Find the equation for the
following parabola.
Vertex (2, -1)
Focus (2, 3)

Find The Equation For Thefollowing Parabola.Vertex (2, -1)Focus (2, 3)

Answers

Answer 1

Answer:

(x−2)^2=16(y+1)

Step-by-step explanation:

Answer 2

The equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

The vertex of the parabola = (2, -1)

The focus of the parabola = (2, 3)

As we know, the vertex form of the parabola is given by:

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

(x - 2)² = 4a(y - (-1))

(x - 2)² = 4a(y + 1)

The value of a can be found using the formula:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

(c, d) = (2, 3)

a = √[(2-2)² + (3-(-1))²]

a = √ (3+1)²]

a = 4

(x - 2)² = 4(4)(y + 1)

(x - 2)² = 16(y + 1)

Thus, the equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ2


Related Questions

b) The graph of y = x^2 + 1 is drawn on
the axes on the left.
Use the graph to estimate the
values of x when y = 4.
Give your answers to 1 decimal
place.​

Answers

Answer:

(-1.7,1.7)

Step-by-step explanation:

OK, first draw the line y=4.

It's a bit misleading- where you think 4 should go is actually 2!

Check the scale and draw down where the two points meet on the line. They should be the same.

You get -1.7 and 1.7

The value of x is [tex]x=\pm\sqrt{3}[/tex]

Graph of parabola:

The given function is;

                        [tex]y=x^{2} +1[/tex]

We have to find value of x when [tex]y=4[/tex]

               [tex]y=x^{2} +1\\\\4=x^{2} +1\\\\x^{2} =4-1=3\\\\x=\pm\sqrt{3}[/tex]

Graph is also attached below.

Learn more about the parabola here:

https://brainly.com/question/12896871

The seagull population on a small island in the Atlantic Ocean can be calculated using the formula

P(t) = 5.3/11/?, where P is the population in hundred thousands, and t is in years. What will the seagull

population on the island be after 5 years? (Round to the nearest tenth.)

a. about 41.6 hundred thousand

c. about 172.4 hundred thousand

about 3.7 x 10' hundred thousand d. about 66.5 hundred thousand

Answers

The correct relation for the sea gull population is: P(t) = 5.3t^(11/7)

Answer:

d. about 66.5 hundred thousand

Step-by-step explanation:

Given that :

P(t) = 5.3t^(11/7)

Population, P is in hujdred thousand ; t = number of years

Population after 5 years ;

t = 5

P(5) = 5.3 * 5^(11/7)

P(5) = 5.3 * 5^1.5714285

P(5) = 5.3 * 12.542422

P(5) = 66.474840

P(5) = 66.5 (approximately)

Hence, population after 5 years will be about 66.5 hundred thousand.

if someone did a summary of a horror movie then i will give brainliest and 1818 pionts pls brainlies

Answers

Answer:

My summary is on Happy Death Day

Basically there is this girl, she got murdered in the night but before being murdered she spent the entire day being mean and making choices she would later on regret, but when she dies she wakes up again in her room and the same exact things that happened the day the died happened, it was exactly the same. This happened over and over again and she kept dying no matter what she did, it was like a time loop that restarted whenever she was murdered. She had to solve it by killing the one who murdered her or stopping it somehow, she tried everything to avoid being killed. She even got herself sent to jail but still died there, she made a list and tried figuring out who the murderer was. She spent one day being nice to everyone, thinking she had figured out how to stop the murderer because she wanted her day to be great because she thought she wouldnt be killed that night as she thought she knew how to survive. She ate the cupcake her roommate offered her and wasnt murdered that night (the other days she ignored her roommate) Before she went to sleep she said a quote when she was making her Birthday wish (she died on her birthday, hence the name happy death day) "What do you wish for?" "Tomorrow."

"Just...Tomorrow?" "Yeah." She then woke up again in the time loop, and the day repeated. She was confused to why this happened when at the end of the day her roommate offered her the cupcake. She realized the cupcake had poison in it and killed her roommate. But she died again, still in the time loop. She was so confused, all she knew was that her killer wore a mask. Then, after research she figured out it was a mentally ill patient who was killing her. Her best friend (boy friend/guy friend) then  sacrificed himself for her taking the hit so she could live, she finally was able to escape the killer. But she realized, if she broke out of the time loop, it would continue so that her guy friend/boy friend was dead. The one who sacrificed himself for her, so she (I don't want this answer to get taken down for describing what she did, but let's say she died on purpose) And woke up again in the time loop. This time she rushed to kill the patient who had been killing her every night in the time loop, and the time loop was broken. That's the summary.

Answer:

will a summary of sinister do?

Summary of "Sinister'

so basically it all starts out with a family downsizing their house because of the dad's job. So they move into the house and they find a weird box in the attic, with a few old tapes and a projector, so the dad starts watching the tapes. (on the tapes their are murders of like 5 other families but he doesnt know that.) so then creepy stuff starts happening like first the attic where they found the creepy box keeps opening by itself. then the little girl starts drawing pictures of  murders and her with mr.boogie, and the boy keeps waking up with bruises and injuries, and at the end the girl kills the whole family.

Find the missing side lengths. Can someone help me please

Answers

Those should be your answers I’m pretty sure

***MARKED BRAINLIEST***​

Answers

Answer:

D is the answer

Step-by-step explanation:

Guys help don't have enough time left. This can really effect everything if this is correct so try your best.

Answers

Answer: 180

Step-by-step explanation:

Answer: 180ft^3

Step-by-step explanation:

Find the slope of the line through the points (4,5) and (-7,6)

Answers

Answer:

m = -1/11

Step-by-step explanation:

m = rise/run = (y2-y1)/(x2-x1)

sorry for the bad quality! please tell me what to fill in... thank you!

Answers

Answer: Part A: 3 (yards per second) Part B: 20 (seconds)

Step-by-step explanation:

See answer above :)

anyone know the answer?

Answers

5 maybe (I’m not pretty sure)

suppose I have a 30, 60, 90 right triangle. The hypotenuse is 10 units long. How long are the other sides?

a) short leg = 5; long leg = 5 √2

b) short and long leg = 5 √2

c) short leg = 5; long leg = 5 √3

d) short leg = 5; long leg =8

Answers

Answer:

option c

Step-by-step explanation:

The angles are 30° , 60° , 90° . So its a right angled triangle . We can use trigo.

⇒ sin 30 = p/h

⇒ 1/2 = p/10

⇒ p = 10/2

p = 5

Using Cosine now ,

⇒ cos 30° = b/h

⇒ √3/2 = b/10

⇒ b = √3/2 × 10

b = 53

Short leg = 5Long leg = 53 Hence option C is correct.

Answer:

c) short leg = 5; long leg = 5 √3

Step-by-step explanation:

How long are the other sides?

short leg = 5; long leg = 5 √3

6(x+4)+1= What is the answer to this great math problem

Answers

Answer:

6x+25

Step-by-step explanation:

Answer:

The simplified equation is 6x+25

Step-by-step explanation:

First, you open parentheses or in other words, use distributive property: 6*x+6*4+1. If you simplify that, you get 6x+24+1 which is basically 6x+25. So 6x+25 is your final answer.

What are the coordinates of the point (-1, 5) when it is reflected across the y-axis? *

Answers

Answer:

1,5

Step-by-step explanation:

when reflecting across y-axis it'll be in the same order, but using whatever form that quarter of the coordinate plane is in (e.g. 5,7 ----> -5,7)

The graph represents the length and
I height of a wheelchair ramp. Find the
slope of the ramp.

Answers

Answer: 1/4

Step-by-step explanation: Take point (1,1) put the rise (2) over the run (8) and then simplify.

At sunrise the temperature was -12 C. By sunset the temperature had increased 5 degrees. What is the temperature at sunset? *At sunset the temperature was 19 C. By sunrise the temperature had decreased 4 degrees. What is the temperature at sunrise?

Answers

Answer:

-17°C at sunset

15°C at sunrise

Hey, if you can help I would love it.

Answers

Answer:

the answer is C

Step-by-step explanation:

the number line shows the numbers 70/100 - 80/100. the x appears 6 lines after 70/100 which is 0.76

Based on the table, how much more money would a person with a bachelor's degree earn than a person with an associate's degree over a 30 year career?

A) $16,000
B) $480,000
C) $1,095,000
D) $1,575,000

Answers

Answer:

B) $480,000

Step-by-step explanation:

Annual salary of a person with associate's degree

= $36,500

Over a 30 year career the person would earn;

= 30 × 36500

= $10,95,000

Now, annual salary of a person with bachelor's degree = $52,500

Over a course of 30 years he would earn;

= 30 × 52500

= $15,75,000

Difference = $15,75,000 - $10,95,000 = $480,000

So the person with bachelor's degree would earn $480,000 more than a person with associate's degree.

27 students are going on a field trip and 1 student is staying at school. What is the ratio of
the number of students who are staying at school to the number of students who are going
on the field trip?

Answers

Answer: 1/28

Step-by-step explanation:

The total cost of 5 boxes of pasta is $13.00. There are 12 ounces of pasta in each box. Each box of past costs the same amount.

What is the cost, in dollars, of the minimum number of boxes needed to total 48 ounces of pasta?

Answers

Answer:

minimum =4 cost= 10.40

Step-by-step explanation:

hope this helps:))

3/10 divied by 2/7 pls help

Answers

Answer:

21/20

Step-by-step explanation:

Answer:

1.05 or  21/20 or 105% or

Step-by-step explanation:

plz tell answer for 33 pnts but dont scam​

Answers

Answer:

(i)

Given

∠BED = ∠BAC

Also we see that

∠ABC = ∠DBE as refer to same angle

Since two angles of triangles are congruent, the triangles are similar by AA similarity postulate

ΔABC ~ ΔEBD

(ii)

In similar figures corresponding parts have same ratio. Use ratios to find the value of x:

AB/EB = AC/ED12/8 = x / 4x = 4*12/8x = 6 cm


Find the scale factor that was used

Answers

scale factor is 2
30/15 = 2
20/10 = 2
The scale factor is 1.5.

15/10=1.5

30/20=1.5

Guys pls help me!!!!!

Answers

Answer:

Fourth

Step-by-step explanation:

This isn’t high school math by the way.

The circled object is number 4 in the sequence of the object, thus, being the fourth object.

The answer is B forth

Help me with this please. .. . . . .

Answers

Answer:

Se attached

Step-by-step explanation:

Solution is in the picture

Which expression is equivalent to t + 4 + 3 - 2t

1. t+7
2. -t+7
3. 6t
4. 10t

Answers

Answer:

#2 -t + 7

Step-by-step explanation:

t -2t = -t

4+3 = 7

-t +7

Find the total surface area:

Answers

Answer:

SA = 176 in²

Step-by-step explanation:

SA = (4 x 9 x 4) + (2 x 4 x 4) = 176 in²

Answer:

None of the above (144)

Step-by-step explanation:

A = l x w x h

B = 36

h = 4

9 x 4 = 36

36 x 4 = 144

Let me know if this helps!

Jack is learning to save, spend, and give his money away. He has determined to give away 10% of his summer earnings. If he gives away 256 dollars, then how much did he each this summer?

Answers

Answer:

$2,560

Step-by-step explanation:

Just multiply 256 by 10, and you get his money earned.

What is the mean? If the answer is a decimal, round it to the nearest tenth.
-4 ,4 ,6 ,-7 ,7, 10, 7,9

Answers

Answer:

The mean is 4 if im correct.

Answer:

4

Step-by-step explanation:

-4+4+6+-7+7+10+7+9=32

32/8=4

What is the Mode? 21,28.27.26.27.27.33.28.26.31​

Answers

Answer:

The mode is 27.

Step-by-step explanation:

To find the mode we must first put them in order from least to greatest.

21, 26, 26, 27, 27, 27, 28, 28, 31, 33

The mode means the most common number out of the data.  Therefore since 27 is the most common number, it is the mode.

Hey there!

The mode is basically the number you see MORE THAN ONCE.

So, the numbers in your data plot is/are

“21, 28, 27, 26, 27, 27, 33, 28, 26, 31”

(I’m assuming)

21 is shown ONE TIME

28 is shown TWO TIMES

27 is shown THREE TIMES

26 is shown TWO TIMES

33 is shown ONE TIME

31 is shown ONE TIME

THE BIGGEST ONE THAT’S SHOWN IS: 27 because it was shown in your data plot three times

Answer: 27

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

What are the values of x and y, in the given figure?​

I'll give brailiest to the first response

Answers

Answer:

y = 52

x = 5

Step-by-step explanation:

Side BC and Side BA are congruent sides ( indicated by the two dashed lines. )

This meaning that their opposite angles are also congruent

Side BC's opposite angle is ∠A and side BA's opposite angle is ∠C

Hence ∠A ≅ ∠C

And because ∠A = 52°, ∠C also equals 52°

Hence y = 52°

Now we want to find x

We can do this by creating an equation using the triangle angle rule which states that the angles in a triangle add up to equal 180

so...

180 = 14x + 6 + 52 + 52

now we solve for x

step 1 combine like terms

52 + 52 + 6 = 110

now we have 180 = 110 + 14x

step 2 subtract 110 from each side

180 - 110 = 70

110 - 110 cancels out

now we have 70 = 14x

step 3 divide each side by 14

14x/14 = x

70 / 14 = 5

we're left with x = 5

URGENT!!!! BRAINLIEST FOR CORRECT ANSWER!

At the Little Rock Zoo, the cost for one children's ticket is $10 and the cost for one adult's ticket is $13. On Saturday, the zoo had a total of 1,465 people visit the zoo and took in a total of $16,603. How many CHILDREN visited the zoo? (Number Only)​

Answers

Answer:

1663

Step-by-step explanation:

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