Write the equation of a parabola in vertex form,
f(x) = a(x – h)2 +k, with vertex (-1, 8) and
passing through (3,4)
You must show your work to receive full credit

Answers

Answer 1

Answer:

Step-by-step explanation:

Vertex-form equation for a vertical parabola with vertex (h,k):

y = a(x-h)²+k

Plug in coordinates of vertex:

y = a(x+1)²+8

plug in (3,4) and solve for a:

4 = a(3+1)²+8

a = -¼

The equation of the parabola is

y = -¼(x+1)²+8


Related Questions

Please help with this question

Answers

To find out one book you have to divide 65 by 5

65/5 = 13

The answer is $13 per book

Answer:

One book would cost $13.

Step-by-step explanation:

To solve this all you have to do is divide 65 by 5. Since 65 divided by 5 is 13, 13 is your answer. So one book would cost $13.

I hope this helps you.

3/4÷1/5 gffgdfdgfggdggdgdgdfgdgdgdgdgdgdgdgdfgdfgdgd ancer

Answers

Answer:

improper fraction- 15/4

Mixed number-  3  3/4

Decimal- 3.75

Step-by-step explanation:

use K.C.F (Keep Change Flip)

Mac has 1/4 hour left of track practice and must be completed 8 laps around the track before he leaves which equation can be used to find how long has to complete each lap if mac runs at a constant pace?
A. X= 1/4 ÷ 8
B. X= 1/8 ÷ 1/8
C. X= 1/4 ÷ 1/8
D. X= 8 ÷ 1/4

Answers

Answer:

(a) [tex]Unit = \frac{1}{4}/8[/tex]

Step-by-step explanation:

Given

[tex]Time = \frac{1}{4}[/tex]

[tex]Lap = 8[/tex]

Required

Determine the time in each lap

The unit time in each lap is calculated by dividing the total time by the number of laps; i.e.;

[tex]Unit = \frac{Time}{Lap}[/tex]

Substitute values for Time and Lap

[tex]Unit = \frac{1}{4}/8[/tex]

A local restaurant offers pizza with a choice of toppings from this list: cheese, sausage, pepperoni, mushroom, green peppers, hot peppers, ham, pineapple, and anchovies. How many different 4-toppings pizzas can be made with these toppings?

Answers

Answer:

126

Step-by-step explanation:

The number of different 4-toppings pizzas can be made with given toppings is 70.

There are 8 different toppings of pizza are given.

What is a combination?

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.

Here, n=8 and r=4

Now, 8C4

= [tex]\frac{8!}{4!(8-4)!} =\frac{8\times7\times6\times5\times4!}{(4\times3\times2\times1)4!}[/tex]

= (8×7×6×5)/(4×3×2×1)

= 7×2×5

= 70

Therefore, the number of different 4-toppings pizzas can be made with given toppings is 70.

To learn more about the permutation and combination visit:

https://brainly.com/question/28065038.

#SPJ5

find the difference 4 1/3 - 2 2/3

Answers

Answer:

1 2/3

Step-by-step explanation:

convert to improper fraction:

13/3 - 8/3

then solve:

13/3 - 8/3 = 5/3

convert back to a mixed number (unless your not supposed to, if that is the case then "5/3" is your answer):

"1 2/3" is "5/3" as a mixed number.

so your answer (as a mixed number) is:

"1 2/3"

Write an expression in the simplest form that represents the perimeter of the following shape

Answers

Perimeter is adding all 4 sides together:

8 + 8 + 9x + 9x

Simplify by coming like terms to get:

18x + 16

The answer is d. 18x + 16

Evaluate the function rule below when x=-2

F(x)=1/4x

Answers

Answer:

= -1/2

Step-by-step explanation:

F=1/4(-2)

F=-1/4(2)

F=-1(2)/4

F=-2/4

F= -1/2

HELP I’m being timed!!!

Answers

The answer is 54.

Volume is height times width times length. Since a cube has equal sides, you do 3 times 3 times 3. You get 27. Since there are two cubes you do 37 times 2 and get 54.

What is the total cost for x months?

Answers

is there a picture i can see so i can answer the question?

plzz help plz and thank youu god bless

Answers

Answer:

40?

Step-by-step explanation:

The formula for calculating the circumference of a circle is 2*pi*r. Because pi does not have an end, we'll use 3.14, since that is the approximate value of pi.

2*6*3.14 = 37.68

The outer rim of the pool is about 37.68 meters long.

I guess 40 since its the closest

If the point (-5, -4) is reflected across the x-axis, what are the coordinates of the new point?

Answers

Answer:

(-5, 4)

Step-by-step explanation:

Recall that in a reflection across the x-axis the x coordinate stays the same, while the y coordinate flips its sign.

Therefore

(-5, -4)  converts under reflection into (-5, 4)

What simple interest rate is needed for $1,000 to grow to $1,071.25 in 9 months? (Round to the nearest tenth of a percent, if necessary)

Answers

Answer:

9.6%

Step-by-step explanation:

What is the value of the constant in the equation that relates the height and
width of this rectangle?
(10,25)

Answers

Answer:

B

Step-by-step explanation:

25/10=2.5

Answer:

2.5

Step-by-step explanation:

At a party, the punch bowl is hemispherical, with 2 foot radius and open at the top. The fruit punch weighs 66 pounds per cubic foot. At the beginning of the party the bowl is full to the brim. The rules for serving punch require each person to fill the ladle, raise it exactly 1 foot above the top of the owl (without spilling!), and then pour the punch into a cup at that level. After 10 minutes, 30 people have filled 30 cups, and the punch remaining in the bowl is 4 inches deep. Draw a picture of the situation, and then set up the integral for the work W involved in raising the punch until the punch remaining in the bowl has a depth of only 4 inches. Include all pertinent information in the integral, but do not evaluate the integral.

Answers

Answer:

W = ∫ [−2/3 to 0] 66π (2−y)(1−y²) dy = 2332π/27

Step-by-step explanation:

Vertical cross-section of bowl is a semi-circle of radius 1, centered at (0,0)

x² + y² = 1 (for y ≤ 0)

Bottom of bowl is at y = −1

Top of bowl is at y = 0

When punch is 4 inches deep, this 1/3 ft above bottom of bowl:

y = −1+1/3 = −2/3

So we integrate from y = −2/3 to y = 0

Radius of cross section at height of y is = x = √(1−y²)

Area of cross section at height y is πr²= πx² = π(1−y²)

Since each person is to lift ladle 2 feet above the top of the bowl, then distance = 2−y

W = Σ (density of punch * distance * volume of punch)

W = ∫ [−2/3 to 0] 66 * (2−y) * πr² dy

W = ∫ [−2/3 to 0] 66π (2−y)(1−y²) dy = 2332π/27

State a, b, and the y-intercept then graph the function and describe the end behavior of the grpahs

Answers

9514 1404 393

Answer:

  9.  a = 3, b = 3, y-intercept = 3

  10.  a = 5, b = 0.6, y-intercept = 5

Step-by-step explanation:

The picture is fuzzy, but we think the given equations are ...

  [tex]\text{9. }f(x)=3(3)^x\\ \text{10. }f(x)=5(0.6)^x[/tex]

You are comparing these to the form ...

  [tex]f(x) = a(b)^x[/tex]

so the values of 'a' and 'b' should be readily identifiable. The y-intercept in each case is y = a.

The end behavior depends on whether b > 1 or not. Growth functions (b>1) go to 0 on the left and ∞ on the right. Decay functions (b<1) are the reverse.

__

9. a = 3, b = 3, y-intercept = 3

The end behaviors are (x, f(x)) ⇒ (-∞, 0), (∞, ∞).

__

10. a = 5, b = 0.6, y-intercept = 5

The end behaviors are (x, f(x)) ⇒ (-∞, ∞), (∞, 0).

Find each percent. 5 is what percent of 15?

Answers

Answer:

0.75

Step-by-step explanation:

this is what popped up in my calculator so i hope this helps you. :)

-7z-2=12.
can u please show the work also

Answers

Answer:

z = -2

Step-by-step explanation:

-7z -2 = 12

-7z = 14 (add 2 on both sides)

z = -2 (divide -7 on boths sides)

z = -2

-7z = 12 + 2

-7z = 14

z = -14/7

z = -2

Which of the following could be the lengths of the sides for a triangle that is similar to the triangle shown? ​

Answers

Step-by-step explanation: {KILLA KWEEN} DAISAN NO BAKUDAN--/|BITES ZA DUSTO|\

Catherine and Joseph together bought a video game for $16.40. Joseph contributed $7.80.
Approximately what percent of the total cost did Catherine contribute? * DS
(1 Point)
How do you get the answer

Answers

Answer:

16.40-7.80= 8.608.60/16.40×100= 52.43%

Answer: 52.4 percent

Step-by-step explanation: So you'd want to subtract 7.80 from 16.40 to get 8.60. Then you'd multiply that by 100 which would give you 860. After you've done that you want to divide 860 by 16.40.

Identify the coordinates for point D​

Answers

Answer:

Your Picture is just of -3????

Step-by-step explanation:

4. Find the value of x. 140° 150° 130° to Da) 110 b) 90 O c) 130 O d) 120​

Answers

Answer:

D

Step-by-step explanation:

The sum of angles of an hexagon is [tex]4\cdot 180[/tex]°.

Find the 6th term in the sequence of
11,33,99,297...

Answers

Answer:

[tex]2673[/tex]

Step-by-step explanation:

In order to find the answer to this question you must find the rule and then keep applying that rule in till you get to the 6th term of the sequence.

[tex]11,33,99,297[/tex]

[tex]R=\times3[/tex]

[tex]297\times3=891[/tex]

[tex]891\times3=2673[/tex]

[tex]=2673[/tex]

Hope this helps.

1.
What is the measure of

2.
What is the measure of

3.
What is the measure of

Answers

Answer:

What is the Measure if what?

Step-by-step explanation:

GKW = 39°

PKG = 61°

PKW = 90°

PKF = 90°

FKM = 39°

PKM = 129°

WKF = 180°

WKM = 219°

Answer:

1.W&M=141 degerees

2.M&F=39 degerees

3.F&G=141 degerees

Step-by-step explanation:

1= if g&w were 39 degerees to search w&m

= 180-39=141degerees

w&m=141 degerees

2=the same with g&w

3= the same with w&m

. sells t-shirts for $2 and shorts for $4 in April the total sales were 600.00 people bought four times as many t-shirts as shorts how many t-shirts and shorts did they sell?​

Answers

Answer:

200 t-shirts and 50 shorts

Step-by-step explanation:

t= t-shirts

s = shorts

600 = 2t + 4s

t = 4s

600 = 2(4s) + 4s

600 = 8s + 4s    ––––> 600 = 12s

s = 50

t = 4(50) –––––> t = 200

check:

600 = 2(200) + 4(50)

600 = 400 + 200

600 = 600

Find the value of x in this triangle​

Answers

so in a triangle all the angles add up to 180. sooo x+x+2x=180 which is the same as 4x=180. so divide the 4 on both sides to get x and x=45


anyone very good in math and wanna helpppp me?

Answers

the slope is 5/3 (five over three)

Fei Yen bought a 28-pound bag of dog food. How many ounces are in a 28-pound bag of dog food?

Answers

Answer:

448 oz.

Step-by-step explanation:

28x16 = 448

Answer:

448 ounces

Step-by-step explanation:

1 pound = 16 ounces

16x28=448

Jon had 45 dollars in his account. He made 7 dollars
per hour at his job. At the end of the week he had 150
dollars in his account. How many hours did he work?

Answers

First, 150-45 because we already know he had 45 dollars so we are left with 105$ so next you do 105$ divided by 7$ which gives you 15 hours. The answer is 15 hrs :)

A recipe uses 1 1/4 cups of milk to make 10 servings if the same amount of milk is used for each serving how many servings can be made using 1 gallon of milk?



I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION PLEASE HELP

Answers

Answer:

128 servings

Step-by-step explanation:

5/4 cups of milk for 10 servings is equal to 1/8 cup per 1 serving

there are 16 cups in a gallon

let 'n' = # servings in a gallon

so 1/8 : 1 is 16 : n

1/8n = 16

n = 16(8)

n = 128


64 is 128% of what number?

Answers

Answer:

64 is 128% of 50

Step-by-step explanation:

The answer is 50!

I used a calculator.

1. 0.5.

2. 50

3. 81.92

4. 2

Other Questions
When we talk about soil depletion, which soil horizon is affected? PLs HELP ME LIKE ASAP How do the light rays emitted by a candle travel? Does anyone know where to find the MYA US History 2020-2021 answers Solve: 4 - 2 x 8 + (6 x 2) x 4 + 3^2 A hawk eats a mouse. This kills the mouse, but it also means that the remaining mice will not have to compete as much for food with each other. Based on this information, what is the relationship between the hawk and the mouse? A. The two organisms are in a mutualistic relationship. B. The two organisms are in a predator-prey relationship. C. The two organisms are in a parasitic relationship. D. The two organisms are in a competitive relationship. Solve the equation 6x = 72 for x. x= Select the correct answer.Which verb form correctly completes this conversation?Carolina: Sabes que un autor muy famoso va a venir a nuestra ciudad?Diego: Quin te lo ?OA.dijimosOB.dijisteO C. dijeOD.dijoResetNexh start at 4. Create a pattern that adds 3 and subtracts 1 from the number to create the next number, Stop when you 5 numbers. Where is the sugar-phosphate backbone located in the DNA double helix? What is fair trade? (In global business) A dump truck pours sand into a container in the shape of a rectangular prism with a square base of length 2 feet. The height, h, of the sand in the container increases at a rate of approximately 8 inches per minute. Create an equation that models the volume, V, of the sand in the container in terms of h, then use the equation to determine the time at which the volume is 64 cubic feet. Note that the volume of a rectangular prism is V=lwh, where l, w, and h are the length, width, and height of the prism. Whoever answers I will mark brainlest I really need help please What is the correct answer? Besides your role as a unique person, you play roles in five main areas of your life. Name these areas. Which of the following file formats allows you to share and save documents without a designated application? . HTM B. PDF C. JPG D. MP3 PLLEASEE HEELLPP!!I will please want you to copy and past this link to a Newseala article and please tell me the answers of the quiz.https://newsela.com/read/lib-how-to-amend-constitution/id/55582/quiz/51051/question/1/?assignment=2004555431%3Fcollection_id%3D339&collection=339 Which are corresponding angles what is the equation to this pattern Find the measure of the missing angle.