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

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.

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

Important information:

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

explain how to answer the word problem below.

3 feet = 1 yard
John has 476 feet of yarn and he needs to know how many yards he has. How many yards of yarn does John have. (solve and explain)

pls answer god bless you pls no trolls

please help asap I will give brainliest!

Help me with this math please

Can someone solve all of this for me (100 FOR BRAINLIEST)

Now consider the family of lines ax + by = c such that a, b and c are consecutive multiples of each other. what would that mean? give some examples of such lines in this family (coordinates.) what do you notice or wonder?

Which expression is equivalent to 3m – 6?

A. 2(2m +2)
B. 3(m – 2)
C. 2(m + 3)
D. 3(3m – 6)

please help asap!! :0

PLEASE HELP- THIS IS DUE AT 2PM PLSSSS HELPPPP QUICKKKK!! WILL MARK BRAINLIEST


There are three parts to this problem. Solve each percent word problem and show your setup for each one.



You have r rare coins, consisting of p pennies and n nickels.

1. p is 20% of 190. How many pennies do you have?


2. 190 is 200% of r. How many rare coins do you have?


3. n is 60% of r. How many nickels do you have?

-2x+3-4x^2+11-15x+2x^2-15=?

0.5% of what number is 5

Daniel and Edwin went to lunch. Daniel’s meal cost $20 and Edwin’s meal cost $18.50. They each left an 18% tip on the price of their own meal. How much did Daniel and Edwin pay in total?

HELP TEN POINTS AND BRAINLEST IF RIGHT TROLL AND I WILL REPORT YOU!!!

CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION?! :(

The model car is 3 inches long. On the box, it says the scale of the model is 1/42. What is the length of the actual car in feet? (convert your answer from inches to feet.)

A line that includes the points (4,j) and ( – 8, – 9) has a slope of 16 . What is the value of j?

i need help pls
and explination

shamus owes his parents $126 he pays them 60% of the 45 $ he earns as a soocer referee each week how many weeks will it take shamus to pay back all the money he owes to his parents [answer is not 27}

IM TIMEDDD HELP!! Which shows a rational number plotted correctly on a number line?
-3.5
-8
-6
4
-4
-2
0
2
21
2
-18
-20
-16
-14
-12
-10
-
1.00
-10
-6
-4
-2
0
4
2.

Rykin bought a jersey at the sale price of $25. The original cost of the jersey was $40. What percent represents the discount that Rykin received when buying the jersey?

To gauge student preference of a new school mascot, the principal surveyed the members of the school soccer team. Identify the population and sample in the survey.

A. Population: students in the school; Sample: school soccer team
B. Population: school soccer team; Sample: students in the school
C. Population: school soccer team; Sample: principal
D. Population: students in the school; Sample: school mascot

A container is shaped like a rectangular prism and has a volume of 72 cubic feet. Give four different set of measurements that could be the dimensions of the container.

Need the answer to all dem ASAP!!!

Does this check out?
Its for pre-algebra.

the following linear system is to be solved using the elimination method. 5x + 7y=0 x+ 4y= -1 the first step would be to
A. add the equations
B. subtract the equations
C. multiply the first equations by 5
D. multiply the second equation by 5

Jennifer uses rainwater from a barrel to water her garden. The diagram shows the amount of water she used during a 4-day period. Which of the following is closest to the fraction of a full barrel of water that Jennifer used per day?

Question asks
There are 11 red balls numbered from 5 to 15 and 11 green balls number from 7 to 17 in a bag. What is the probability of drawing a ball with an even number on it?

Which of these answers SHOW ALL LIKE TERMS?
(MORE THAN ONE CAN BE CORRECT)

A. 4x^2, 4x

B. 3x, 2x, -4x

C. 3y, 7x

D. All the above

E. 2,3,7

F. x,4x,8x

G. y,7y,3y

Match each equation with a solution from the list of values.
1. 2a=4.6
2. b+2=4.6
3. c÷2=4.6
4. d−2=4.6
5. e+38=2
6. 18f=3
7. g÷85=1
(these aren't important below this)
85
158
2.3
2.6
6.6
9.2
24



USE THESE LETTERS PROVIDED TO GIVE ME AN ANSWER.
D
G
C
E
F
B
A
DO NOT GIVE ME A LINK TO A WEBSITE AND USE YOUR BRAIN, THE THING THAT KEEPS YOU ALIVE AND ABLE TO EXIST.
STOP GIVING ME THIS WEBSITE; cutt.ly/tz3yDpb
THERE IS A REASON WHY I AM ASKING FOR HELP, NOT ASKING FOR SOMETHING TO DOWNLOAD.

what is y
help please

m is equal to the number of terms in this expression
A.2
B.7
C.6
D.9