilish" and "Palm Sunday" where were written by poets from very different cultures. what common ground do both poems explore?A. the role of food in celebrating a cultural tradition B. the lingering influence of ancestors on a family C. the relationship between religion and foodD. the pain of coping with the loss of a grandparent Plot the points A(9, 11) and B(3, 5). Find midpoint M of AB. Then show that AM = MB and AM + MB =AB write the condensed, complete, and net ionic equations for any reaction that occurs between K2CrO4(aq) and Fe(NO3)3(aq). Which statement best describes the Hindu god Brahma?A.It is said to be the female side of all of the gods.B.Vishnu is worshipped as the preserver of all things in the universe.C.KrishnaIt is the god of the Untouchables and considered lower than other gods.D.It stands above all other gods as the creator and controller of the universe. Henry Millie and Francis each have a savings account at the bank angry has $500.00 in his savings account Millie has $50.00 and Francis has $5,000.00 which correctly describes the value of their BanksA. Henry has 1/10 as much money in his account as Francis and Millie have in their accountsB. Henry has 10 times as much money in his account as Francis and Millie have in their accountsC. Millie has 1/10 as much money in her account as Henry has in his account and a 100 times as much money as Francis has in her accountD. Francis has 10 times as much money in her account as Henry has in his account and a 100 times as much money as Millie has in her account PLEASE HELPPPP......If the sum of two numbers is 5 and their product is 6 then find the sum of the square of the numbers ? jake travels 6 hours for a total of 444 miles on 20 gallons of gas, rate for gallons and hours.