The graph shows a parabola and its focus. Write the equation of the parabola in vertex form.​

Parabola (0, 2)

Focus (0, -1)

Answers

Answer 1

9514 1404 393

Answer:

  y = -1/12x² +2

Step-by-step explanation:

For vertex (h, k) and vertex-to-focus distance p, the vertex form equation is ...

  [tex]y=\dfrac{1}{4p}(x-h)^2+k[/tex]

Here, the vertex-to-focus distance is -1-2 = -3 units. The vertex is (h, k) = (0, 2). So, the equation of the parabola is ...

  [tex]\boxed{y=-\dfrac{1}{12}x^2+2}[/tex]

The Graph Shows A Parabola And Its Focus. Write The Equation Of The Parabola In Vertex Form.Parabola

Related Questions

Use the distributive property to simplify this expression for a parentheses 4(12 + 5)​

Answers

Answer:

68

Step-by-step explanation:

2y + _ x + 8y + 24x is equal too 2(5y+14x). What Is the missing coefficient? (in 2y + _ x + 8y + 24x)​

Answers

Hey, Um not sure what the answer is positively but I think its 2. MIGHT NOT BE RIGHT *BEWARE*

Answer:

4

Step-by-step explanation:

2y + kx + 8y + 24x = 2(5y + 14x)10y + (24 + k)x = 10y + 28x24 + k = 28k = 4

The missing coefficient is 4

please help quick
Could you please not put a link

Answers

Answer: 40°

Step-by-step explanation:

Angle FGH has the same measure as angle EHG. We know this because of the two little red lines on both the angles. Similarly, angles GEH and GFH would have the same measure because they both have one red line. The number of lines will indicate which two measures are equal.

Complete the equations bellow.

Answers

What equations? Explanation:

Write an equivalent expression in standard form by
expanding, collecting, combining.
-5g+(68-4) g= -2.

Answers

The Standard form: 74

What is 20% of 80 plus 15% of 30?

Answers

20% of 80 is 16 and 15% of 30 is 4.5, so the sum is 16 + 4.5 = 20.5.

Use a net to find the surface area of the cereal box

Answers

Answer:

206

Step-by-step explanation:

A=2(wl+hl+hw)

Help me pls !!

Aarón made a picture frame with the dimensions shown in the figure. What is the area of the picture frame?


Answers

Answer:

72 cm²

Step-by-step explanation:

a = large rectangle  - small rectangle

a = (12 * 10) - (8 * 6)

a = 120 - 48

a = 72 cm²

PLEASE HELP find mQT and m

Answers

Answer:

[tex].x1 - 4 { {0.36 + + \times 4xx { {052. < < }^{?} }^{2} }^{?} } \gamma eee} [/tex]

Please help me faster if know what the answer please please?!???

Answers

Answer:

23

Step-by-step explanation:

First of all we find the total number of students:

4+6+2+2+3+4+6+3=30

Then we find the amount of freshmen’s

4+3=7

Now we find the Fraction which represents the freshmen to all ratio:

[tex]\frac{7}{30}[/tex]

which is equal to:

0.2333...

Which can be converted into a percentage by multiplying it by 100

0.2333...×100=23.333...

Which is rounded down as the third digit, the 3, gets rounded down

so the answer is 23

What is 15% of 12 meters?

Answers

Answer:

1.8 meters

Step-by-step explanation:

Multiply 12 by 0.15 to get your answer. You multiply because the question says "15% of 12 meters" which means you need to multiply.

Answer: 1.8

Step-by-step explanation:

Multiply 12 by .15 (15% as a decimal), and you'll get 1.8 meters. You multiply, because it says 15% of 12 meters.

A scientist uses a submarine to study ocean life.
She begins at sea level, which is an elevation of 0 feet.
She travels down 4.2 feet.
She then travels directly up 3.4 feet.
Next, she descends a second time, 10 feet.

Answers

Answer:

Below

Step-by-step explanation:

0 ft -4.2 + 3.4 - 10 = -10.8 ft     or 10.8 ft below the surface

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Click and place the simplified expression after its original expression.

Answers

You have to show what we need to simplify ss bc

Consider two people where one person is 20% taller than the other but proportioned in exactly the same way.​ (That is, the taller person looks like a larger version of the shorter​ person.) Suppose the shorter person has a 31​-inch waist. What size is the taller​ person's waist?

Answers

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

Plz help really need it its my final grade

Answers

Answer:

C

Step-by-step explanation:

48 × 19.5 = 936in

936in = 78ft

A 3-gallon container of disinfectant costs $36.24. What is the price per quart?

Answers

Answer:

10.74666666666667 per quart

Step-by-step explanation3 divided 36.24

Solve for x. 3X - 4 3X - 8

Answers

Answer:

x = 2

As x = 12/6 = 2

Step-by-step explanation:

3x-4+3x-8

3x+3x-4-8

= 6x-12

FACTORISING for check and set to zero

6(x-2)

6x -12 = 0

Cancel out left by adding 12 to both sides then applying /6 to both sides to cancel 6 left side.

6x--12 + 12 = 0 + 12

6x / 6  =  12  / 6

x = 12/6

x = 2

or balance as grouping by separation  = multiply at end by  -1

3x+3x = --4 - 8

6x  = - 12

x = - 12/6

x = - 2

x = - 2  ( -1 )

x  = 2

According to Okun's law, if output grew 7% and full-employment output rose 5%, what would be the change in the unemployment rate

Answers

Answer:

the change would be 2% of course

The change in the unemployment rate is -1%.

Given to us:

output grew = 7%

full-employment output grew = ΔY = 5%

According to Okun's law,

employment output - 2 (change in the unemployment rate) = output grew

5% - 2(Δu) = 7%

- 2(Δu) = 7% - 5%

- 2(Δu) = 2%

[tex]\bold {\Delta u = \frac{2\%}{-2} }[/tex]

[tex]\bold{\Delta u = -1\%}}[/tex]

Hence, the change in the unemployment rate is -1%.

To know more visit:

https://brainly.com/question/3129560

can y'all help this math question ​

Answers

Step-by-step explanation:

SA= 2(5×11)+(5×12)+(11×12)

SA= 2(55+60+132)

SA= 2(247)

SA= 494cm^2

Mary split her gross pay from last week equally between her student loans, rent, and savings. She put $450 in her savings account. Write and solve an equation to determine how much Mary earned last week.

Answers

Answer:

1350

Step-by-step explanation:

if she spilt her pay EQUALLY between 3 things, and she added 450 to her savings, everything else would be 450 too. so 450 x 3 = 1350

17. Higher Order Thinking In 4th grade,
Richard read 37 books. In 5th grade, he read
9 more books than the year before. This
year, in 6th grade, Richard plans to read at
least 12 more books than the total number
of books read in both 4th and 5th grades.
Richard writes the inequality b≥ 180 to
show the total number of books he will
have read in 4th, 5th, and 6th grades. Is his
inequality correct? Why or why not?

Answers

Step-by-step explanation:

No, Richard's inequality is not correct. In order to determine the correct inequality, we first need to find the total number of books that Richard read in 4th and 5th grade. In 5th grade, he read 9 more books than in 4th grade, so the total number of books he read in 5th grade was 37 + 9 = 46 books. The total number of books he read in 4th and 5th grade is therefore 46 + 37 = 83 books.

Since Richard plans to read at least 12 more books than the total number of books he read in 4th and 5th grade, he needs to read at least 83 + 12 = 95 books in 6th grade. In order to have read at least 180 books in total over 4th, 5th, and 6th grade, his inequality should be b ≥ 180. However, b represents the number of books he plans to read in 6th grade, which means the inequality should be 95 ≥ 180, which is not true. Therefore, Richard's inequality is not correct.

ogether Brianna and Hushley saved $336 for their trip to France. Hushley saved $120 more than Brianna. How much money did Brianna save?

Answers

Answer:

Brianna saved $108

Step-by-step explanation:

First take away 120 from the total, you will be left with 216

Then divide the final amount in two 216/2 will be 108

Choose the solution set represented by the following graph

Answers

The answer to the question is the first one

Please help! Ubehebe crater in death Valley has a diameter of a little more than 1/2 a mile. If Latisha walks around its rim at a rate of 2 mph, about how long will it take her to walk all the way around the crater? Round your answer to the nearest tenth. Use 3.14 for pi.

Answers

The time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

here,
Ubehebe crater in Death Valley has a diameter of a little more than 1/2 a mile.
Circumference of the rim,
= πD

= 3.14 × 1/2
= 1.57 mile

Time = Distance/speed
Time = 1.57 / 2
Time = 0.785 hours

Thus, the time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.

Learn more about speed here:
https://brainly.com/question/7359669

#SPJ1


A manufacturing machine has a 3% defect rate.

If 7 items are chosen at random, what is the probability that at least one will have a defect?

Answers

Answer:

6.79%

Step-by-step explanation:

1.00 - 3=0.97

7 * 0.97 = 6.79

Find the surface area of the cylinder. Round your answer to the nearest tenth.

Height = 12
Radius = 3

Answers

Answer:

282.74

Step-by-step explanation:

Lacey runs a stable that boards a range of horses.
brown 8
black 9
gray 3
Considering this data, how many of the next 15 horses that come to board should you expect to be brown horses?

Answers

Answer:

Step-by-step explanation:

8 out of 20 horses are brown

so

8/20

so

2/5

so

2/5 * 15 = 6

so

6 horses should be brown out of 15

Directions: Determine whether each relation is a function. Explain your answer.
X
12)
10)
#IN
13)
x
14)
15)
10
1

Answers

Therefore ,We can infer the following from the rule for when a relation represents a domain and range : 16) Is not a function. 18) Is not a function, while 17) Is one.

What is a domain?

The domain of a function is the set of possible values that it can accept. The x-values of a function like f are represented by these numbers (x). A function's domain is the set of possible values on which it can be used. This set is the value that the function returns after the insertion of the x value. Y = f is the definition of a function with x as the independent variable and y as the dependent variable (x). A value of x is said to be in a function's domain if it can be successfully used to produce a single value of y by using the value of x.

Here,

we have that for this issue:

It is not a function in item 16 since input 5 is translated to outputs 2 and 4.

Item 17 is a function since each input is assigned to a single output.

It is not a function in item 18 since input -2 is mapped to outputs 13 and 15.

To know more about domain visit:

https://brainly.com/question/28135761

#SPJ1

URGENT LOL PLS HELP

Answers

Answer:

[tex] {3x}^{2} + 24x - 6[/tex]

Step-by-step explanation:

To find the area of a rectangle you have to multiply the length by the width.

In your problem, the length and width are both equations, so you just have to multiply each part of the equation separately.

For example, if you were to put both equations with one over the other, you just have to multiply the aligned numbers.

The length is: x2 + 6x + 3

The width is: 3x2 + 4x - 2

and if you multiply the aligned numbers together, you get

3x2 + 24x - 6. Because:

x2 × 3x2 = 3x2,

6x × 4x = 24x,

and 3 × -2 = -6

Answer:

Blah

Step-by-step explanation:

Ben's living room is a rectangle measuring 12 yards by 144 inches. By how many feet does the length of the room exceed the width? PLEASE ANSWER PLEASE​

Answers

Answer:

24 feet

Step-by-step explanation:

ok, so first we need convert the yards into feet.

12 yards=36 feet

(one yard=3 feet)

then, we need to convert the inches into feet.

144 inches=12 feet

(one foot=12 inches)

so now, our dimensions are 36 feet by 12 feet

36-12=24

the length of the room exceeds the width by 24 feet!

hope this helped <33333333333

Other Questions
Question Mode Multiple Choice Question How is retailing in the United States different when compared to the European Union, China and India Does a ball rolling on an inclined plane have the same acceleration on the way up as it does on the way down? I ______(be) very sad if you do that Which of the following statements is TRUE based on the information given? If you cant see, my apologies, but you can zoom in so you can see the answer choices! DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :) how to graph a parent function and describe the transformations it obtains? A nurse is reviewing information about the Health Insurance Portability and Accountability Act (HIPAA) with a newly licensed nurse. Which of the following statements by the newly licensed nurse indicates a need for further teaching?"Information about a client can be disclosed to family members at any time.""A client's address would be an example of personally identifiable information.""HIPAA established regulations of individually identifiable health information in verbal, electronic, or written form.""HIPAA is a federal law, not a state law." In Exercises 7-8, find the domain of the function.7. f(x) = x-5/x + 28. h(x) = 4x (3x+2)(2x-7) answer? How do you write a good paragraph example? Plz help!!! will give 20 pointsWhich of the following values are possible probabilities an event will happen?a. -2b. 3/2c. 1/2d. 3 cual es La importancia de proteger la capa de ozono Restate Ramn's thoughts about his trip to San Juan more succinctly using direct object pronouns.ModeloQuiero hacer una excursin.Marcos est pidiendo el folleto turstico.Necesitamos llevar los pasaportes.Voy a hacer mi maleta.Javier debe llamar a sus padres.Ellos desean visitar el Viejo San Juan.Puedo llamar a Javier por la maana.Prefiero llevar mi cmara. Please answer these question(s)! It has to do with math statistics. I will give you brainliest and thanks! Which event preceded the revolutions of 1989?Solidarity candidates were elected in Poland.Hungary implemented a free market economy.Communist rule ended in Czechoslovakia.Gorbachev made reforms in the Soviet Union. American Association for Artificial Intelligence. 17 Mar. 2001.. Adele is the captain of her soccer team. She reminds the other players about the importance of good team etiquette after she observes something happening frequently at practice. What did Adele mostly likely see? Aaliyah and her friends had a movie marathon. They started watching movies at 1:29 P.M. The movie marathon ended at 9:04 P.M. How long did the movie marathon last? FINAL QUESTION WILL GIVE BRAINLIEST TO CORRECT ANSWER!!! PLEASE SHOW WORK!! please help me find the surface area of this triangular prism Directions: Find the area of each shaded region. Assume that all angles that appear tobe right angles are right angles.