Write a quadratic function whose graph has a vertex of (3,2) and passes through the point (4,7). f(x)=

Answers

Answer 1

Answer:

y=5(x-3)^2+2

Step-by-step explanation:

You plug the point into f(x)=a(x-3)^2+2... that already has already been solved for the vertex that you want. Then you swap it out for the solution you have solved for.

Answer 2

The required function is [tex]f(x)=5(x-3)^2+2[/tex].

Important information:

Vertex of a quadratic function is (3,2).The graph passes through the point (4,7).Quadratic function:

The vertex form of a quadratic function is:

[tex]f(x)=a(x-h)^2+k[/tex]

Where, [tex]a[/tex] is a constant and [tex](h,k)[/tex] is vertex.

Substitute [tex]h=3,k=2[/tex].

[tex]f(x)=a(x-3)^2+2[/tex] ...(i)

The graph passes through the point (4,7). Substitute [tex]x=4, f(x)=7[/tex] in (i).

[tex]7=a(4-3)^2+2[/tex]

[tex]7=a+2[/tex]

[tex]7-2=a[/tex]

[tex]5=a[/tex]

Substitute [tex]a=5[/tex] in (i).

[tex]f(x)=5(x-3)^2+2[/tex]

Therefore, the required function is [tex]f(x)=5(x-3)^2+2[/tex].

Find out more about 'Quadratic function' here:

https://brainly.com/question/15280010

Related Questions

pls help ill give brainliest

Answers

Answer: They are incorrect

Step-by-step explanation: They are incorrect because 12+15=27 and 20+9=29 so it won't work out because the numbers need to be equal. I hope this helps!

12+15 = 27 20+9= 29 PLEASE GIVE BRAINLIEST

What is the coefficient of the term in x in the following algebraic expressions?
a.2x - 7
b.x/2 - 10
c.- x + 7
d.x + 7
e.- x / 4

Answers

Answer:

a) 2

b) 1/2

c) -1

d) 1

e) -1/4

Step-by-step explanation:

Use the rectangle to the right. Write your answer in simplest form.
Find the perimeter _____
Find the area _____

Answers

Answer:

perimeter: 12x-6

area: 6x-10

Step-by-step explanation:

PERIMETER:

6x-5(2)+2(2)

12x-10+4

12x-6

AREA:

6x-5•2

6x-10

PLEASE HELP ME OMG: Rectangle QUAD has coordinates Q(0,0), U(0, 3), A(5, 3), and D(5,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0) and scale factor 6. What are the coordinates of point U'?
The coordinates of point U' are (???)

Answers

Answer:

0,18

Step-by-step explanation:

0,18 it making me put 20+ so ya

Please help me please I don’t understand and my teacher said I got it wrong for numbers 1 2 and 3

Answers

Answer:

1) 5/9

2) 4/7

3) 3/8

Step-by-step explanation:

1) 5/9

2) 4/7

3)3/8

1. 4:5 or 4/5
2. 4:3 or 4/3
3. 3:5 or 3/5

It takes Diego 124 of an hour to complete a lap on a circular bike track. The track is 13 mile long. What is Diego’s bike speed?

A. 18 mile per hour
B. 18 hours per mile
C. 8 miles per hour
D. 8 hours per mile

Answers

i think D lol???/$-!;&,&:&/

How do you solve this?

Answers

Answer:B

Step-by-step explanation:

m<1 and m<2 are equal to each other so you set the equations equal to each other and solve. I think its 85 degrees so B

Answer is B
I’m guessing

A bank is offering 2.5% simple interest on a savings account. If you deposit $5000, how much interest will you earn in one year? pls help due in 5 mins

Answers

Answer:

125 dollars

Step-by-step explanation:

can anyone help me out, if you answer the question right i will give you a brainliest.

Answers

Answer:

It's different because the experiment is more accurate as it progresses.

Step-by-step explanation:

You'll notice that the higher the numbers get in the experiment the closer it gets to your solution. The theoretical probability of flipping a coin is about 50% heads and 50% tails, but it doesn't always seem like that in an experiment. The experimental probability from your experimentation so far would be 62% of heads and 38% of tails.

1.Make a number line and show all values of x such that… x<−1 and x>1... x=?
2.Make a number line and show all values of x such that x<−1 or x>1
3.Make a number line and show all values of x such that… d x≤−2 or x<−5

I hate RSM

Answers

I believe the answer to be is (2)

Answer:

I only know the answer for the first one, the answer is there is no solution.

Step-by-step explanation:

It would only work if it said or, and it isn't possible to have a value that is smaller than -1 and greater than 1. That would make no sense at all. I'm sure I'm wrong but hope I helped!

What is the circumference of this circle, in centimeters? Use 22/7 for Pi.
A. 33
B. 66
C. 207.4
D. 346.5

Answers

Answer: 66cm

Step-by-step explanation:

Diameter (d) = 21 cm

c= πd = 22/7 x 21 = 22 x 3 = 66cm

it’s should be B if not i’m sorry
good luck

7x(7) + 7(2) = 7(x+2)
How many solutions does this equation have?
-one
-none
-infinite

Answers

Answer: One

Step-by-step explanation:

7x(7) + 7(2) = 7(x + 2)

49x + 14 = 7x + 14

49x = 7x

x = 0

7x(7)+7(2)=7(x+2)

the answer is: one

4. What can be said about the variable in this inequality Y > 5
Answer:
5. What can be said about the variable in this inequality B < 5
Answer:

i need help with these two please help :)

Answers

Answer:

4: You know that the unknown number is above 5

5: You know that 5 is higher than the unknown number

Please mark as brainllest i really need this. Have a nice week

[o]-[o]

\___/

Can you plz help me right now

Answers

Answer:

so the first awnser is 90 and i am verry sorry but i do not know how to do the second one and the third does not have enogh information

Step-by-step explanation:

1. so first 12 inches is one foot, multiply 12 by 60 to get 720 now because it says that 1 inch is 8 feet and 720 is how manny inches it is so 720 divided by 8 is 90.

What expression is equivalent to 3(x + 6)?

Answers

Answer:

3x+18

Step-by-step explanation:

3x+18

hope this helps

During an annual end-of-year performance review, a team of realtors reported the number of homes sold that year. The histogram shows those sales results. Which of the following statements are true about the home sales data set represented by this histogram? Select all that apply.

Answers

Answer:

There were 7 realtors who sold at least 40 homes

i need help with math (plz don't give helpless answer)

Answers

Answer:

Mr. Crosgrove tipped $3.84.

120 pens are not red pens.

She had to pay $270 in taxes.

Step-by-step explanation:

So, to find the percentage of something you convert the percentage to a decimal and then multiply.

For #1

He spent $48, and tipped 8%

to turn 8% into a decimal you bring in down two place values, so it is 0.08. You multiply 48 * 0.08 and you get 3.84.

Mr. Crosgrove tipped $3.84.

For #2

He has 150 flair pens and 20% are red. Multiply 150 by 0.2. You will get 30. Now we know that there is 30 red pens, but the problem is asking how much is not red pens. subtract 150-30 and you get 120, so that is the answer.

120 pens are not red pens.

For #3

She has $2,000 and had to pay 13.5% You have to turn 13.5% into decimal so bring place value down by two so it is now 0.135. Multiply 2,000*0.135 and you get 270.

She had to pay $270 in taxes.

Hope this helps!!

-Ketifa

1. 14.17
2. 68/5
That’s all we really know but that will answer the first 2

PLEASE ANSWER WELL COUNTS AS A BIG GRADE

Answers

Answer:

-A: B

-B: D

-C: A

Hope this helps! :)

Answers:

14A. B: $25.44

14B. D: $6.36

14C: A: peanuts

Comment:

I hope this helps!

brainliest to right answer

Answers

Answer:

Step-by-step explanation:

ikr I hate it when people troll

3.4 is the answer .....

help im just doing this for my brother :C

Answers

Answer:

578

Step-by-step explanation:

118 + 560 = 678

678 - 100 = 578

578 is your answer

Answer:

578

Step-by-step explanation:

Add 18 to 560 and you get 578. Reason why is because they subtracted 18 from 118 and now you got to add it to 560. Hope that made sense

PLEASE HELP ME WITH MY MATH (1-9) BUT SKIP NUMBER 5

Answers

Answer:

1 22

2 57

3 60

4 15

5 14

Step-by-step explanation:

also, how many geometry worksheeta do u have, holy

Select the statement that makes this comparison correct: 0.45 ________ 0.39.
Question 1 options:

0.39 > 0.45

0.45 > 0.39

0.45 < 0.39

0.39 = 0.45

Answers

Answer:

its c

Step-by-step explanation:

look at the tenths

.39 .45

I think that the correct answer would be the third option. Option C

PLEASE HELP WILL MARK BRAINLIEST!!

Answers

uhh i need more context

Answer: 11

Explanation: 2+2+4+1+1+1= 11

Im helping my little cousin do his math the yellow highlighted ones need to be checked. (NOT THE RED HIGHTAILED ONES)

Answers

Answer:

Step-by-step explanation:

i dont understand

When a number is increased by 5.5%, the result is 60. What is the original number to the nearest tenth?

Answers

60.5% is your answer I’m pretty sure

I think that it is 10.909

At the start of 6th grade, Maya measured 140 cm tall. At the start of 7th grade, Maya was 150.5 cm tall. What is the percent increase in Maya's height between the start of 6th and 7th grade?

Answers

I’m gonna say like 6.97 percent but I’d check just in case and I don’t know if you have to round or not

I Double checked and also got 67.1

Help?

I need explaining doe am stoopid

Answers

the answer to the first one is $7.60 because when you add $0.40 with $0.90, you get $1.30. because you have to add this to the money in the piggy bank, you would get $7.60; $6.30 + $1.30

Answer:

1.) 7.60

2.) 3.70

3.) 7.20

4.) 9.20

Step-by-step explanation:

6.30 + 0.40 + 0.90 = 7.60

Barrys has $7.60 total

3.20 + 1.60 = 4.80

8.50 - 4.80 = 3.70

Henrys change is $3.70

1.20 + (1.20 × 5)

1.20 + 6 = 7.20

The bouncy ball and pen cost $7.20 together

Monday: $2.30

2.30 × 3 = 6.9

Tuesday: $6.90

6.90 + 2.30 = 9.20

Joe found $9.20 total on Monday and Tuesday

Solve the equation 1/3 ÷ 6. SHOW YOUR WORK.

Answers

Answer:

the answer is 1/18

Step-by-step explanation:

first when deviding you make the last number the reciprocal of the number it was before, in this case, 1/3 ÷ 6 would equal to 1/3 x 1/6, which would get a result of 1/18, hope this helps!

I also got 1/18 and asked my teacher he said it was right hope it helps

Donna's kitchen is being re-tiled. The diagram of the kitchen is shown. What is the minimum number of square feet of tile that will be needed to complete this job?

Answers

I think it would be 90 be cause 4x5=20 and 10x7=70 70+20=90

Answer: 275 i think

Step-by-step explanation:

Create a list of 5 potential jobs that students of meteorology can obtain.

Answers

researcher
Military and airline forces
Teaching
Storm chaser
Environmental scientist

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