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

I have to go to a few places but my friend needs help with this specific equation!

Thank you!
~Hocus Pocus

Answers

they are adjacent and x=20

Answer:

Hello, this would be a vertical angle graph. Since this graph is a supplementary graph since it stretches about 180 degrees, you would take both 7x and x+20 and set it equal to 180 like this:

7x+x+20=180

Then, you combine the xs and you would get this:

8x+20=180

Then, subtract 20 from both sides like this:

8x=160

Lastly, you would divide 8 by both sides and get x which is:

x=20

Step-by-step explanation:

I hope this helped you!

Use the figure below to answer the question. What is the measure of ∠ABC? *

Answers

Answer:

D 98°

Step-by-step explanation:

180-82 = 98 or the long way

3x+5 = 180-82

3x = 93

x = 31

3(31) + 5 = 98

98 is what percent of 280?

Answers

Answer:

35%

Step-by-step explanation:

Find the percent by dividing 98 by 280

98/280

= 0.35

So, 98 is 35% of 280

35 percent
bsjsjjdjd

Please help!! Prob and stats!!!

Answers

i don’t know sorry use mathaway it’s really good 11

⚠️URGENT PLEASEEEEE HELP!!!

Find the m

Answers

Answer

It is 112

Step-by-step explanation:

Write an inequality for the sentence below and then solve and check it. The sum of w and nine is less than 18

Answers

Answer:

w < 9

Step-by-step explanation:

w + 9 < 18

To solve this inequality, we MUST get the w by itself

Subtraction Property of Equality  w + 9 - 9 < 18 - 9

Answer w < 9

In ΔSTU, u = 890 cm, t = 810 cm and ∠T=38°. Find all possible values of ∠U, to the nearest degree.

Answers

Answer:

Answer: 43  and 137  

Step-by-step explanation:

Delta math ez

Just solve this for my friend, can u

Simplyfy 192/-168​

Answers

Answer:

-8/7 is your simplified answer :)

Step-by-step explanation:

Have a nice day <3

PLEASE HELP................................!

Answers

Answer:

-6 and -4 only

Step-by-step explanation:

[tex]1 3/12-2/3=[/tex]

Answers

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

The given problem is a subtraction problem between fractions. The first step in a problem like this is to convert both fractions to a common denominator. In other words, multiply both the numerator and denominator of a fraction by the same value such that the denominator of one of the fractions is the same as the other fraction. The numerator of a fraction is the value over the fraction bar, whereas the denominator is the value under it. Multiplying any fraction by a number over itself is the same as multiplying it by one, thus, the equation will remain true, and be equivalent to the original expression.

[tex]\frac{13}{12}-\frac{2}{3}[/tex]

Convert to a common denominator,

[tex]\frac{13}{12}-(\frac{2}{3}*\frac{4}{4})[/tex]

[tex]\frac{13}{12}-\frac{8}{12}[/tex]

Now perform the subtraction, subtract one numerator from the other, remember, do no perfrom any more operations with the denominators,

[tex]\frac{5}{12}[/tex]

Please read "The lost ship" on storyworks.

1)Read the headline. What does it suggest the article will be about?!?

2) Look at the photos or illustrations. Choose one to examine. What page or paragraph is it on? What does the picture show? What do you learn from the picture

3) Choose another photo or illustrations to examine. What page or paragraph is it on? what does the picture show? What do you learn from the picture and caption?

4) Does the article have map?

if yes, what place does it show?

Please help please please please please please please please please please.
​​

Answers

1. it suggests the article could be about the tale of a lost ship, how it became lost, or how it is doing now.
2. could you please provide a picture
3.again, we cannot see a picture
4. we cannot see if the article has a map

EVERYONE HELP SOS SOS I NEED YOUR HELP THIS IS AN EMERGENCY SOS
SOS
SOS

How is X - 5 mathematically different from x > 5?

INCLUDE A REAL LIFE EXAMPLE IN YOUR RESPONSE AND YOU WILL RECEIVE A BONUS POINT AND MARKED BRAINLYEST ​​

Answers

Answer:

The result is different

Step-by-step explanation:

Hope this helps

X equals 5 in the first and x is greater than 5 in the second. This can translate to life by saying you need 5 points to get an 100 or u need to get more than 5 goals to win the game

There is a bag of marbles that contain 5 blues, 6 red, 3 black, and 2 yellow marbles. What is the probability that you select a blue marble

Answers

Answer:

[tex]\frac{5}{16}[/tex]

Step-by-step explanation:

1) Find the total number of marbles

5 blue + 6 red + 3 black + 2 yellow

= 16 marbles

2) To find the probability of selecting a blue marble, divide the number of blue marbles by the number of total marbles:

5 blue marbles ÷16 marbles

[tex]= \frac{5}{16}[/tex]

Therefore, the probability of selecting a blue marble is [tex]\frac{5}{16}[/tex].

I hope this helps!

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

Answers

I believe it is a triangular prism

PLSSSS HALLPP!!! DUE TODAY!!! PLS AND THANK YOU!!

Find the Compound Interest

Principal: 100
Interest Rate: 0.4%
Time: 1 year

Answers

Answer:

$100.4

Step-by-step explanation:

Compound Interest Formula:

A = P[tex]([/tex]1 + [tex]\frac{r}{100}[/tex][tex])^{t}[/tex]

=> A = 100 x ( 1 + [tex]\frac{0.4}{100}[/tex])^1 = 100.4 (If they asked ... interest rate ... per year, if not then depends - most likely to be days and therefore you will need to change 1 year = 365 days and you will also need to change 1 in the formula above to 365, then you will get the right ans)

Let ​g(x)=4x +9 and ​h(x)=x+2. Find the expression.
​(h◦​g)(x)

Answers

So you plug in g(x) for x in h(x)
Since g(x) = 4x + 9, substitution that in
4x + 9 + 2
4x + 11

Solution: 4x + 11
You also can use a app called “Socratic”

HELP ASAP !!! giving out the brainliest answer !!! plsss help (has to be correct )

Answers

Answer:

b maybe

Step-by-step explanation:

I think it may be being mentally stronger trying to help you

The 'mean', the 'median' and the 'mode' are all measures of central tendency.
A: True
B: False

Answers

Answer: It would be True

-x + 6 = 15, x = _________ what does x equal

Answers

Answer:

15-6

Step-by-step explanation:

if it helps don't forget to like and mark me

x=-9

Hope this helps :T

Assignments
Calculate the circumference and area of the circle shown below. Record your answers,
with units, on the lines provided Use 3.14 for pi.
Calendar
Files
5 in
C = πά
А = 2

Answers

Answer:

That is true

Step-by-step explanation:

You got it right

If A(x1, y1), B(x2, y2), (X3, Y3), and D(xx,ya) form two line segments, AB and CD, which condition needs to be met to prove AB ICD? ОА У4 -У, У, -у, - X4 - X X - X OB. 74-Y3 + X4-X = 0 V₂ - X, X - X, oc Yo-Yay 72-Y1--1 x - x x - X, OD. 12-y, *- X, = 1 x₂ - X, Yo-Y OE Y:-72. X.-X2-0 Y₂-X, X - X, ​

Answers

Answer:

The answer is option C..........

To prove that AB is parallel to CD, we need to show that the slope of AB is equal to the slope of CD.

What is line segment?

A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.

To demonstrate that AB is parallel to CD, we must show that the slope of AB equals the slope of CD.

The slope of AB can be calculated using the formula:

mAB = (y2 - y1) / (x2 - x1)

Similarly, the slope of CD can be calculated using the formula:

mCD = (ya - Y3) / (xx - X3)

If mAB = mCD, then AB is parallel to CD.

Therefore, the condition that needs to be met to prove AB is parallel to CD is: (y2 - y1) / (x2 - x1) = (ya - Y3) / (xx - X3)

For more details regarding line segment, visit:

https://brainly.com/question/30072605

#SPJ7

When evaluating special offer decisions, management should consider: (Check all that apply.)

Answers

Answer:

Incremental Costs.

Available Capacity.

Incremental Revenues.

Existing sales.

Step-by-step explanation:

Does anyone know the answer to this one ???


What number divided by −3 gives 12 as the result

Answers

Answer: -36

Step-by-step explanation: a negative and a negative give a positive so -36/-3=12

(to check your answer you can also always just multiply the two numbers ex: 12 x -3= -36)

Name the song that goes with these lyrics
1. I was rocking off white tryna have a fun time she gone eat like lunch time molly got her on time
2. Im a first class baby u in last baby im a 90's baby but i cook that shi from the 80's
3. I know i have a purpose but ion see the purpose they tell me the death of me gone be the perkys i know the lace the ills i bought them on purpose lifes unreal when deaths uncertain

Answers

Answer:

1. I'll Be Fine - Juice Wrld

2. ON GOD - Juice Wrld

3. Rich and Blind - Juice Wrld

The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.

100 meter race graph of a diagonal line on a coordinate plane going up and to the right with Time in seconds on the x axis and Distance in meters on the y axis. The line begins at the origin and passes through the point 2 comma 20.

Answers

9514 1404 393

Answer:

slope: 10 m/srepresents speed in meters per second

Step-by-step explanation:

The slope is the change in the quantity on the vertical scale, divided by the corresponding change in the quantity on the horizontal scale.

Here, the line goes from 0 to 100 meters on the vertical scale, corresponding to a change from 0 to 10 seconds on the horizontal scale. So, the slope is ...

  m = (100 m)/(10 s) = 10 m/s . . . . slope of the line

The ratio of distance to time is given the name "speed", so ...

  the slope represents the sprinter's speed in meters per second.

What is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet? Be sure to convert so you are using like units.

Answers

Answer:

The height of the tank is 0.5 yards.

Step-by-step explanation:

To determine what is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet, knowing that the volume of a cylinder is equal to pi multiplied by the radius squared, multiplied by the height, the following calculation must be done:

1 foot = 0.3333 yards

R = Diameter / 2

R = 120/2 = 60

3.14 x 60 ^ 2 x H = 1,884

3.14 x 3,600 x H = 1,884

3.14 x 1,200 x H = 1,884

3.768 x H = 1.884

H = 1,884 / 3,768

H = 0.5

Therefore, the height of the tank is 0.5 yards.

(PLEASE HELP) A group of people are sharing some pie. Each person gets the same amount of pie.
Which sentence represents each person getting of a pie?
A. 4 people share 1/5 of a pie.
B. 5 people share 1/4 of a pie.
c. 4 people share 5 pies.
D. 5 people share 4 pies.

Answers

Answer:

a.4 people share 1/5 of a pie

Step-by-step explanation:

[4]
(b) Consider two spheres of radius R = 1 with a separation d
between their centres (see figure below). Use spherical
coordinates to compute the volume, V(d), of the intersection
as a function of d. Sketch the function V(d) and explain why
V(O) = n and V(2) = 0. (You can use the formula for the
volume of a cone without derivation.)
xy plane

Answers

Answer:

Follow Sammy Revv on Spotify and you'll get a 100% on your test

Step-by-step explanation:

name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.

Answers

ABC, CBA, 1, B

the angle is obtuse

Can someone help me with my math pls if your smart comment

Answers

Answer:

sureeeeeeeeeeeeeeeeee

Answer:

okay

Step-by-step explanation:

i hope i can help!

~mina

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