Given the vertex (2,0) and the point on the parabola (1, 3) find the quadratic equation

Answers

Answer 1

Answer:

[tex]y=3(x-2)^2[/tex]

Step-by-step explanation:

The vertex form of the quadratic function has the following equation:

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

Where (h, k) is the vertex of the parabola, and a is a coefficient different from zero.

We are given the vertex located at (2,0). The equation is now:

[tex]y=a(x-2)^2+0[/tex]

[tex]y=a(x-2)^2[/tex]

Since we know the point (1,3) is on the parabola:

[tex]3=a(1-2)^2[/tex]

3=a(1)

a = 3

Finally, the quadratic equation is:

[tex]\mathbf{y=3(x-2)^2}[/tex]


Related Questions

20 POINTS! 2 + 4n = 11. What is the answer?

Answers

Answer:

I think the answer would be n = 9/4

Select all that apply.

Which rates are equivalent to 25 miles per gallon? i need help lol im failing

Answers

Can you add a picture ? Or tell me the answer choices ?

how do you write x is less than 4 in symbols​

Answers

Answer:

x < 4  or 4 - x

Step-by-step explanation:

Hope I helped please give me the brailiest if you dont mind :)

Please and thank you :)

Find the missing length indicated
i will give brainliest to first correct answer
HELP!!

Answers

Answer:

the answer is B. I hope this helps

Step-by-step explanation:

would you like me to explain?

Answer:

I guess (A) 24 is the correct answer

PLEASE HELP WILL GIVE BRAINLIEST! Solve |3x – 1| = |x+1| by graphing.

Answers

it wold be (0,1) and (2,3)

Answer:

Step-by-step explanation:

I NEED HELP ASAP!!!!!!! I WILL GIVE BRAINLIEST!!!!!!!!!
Chris had 30 minutes to do a three-problem quiz. He spent 11 3/4 minutes on question A and 4 1/2 minutes on question B. How much time did he have left for question C?

Answers

Answer:Chris spent 13 3/4 minutes on question C

Step-by-step explanation:

First let's write an equation:

We know 30 is the total and we are trying to find a part, and 11 3/4 is a part and 4 and 1/2 is a part

So:

30=11 3/4 + 4 1/2 + x

30=16 1/4 + x

- 16 on both sides(to find what x equals to)

13 2/4=x

X=13 3/4

HELP ASAPPP PELASEEEEE

Answers

Answer:

10π cm

Step-by-step explanation:

We require to find the radius (r) of the circle

The area (A ) is calculated as

A = πr² = 25π ( divide both sides by π )

r² = 25 ( take the square root of both sides )

r = [tex]\sqrt{25}[/tex] = 5

The circumference (C) is calculated as

C = 2πr = 2π × 5 = 10π cm

In an effort to save money, you placed $20 in a jar each month for 2 years. You spent 60% on presents for your family. How much do you have left?

Answers

Answer: $552

(20x12) 2 =480

480 x 0.60 = 228

480-228=552

Which pair of lines are perpendicular lines?
O A
y = 4x-6
= 4x+11
B
y=-48-6
y = 4x+11
O c y = 1 - 6
y = 4x+11
Ody=--6
y = 4x+11

Answers

The new law and order the same as that of the world to be a part of the problem is the best and the second half of the year in the United States and the second one of those people who have a good to be a part of this year old and a half ago and it is not a problem with it, but the only thing I can think of is the only one that I have a lot to learn more about the schools ✏️ and the second half of the season ⛄ the first time I have to admit that the government has been a member of the National Academy of Sciences Sciences, but I think it was the best of both the House and the Senate floor and the second half of the year and a half ago and I am sure you have the time or another embodiment of the invention to provide a method of claim to the point ↖️ the first time I have to admit that I have to admit that I have a few more years to come up with a better place to live in this country are the best and I am a big fan of this year, the first of the year in which the user to the right ▶️ the first place and I have to admit.

what is the multiplicative rat of change of the function?
2/3
3/4
4/3
3/2

Answers

Answer:

3/4

Step-by-step explanation:

The "multiplicative rate of change" refers to the rate at which the function increases. The rate of exchange below is [tex]\frac{3}{4}[/tex] because if you multiply this to every value of y, the product is the next value of y.

[tex]\frac{3}{2}[/tex] x [tex]\frac{3}{4}[/tex] = [tex]\frac{9}{8}[/tex] [tex]\frac{9}{8}[/tex] x [tex]\frac{3}{4}[/tex] = [tex]\frac{27}{32}[/tex][tex]\frac{27}{32}[/tex] x [tex]\frac{3}{4}[/tex] = [tex]\frac{81}{128}[/tex]

If the function continues, the next value would be: [tex]\frac{243}{512}[/tex]

Such constant rate causes an "exponential growth."

Jim paid 750$ for his new computer. In addition, she paid 63.75 in taxes. What was the tax rate Jim paid on his new car​

Answers

Answer:= 47812.5

Step-by-step explanation:

PLEASE HURRY WILL GIVE BRAINLIST​

Answers

X=1 FE=8 ED=2 hope this helps

QUICK PLEASE!!!!!
please solve this for me thanks

Answers

Answer:

2.5

Step-by-step explanation:

FG is the exact same as FE which is 2.5.

Which function has a domain of all real numbers?

Answers

Answer:

C

Step-by-step explanation:

This is totally wrong lol

What is the missing number in this pattern?
1,
8,
27,
64,
125,

Answers

Answer:

1, 8, 27, 64, 125, 216, 343, 512,

Subtract: −11−(−6)
please help i can noot g iit

Answers

-5 is the answer
-11-(-6)= -5

Answer:

-5

Step-by-step explanation:

-11-(-6)

-11+6

-5

If this helps please mark as brainliest

John has $50 in his bank account. He gets his usual allowance of $20 and mows two lawns, earning $10 each. He puts that money in the bank. Then John spends $45 on a video game.

Answers

He has 45 dollars left

A company has 64 employees of whom x are members of a union. How many employees are not union members?

Answers

Answer:

To find the number of members that are not part of the union, we take the total number of workers (64) and subtract it with the number of workers that are in a union (x). So because of this, the answer is:

64 - x

55:59
The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents
g(x)?
O g(x) = (x + 9)2 + 4
O g(x) = (x + 9)2 - 4
O g(x) = (x - 4)2 + 9
O g(x) = (x + 4)2 + 9

Answers

Answer:

g(x)=(x-4)^2+9

Step-by-step explanation:

The function representing the g(x) is g(x) = (x - 4)² + 9.

What is Translation of Functions?

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

There are horizontal translation and vertical translation of functions.

Given is a function f(x).

f(x) = x²

A horizontal translation makes the function f(x) to f(x ± k), where k is the unit of translation.

And the vertical translation results in f(x) = f(x) ± k.

Here function f(x) = x² has been translated 9 units up.

f(x) → f(x) + 9 = x² + 9

Then it is translated 4 units to the right,

g(x) = (x - 4)² + 9, since the translation is towards right.

Hence the correct answer is g(x) = (x - 4)² + 9.

Learn more about Translations here :

https://brainly.com/question/29198392

#SPJ7

What property of multiplication allows us to multiply in any order
A. commutative property of multiplication

B. Associative property of multiplication

C. Identity property of multiplication

Answers

Answer:

Its B i did this for math

Step-by-step explanation:

Margaret deposits $1,000 in a savings account that pays 1.4% interest compounded
semiannually. What is her balance after 1 year?

Answers

Answer:

The balance after 1 year is;

$1,014.05

Step-by-step explanation:

To do this, we use the compound interest formula

That will be ;

A =P (1 + r/n)^nt

A is the amount generated which we want to calculate

r is the rate = 1.4% = 0.014

P is the amount deposited = $1,000

n is the number of times it is compounded annually which is 2 (semi-annually means 2 times in a year)

this the number of years which is 1

we have this as:

A = 1,000( 1 + 0.014/2)^(2*1)

A = 1,000(1 + 0.007)^2

A = 1,000(1.007)^2

A = $1,014.05

pls help due asap
Thanks in advance

Answers

Answer:

Angle ABF is 120°.

Step-by-step explanation:

Vertical angles are used to get the measure of angle ABG (3x) and FBE (2x) and all of those added together are 180. Then you use PEMDAS to get x. Then you find ABF by multiplying 3 by 30 (what you get when you use PEMDAS to find x) then you add 30 to that and you get 120.

consider the following word problem. What operation might we include if we were to create an expression? We bought 2 bags of takis for each child, z, and then gave away 1 bag of takis to a teacher

Answers

Answer:

2z-1 it think. jdjdjdjdjdjjdjd

Rectangle A is 10 times as long as rectangle B.



If rectangle A is 80 units long, select all the ways to find the length of rectangle

Answers

Answer:

8

Step-by-step explanation:

80/10=8

what is 17 + (6 + 2x)

Answers

Answer:

23 + 2x

Step-by-step explanation:

17 + 6 + 2x

23 + 2x

In ΔPQR, p = 220 inches, q = 890 inches and ∠R=121°. Find the length of r, to the nearest inch.

Answers

the value of r will be 970 inches Approx.

What are the properties of Triangle?

The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

Given, In ΔPQR, p = 220 inches, q = 890 inches and ∠R=121°.

From the general formula of side of triangle:

c² = a² +b² - 2ab * cos ∠C

In Our case,

a = p = 220

b = q = 890.

c = r

∠C = ∠R = 121 degrees

Thus,

r² = 220² + 890² - 2*220*890 * cos 121°

r² = 941344.455067

r = 970.229073501

r = 970 inches Approx.

Therefore, the value of r will be 970 inches Approx.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ1

Which of the following fraction pairs is equivalent?
6/12 and 8/20. 16/20 and 20/35. 2/6 and 7/21. 8/24 and 8/20

Answers

Answer:

2/6 and 7/21

Step-by-step explanation:

What the rate of change of the function y = 3/2x + 5?

Answers

Answer: 3/2

Step-by-step explanation: Rate of change is the same thing as the slope.

Please help. I don't understand this.​

Answers

Answer:

radius=6

Step-by-step explanation:

arc ACB=6xPi

Pi=3.14159

arc ACB=18.85 (rounded to 2 places)

ACB is a half circle so a full circle would be 18.85x2 or 37.7

circumference (whole circle)=2 x Pi x radius

37.7=2 x 3.14159 x radius

radius= 37.7/(2 x 3.14159)

radius=6

A number divided by –8 is 7.
Equation:
Steps:

Solution:

Answers

Answer:

.

Step-by-step explanation:

Answer:

-56

Step-by-step explanation:

Let the said number be x, so

x / -8 = 7

That's the equation

On solving further, we cross multiply to have

x = -8 * 7

x = -56

That means the number is -56

Other Questions
Set up a proportion to solve: 24 is 25% of what number? Banks are not considered safe to store your money in True or False HELPPP IM MARKING BRAINIEST The variable plotted on the horizontal or x-axis is called the What were the Causes of the French Revolution?:Question 9France experienced a financial crisis in the 1770s. This was brought on in part bythe excessive spending and losses by:Select one:The clergy and the nobilityOThe peasants and the bourgeoisieMarie Antoinette and King Louis XVIoMaximilien Robespierre and Emmanuel J. Sleyes Which relationships describe angles 1 and 2?Select each correct answer.supplementary anglescomplementary anglesadjacent anglesvertical angles The Bridal Shop bought a dress from a supplier for $105 wholesale and applied a 65% markup to the price.If a 7.5% sales tax were added after a 20% discount was used, what would be the total cost to purchase the dress?A $146.20B $149.00C $158.48D $160.17 How many milligrams of medication are in 500 mL of a 1% solution?Help Will give BrianliestWhat is the theme of "My Father Is A Simple Man" Write an algebraic expression for"10 less than h"Answer (no spaces in answer) Estimate the diameter of a circle with a circumference of 80 feet1. 12.74 feet2. 25.48 feet 3. 40 feet4. 50.96 feet 10.) Combine the like terms in the following expression: 8 + 3x + x + 5 + 2x * Martha has two jobs. One pays $15 per hour, and she works at that job 10 hours per week. The other job pays $13 per hour, and she works at that job 30 hours per week. How much money does she make per year? What happens during the process of a cellular respiration? 3(2x + 1) = 6(5x - 4) Now, complete each sentence below by choosing the correct form of the verb pensar, querer, or preferir. Answer by filling in the blank with the correct form of the verb you chose.Yo _____ comprar los zapatos ahora. 1.What does it mean to be fair?2.Name 1-2 examples of systems that help our society function?3.How do these systems influence and impact levels of fairness?4.What is the difference between equality, equity, and justice? How many human systems does a fish have Jermaine and Monica will usually both run 4.5 miles each time they go running. This month, Jermaine ran an additional 27 miles. Which answer choice shows an expression that represents the total distance Jermaine and Monica ran this month if j = the number of times that Jermaine ran and m = the number of times that Monica ran? Evaluate the expression when y = -6Y2+5Y-3