Mathematics College

what is the equation of the following graph in vertex form

What Is The Equation Of The Following Graph In Vertex Form

Answers

Answer 1

Answer:

y=(x-4)²-4

Step-by-step explanation:

Our x-intercepts are (2,0) and (6,0) so we can state them as expressions and expand:

(x-2)(x-6)=0 [Remember that (2,0) is the solution to x-2=0 just as (6,0) is the solution to x-6=0]

x²-8x+12=0 (Standard Form)

x²-8x+12+4=0+4 (Completing the square)

x²-8x+16=4

(x-4)²=4

(x-4)²-4=0

Therefore, our equation for the graph in vertex form is y=(x-4)²-4

Related Questions

Which of the following fractions is closest to 0? 1 point 05/12 0 2/3 O 5/6 O 3/4​

Answers

Answer:

I think 2/3

Step-by-step explanation:

sorry if I'm wrong

Answer:

5/12

Step-by-step explanation:

All the others are more than 1/2. This is the only one that is less than half.

Mr. Duval paid $2,730 to rent a home for 6 months. Ms. Phee paid $5,496 to rent a home for 1 year. Which of the following is true?

Answers

This question is incomplete add context and I’ll be able to answer it probably

Please Help!!!!!!
I need the answer ASAP!

Answers

Bro use Socratic that will help you.

Find the value of x in the triangle shown below x 42 106

Answers

Answer:

Step-by-step explanation:

where is the picture?

Answer:

you need a picture lol

Step-by-step explanation:

What is the recursive rule for an=4n-3

Answers

Answer:

1

Step-by-step explanation:

n=1

4×1=4

4-3=1

I WILL GUVE BRAINERLEST AND A LIKE


Jack needs to replace some flooring in
his house.

Answers

Answer:

B

Step-by-step explanation:

i think

Jeremiah has a bag with 5 red marbles 8 yellow marbles 4 blue marbles and 3 green marbles what is the probability as a percent that he will not pick a green marble​

Answers

Answer:

85%

Step-by-step explanation:

P(not green) = 17/20 which equals 85%

HELP!!! Name the space figure you can form from the net.

Answers

I believe it is a triangular prism

What is one-fifth of a number, x, increased by 24 is equal to eight tenths of the same number, x.

Answers

Answer:

x = 40

Step-by-step explanation:

(x × [tex]\frac{1}{5}[/tex] )+ 24 = [tex]\frac{8}{10}[/tex] × x

0.2x + 24 = 0.8x

0.2x - 0.2x + 24 = 0.8x - 0.2x

24 = 0.6x

0.6x = 24

0.6x × [tex]1\frac{2}{3}[/tex] = 24 × [tex]1\frac{2}{3}[/tex]

x = 40

Answer:

x=40

Step-by-step explanation:

1/5x+24=8/10x

give like denominators

2/10x+24=8/10x

subtract 2/10x on both sides

24=6/10x

divide 24 by 6/10, or multiply by 10/6

x=240/6

refine/simplify

x=40

AB = [ 4 ]. Find A if B=(22]​

Answers

Answer:

A = 2/11

Step-by-step explanation:

22A= 4

(22A)/22 = 4/22

A = 4/22 = 2/11


If the diameter of a circle is 8, then what is its area and its circumference?

Answers

Answer:

A≈50.27

Diameter = 8

Using the formulas

A=πr2

d=2r

Solving forA

A=1

4πd2=1

4·π·82≈50.26548

Answer:

I think it would be 50.24

Step-by-step explanation:

Here's what I did:

1. Diameter = 8 so radius = 4

2. 4 to the second power is 16

3. 16 × 3.14 = 50.24

I'm not sure if what I did is correct, but I hope this helps! :)

pls tell the answer pls

Answers

Answer:

The correct answer is C

Step-by-step explanation:

It’s C I’m pretty sure

Complete the table. Round your answers to two decimal places if necessary.

Answers

cos(225)= -0.71 (2.dp)
tan(-150)= 0.58 (2.dp)

Brainliest for correct answer.

Answers

Answer:

a

Step-by-step explanation:

-4(2x+9)+3x=6-4(x-3)

Answers

Answer x= -54

Hope this helps

The answer x=−54
Hope it helps

Suppose the linear regression line y = 3.125x – 23.115 predicts a lemonade stand's profits based on the number of cups sold. If x represents the number of cups sold, and y represents the lemonade stand's profits in dollars, about how much can the lemonade stand expect in profits if it sells 225 cups?

Answers

Answer:

680

Step-by-step explanation:

A shopping center includes a grocery store and a drug store. One​ afternoon, a total of 200 people visited the shopping​ center, and 121 shopped at the grocery​ store, 91 shopped at the drug​ store, and 33 shopped at both businesses. ​a) How many people shopped at the grocery store or the drug​ store? ​b) How many people shopped at neither the grocery store nor the drug​ store?

Answers

9514 1404 393

Answer:

  a) 179

  b) 21

Step-by-step explanation:

When making a Venn diagram for a problem like this, it often works well to fill in the "both" quantity first. Then that is subtracted from the number for grocery to find "grocery only", and from the number for drug store to find "drug store only." The sum of the numbers inside the circles (88+33+58) is the number who shopped at the grocery or drug store. The number who shopped at neither is the difference between this number and the total number of shoppers (200-179).

What is the volume of a hemisphere with a radius of 3.1 in, rounded to the nearest tenth of a cubic inch?

Answers

The volume of a hemisphere with a radius of 3.1 in. is 62.39 cubic inch

What is a hemisphere?

The Hemisphere is the half part of a sphere.

What is the volume of a hemisphere?

The volume of a hemisphere = (2/3)πr³ cubic units where r is the radius

Given radius is 3.1 in.

volume =  (2/3)π(3.1)³

            =62.39 cubic inch

Thus the volume of a hemisphere with a radius of 3.1 in. is 62.39 cubic inch

To know more about volume of a hemisphere click here

https://brainly.com/question/23178590

#SPJ2

i need help please i will mark u brill

Answers

Step-by-step explanation:

25 - ( 9 - 4.3 ) = 25 - 5.3 = 20.7 ●

Answer:

false

Step-by-step explanation:

rewrite this with 4.3 in place of y first

25 - (9 - 4.3) = 20.7

    25 - (4.7) = 20.7

      25 - 4.7 = 20.7

      25 - 4.7 = 20.3

           20.3 ≠ 20.7

false

hope this helped! good luck matey

-cheesetoasty

-9,7 with a rotation of 180°

Answers

Answer:

(9,-7)

Step-by-step explanation:

Anytime you rotate a coordinate point around the coordinate plane at 180°, each coordinate changes from (x,y) to '(-x, -y). This means they will become the opposite of their original number.

Which property of quadrilaterals inscribed in a circle can be used to find value of X in the figure below?

A. The difference between an opposite pair of angles 180°.

B. The difference between an opposite a pair of angles is 0°.

C. The some of an opposite pair of angles is 180°.

D. The sum of an opposite pair of angles is 360°.

Answers

Answer: that’s the answer c

Step-by-step explanation:

Bc of the work you put in

Please help me im gonna fail.

Answers

Answer:

see below

Step-by-step explanation:

if the radius is 21, then the height is 24  (21 is 3 less than 24)

[tex]v=\pi r^{2} h\\v=\pi 21^{2} (24)\\v=\pi 441*24\\V=\pi 10.584\\v=3.14(10.584)\\V=33234[/tex]

the closest option would be the 33264

If you were flipping a coin, and needed to get 2 heads in a row, what is the probability of getting two heads in a row. Use your probability tree to help. /

Answers

Answer:

1/4

Step-by-step explanation:

If you flip it twice the possible outcomes are

H   H

H   T

T    H

T    T

The chances of you getting H H is 1 / 4.   If you flip it more than twice, the probability changes. Let's try three times. That gives you 8 different choices.

H   H    H     *

H   H    T      *

H   T    H

H   T   T

T   H   H        *

T   H   T    

T   T    H

T   T    T

What this gives is 3 chances out of 8 which is 0.375 and that's better than 0.25

Four would give you an even better result, There are 16 ways of flipping a coin 4 times. The successful results are

H H H H

H H H T

H H T T

H H T H

T H H T

T T H H

H T H H

I'm sure there might be a couple of more, but already you have done better than 3/8

7/16 is almost 1/2

7/16 = 0.4375

I think however that the answer you should submit is 1/4

Justice earned $358.60 this pay period for working 22 hours. How much will he earn if he works 30 hours for the same hourly rate.

Answers

Answer:

489

Step-by-step explanation:

I took 358.60 divided by 22 to find how much they were making per hour which is 16.3 therefore if I took 16.3 times 30 I would get my answer which is 489.

Answer:

$489

Step-by-step explanation:

Justice earns $16.30 per hour (358.6 ÷ 22)

16.3 x 30 = 489

A 5 meter ladder is positioned 3.2 meters away from a building. A) draw a diagram to represent the information.b) calculate how far up the building the ladder is c) write the root of 14.6 to 2 decimal place. Show a picture of the working out

Answers

Answer:i belive that b is the answer from what i got information wise

Step-by-step explanation:

2. Change the fraction to a decimal.
a. 6/100
b. 43/100
c. 3/10
d. 4 23/4,000
How would I do this?

Answers

Answer:

A

Step-by-step explanation:

Answer:

a-0.06

b-0.43

c-0.3

d-I don't know what u were asking 423/4,000 is 0.10575

Step-by-step explanation:

Finding decimals from fractions is easy just divide the top number by the bottom a fraction sign is the same as a division sign I don't know why you use the other one with the dots on both sides instead of just always using this one.

the equation for this line of best fit is shown below, where d is the distance in miles and f is the fare in dollars.

f = 0.1d + 100



Which of these is a correct interpretation of the slope of this line?



A.
The fare increases $10 for every additional mile

B.
The fare increases $0.10 for every additional 100 miles

C.
The fare increase $0.10 for every additional mile

Answers

Answer:

C

Step-by-step explanation:

the .1 is how much it increases per mile

so .10 a mile increase

What could be added to each expression to make it a perfect square? Then
write the perfect square factor.
Expression 1*
2 poi
x2 + 12x

Answers

Answer:

x²

Step-by-step explanation:

just check this 2x²+3x-5=0

giving 10 brainlist to whoever gets it RIGHT​

Answers

0.001276 is the correct answer!10 x 10 x 10 x 10 x 10 = 100,000127.6 ÷ 100,000 = 0.001276Please let me know if I am wrong.

Answer:

.001276

Step-by-step explanation:

127.6 ÷ 10^5

Dividing by 10^5 means we are moving the decimal 5 places to the left

We need to add zeros in front of the number to move it to the left

00127.6

Now move it 5 places

.001276

A clothing salesperson earns a 10% commission on a $65
sale. How much is the commission?

Answers

10% of $65 is 0.1*$65 so $6.50
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