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

Please help!! I don’t understand how to solve this

Answers

Answer:it is c

Step-by-step explanation:

fjhrhgvfj

Can anyone help me with this please.

Answers

Answer:

sketch them into a graph and use the vertical-line trick. If you don't know what this is, you see if two points pass through the same verticaly. If it does than it is NOT a function. If it doesn't it IS a function

If it does theStep-by-step explanation:

PLEASE HELP
2/3x-1/5>1 x=?​

Answers

Answer:

x>9/5

Step-by-step explanation:

2/3x-1/5(+1/5)>1(+1/5)

[add 1/5 on both sides]

2/3x (÷3/2)>6/5 (÷3/2)

[flip 2/3 to 3/2 so that they cancel out]

x>9/5

PLZZZZ HELP Write 512 as a product of primes use index notation

Answers

Answer:

[tex]\mathbf{512 = 2 \times 2 \times 2\times 2\times 2\times 2\times 2\times 2\times 2}[/tex]

Step-by-step explanation:

Prime numbers are those numbers in which they can be divided by itself and 1. They are formed by two natural numbers higher than 1 but not by multiplying natural numbers that are smaller.

So; using index notation to writing 512 as a product of primes; we have:

[tex]\mathbf{512 = 2 \times 2 \times 2\times 2\times 2\times 2\times 2\times 2\times 2}[/tex]

Liza wants to have more than $750 in her
savings account before she will leave for college.
Right now she has $300, and she is going to
baby sit to earn $ 12.00 an hour. How many hours
will Liza need to babysit before she leaves for
college? What’s the inequality

Answers

Answer:

x is equal to or greater than 38.

Step-by-step explanation:

use the equation 300+12x to find the amount of money in total dependent on x, the number of hours she worked.

Step-by-step explanation:

750-300= $450 left that needs to be save to meet her goal.

set an equation to equal 450 that includes the next part of the information given which is $12 and hour

450=12x

isolate x by dividing 12 to both sides

x= 37.5 hrs

the inequality could be :

750<_ 300+ 12x

Question 5
Nikhil, Davina and Sid share a tin of celebrations amongst themselves in the ratio of 8:12:20
respectively
Given that Davina gets 48 sweets, how many sweets did Nikhil get?
sweets

Answers

Nikhil gets 32 sweets because:

8:12:20
If Davina gets 48 we do 48 divide by 12 which is 4.

So in the ratio we know Nikhil =8
8x4=32

What are the values of x and y?
A.
x equals 136 over 15 and y equals 17 over 15
B.
x equals 64 over 15 and y equals 17 over 15
C.
x equals 8 over 15 and y equals 136 over 15
D.
x equals 64 over 15 and y equals 136 over 15

Answers

Answer:

d. 8 over 15 = 136 over 15 this is the right answer okay

Patrick drives from P to Q at an average speed of 40 mph . His drive back from Q to P is at an average speed of 45 mph and takes two minutes less.

How far, in miles, is it from P to Q?

Answers

Answer:

12

Step-by-step explanation:

What is the quotient of 5y^3/(5y)^-2

Answers

125y^5 (pls mark as brainliest)

How many cubic meters of water are required to fill a rectangular swimming pool 15m long and 10 m wide which is 2m deep throughout.How many liters is that?

Answers

Answer:

300,000 liters

Step-by-step explanation:

Let us have the measurements in cm

100 cm = 1 m

so the measurements are multiplied by 100

we have this as;

1500 by 1000 by 200

The volume is the product of the 3

This is :

1500 * 1000 * 200 = 300,000,000 cm^3

Mathematically, 1 liter = 1000 cm^3

300,000,000 cm^3 will be ;

300,000,000/1000 = 300,000 liters

20 % of the m&ms are red. There were 40 m&ms in the bag . How many red m&ms are there?

Answers

Answer:

8 Red M&M's

Step-by-step explanation:

40 M&M's × 0·20 = 8 red M&M's in the bag

Hope this helps, plz mark brainliest!

answer 8 red m&ms are there

Step-by-step explanation:

20/100*40

100/20=5

40/5=8

answer is 8red m&ms are there

There are 25 dogs and 75 cats. What is the ratio of cats to dogs?
Remember to simplify your answer.

Answers

Answer:

1/3

Step-by-step explanation:

25 goes into 75 three times making it 1/3

1/3 definitely the answer

graph a line that contains the point (3,-6) and has slope of -1/2​

Answers

Answer:

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here, m = slope of the line

b = y intercept

Since, m = -[tex]\frac{1}{2}[/tex]

Equation of the line will be,

y = [tex]-\frac{1}{2}x+b[/tex]

Since, a point (3, -6) lies on the line,

-6 = [tex]-\frac{3}{2}+b[/tex]

b = -6 + 1.5

b = -4.5

Equation of the line will be,

[tex]y=-\frac{x}{2}-\frac{9}{2}[/tex]

Table for the points on the graph,

x      -4         -3         -2        -1          0        

y      -2.5      -3       -3.5      -4       -4.5    

Plot these points and join them to get the graph of a line.

Choose the inequality that represents the following graph.

(16 point will give brainly for correct answer)

Answers

b, x is less than or equal to one

Answer:

I think it's B for x is less than and equal too 1

Step-by-step explanation:

It's probly you should use the line where the shading is going.

GIVING BRAINLIEST IF YOU CAN HELP PLEASE

Answers

Answer:

The rate of change will be $25

Step-by-step explanation:

Since she started from $45 we have to count again so on the chart it goes 5, 10, 15, 20, and 25!

30 earnings for every 10 subscriptions

Denise goes to work with her father. She notices that one man worked 31 1\ 4 hours for the week, and he was paid $9.20 per hour. How much was the man's paycheck, before taxes?

Answers

Answer:

$287.50

Step-by-step explanation:

31.25 x 9.20 = $287.50

Answer:

$287.50

Step-by-step explanation:

1st multiply $9.20 by 31 (which is equal to $285.20)

then divide $9.20 by 4 ($2.30)

then add both answers and you will get $287.50

is this triangle congruent?

Answers

Answer:

I would LOVE to help but your photo is just a black screen for me.  Sorry

I need helppppp!!!!!!

Answers

Answer:

=−24y9

Step-by-step explanation:

4y2(−6y7)

=4y2*(−6y7)

=4*y2*(−6)*y7

=(4*(−6))*(y2*y7)

=−24*y9


Where should the linear inequality y >
3
2
X + 3 be shaded?
A below the line
8 neither
C above the line

Answers

the answer is C above the line
above the line babes

−214=r−45

Help
Asp


Plz

Answers

Answer:

-169

Step-by-step explanation: add 45 on both sides

Answer:

r=-169

Step-by-step explanation:

I hope it helped bro

Please help me with math!
What is the slope of the line shown on the graph?

Answers

Answer:

b- 4/3

Step-by-step explanation:

remember that slope is rise over run


A store marks up its notebook computers by 22%. What price does the store charge
its customers for a $600 notebook computer?

Answers

$732 I believe, hope this helps! <3

Find the slope of the line y = 9x - 1/2

Answers

Answer:

Step-by-step explanation:

m = 9

Step-by-step explanation:

y = mx + b is our formula

m stands for slope

9 is in place of m in the equation therefore 9 is the slope

Consider Brainliest

Plz help me I will give you brainliest and 10 points

Answers

Answer:

0.08522

Step-by-step explanation:

What is m<1?
Show work you don’t have to but if you want to you can?

Answers

Answer:

m<1=88

Step-by-step explanation:

The two inside angles add up to the outside angle, so 44+44=88

The answer would be m<1=88

What type of number ??

Answers

Answer: Rational number

Step-by-step explanation:

54 divided by 2,263????????

Answers

Answer:

0.02386212991

Step-by-step explanation:

Answer:

0.0238621299

7/9 = -1/2 (x +1/3)

What is the value of x?

Answers

Answer: x = - 17/9

Step-by-step explanation:

9. Factorize: 6x2 - 19x + 14.​

Answers

Answer:

Step-by-step explanation:

Here, we want to factor the given polynomial

We have this as;

6x^2 - 19x + 14

= 6x^2 -12x-7x + 14

= 6x(x-2) -7(x-2)

= (6x-7)(x-2)

6x^2-19x + 14 = (6x-7)(x-2)

how do you graph y=-x-2?

Answers

Answer:

Ok i'm going to try to explain this

Step-by-step explanation:

So the X Intercept is -2, and the Y intercept is -2 aswell.

Every 1x, it does down by one. Here is a graph.

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