Write the equation of the parabola in vertex form.
vertex(2,1),points (1,-4)
F(x)=?

Answers

Answer 1

Step-by-step explanation:

The general vertex form is given by

[tex]y = a {(x - h)}^{2} + k[/tex]

where (h, k) is the vertex and a is a constant. So we can write the y as

[tex]y = a {(x - 2)}^{2} + 1[/tex]

To find the value of a, substitute the point (1, -4)

-4 = a(1 - 2)^2 + 1

or a = -5

Therefore, the vertex form of the parabola is

[tex]y = - 5 {(x - 2)}^{2} + 1[/tex]


Related Questions

A fish swimming at the same depth as the hook at the end of her fishing line in s 60 feet away

Answers

Answer:

.

Step-by-step explanation:

hi can someone pls help me, I’m confused

Answers

Answer:

(E) 72 w^2 is the answer

Step-by-step explanation:

outer square area is 81 w^2

inner square area is 9 w^2

subtracting outer - inner we can get the shaded area

so 81 -9= 72w^2

Answer:

E. 72w²

Step-by-step explain:

Area I = a × a

= 9w × 9w

= 81w²

Area II = a × a

= 3w × 3w

= 9w²

Shaded area = Area I - area II

= 81w² - 9w²

= 72w²

#CMIIW

What is (8 - 2) - 6?

Answers

Answer:

The answer is Zero

Step-by-step explanation:

So you always do what is in the parentheses first no matter what so in this case you would do 8 - 2 which is 6 then you would do the rest of the equation in order so that means if there were multiplication and division and multiplication came second do division first don't just do the multiplication so any way you got the answer 6 and the next step is to subtract 6 from the answer you just got so now your equation is 6 - 6 which is zero hope this helps plz mark me as brainliest

16. The list below shows the different choices of pizza at
the local pizza shop:
.
.
pepperoni: 11
supreme: 7
cheese: 6
Hawaiian: 3
Based on these results, if 189 pizzas were sold, then how
many could be expected to be cheese?

Answers

Answer:

162

Step-by-step explanation:

189-11=178

178-7=171

171-6=165

165-3=162

ANSWER BOTH!!!
A. An item is regularly priced at $65. Bill bought it at a discount of 20% off the regular price. How much did Bill pay?

B. The wholesale price for a pillow is $4.50. A certain department store marks up the wholesale price by 40%. Find the price of the pillow in the department store.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

A = $52.00B = $6.30

Step-by-step explanation:

A. How much Bill paid AFTER the discount.

Step 1: Convert the discounted percent to decimal

20% = 0.2

Step 2: Multiply the discount to the item regularly priced

0.2(65.00) = 13

So, Bill received a $13 discount, therefore, the amount he paid AFTER his discount is:

Step 3: Subtract the result (the discount Bill received) from the regular price

$65.00 - $13.00= $52.00

Therefore, Bill paid $52.00

B.  The price of the pillow in the department store.

Step 1: Multiply the wholesale price for a pillow by the marked-up the wholesale price

$4.50 × 40% = 1.8

Set up a fraction

[tex]\frac{4.50}{x}=\frac{100\%}{40\%}[/tex]

The reciprocal of both sides gives

[tex]\frac{x}{4.50}=\frac{40}{100}[/tex]

x = 1.8

Step 2: Add the result to the wholesale price for the pillow

4.50 + 1.8 = $6.3

Step 3: Round to the nearest cent

Add a zero behind the result = 6.30

Therefore, the price of the pillow in the department store is $6.30

!!HELP PLEASE NO LINKS!!Select the graph of y = 2 cos (4x) +1

Answers

I think the answer is A

To solve this problem, we simply need to plot the cosine graph.

Graph of Cosine

The graph of cosine can easily be plotted and we can compare both together.

Kindly check the attached image and we can easily see the graph of

[tex]y = 2cos(4x) + 1[/tex]

is option A.

Comparing the asymptotes together, it reveals more information on that.

Learn more on graph of cosine here;

https://brainly.com/question/20700450

#SPJ2

Ashley drew the triangle LMN on the grid below


What is the area of triangle LMN?

Answers

Answer:

B. 27 square units

Step-by-step explanation:

Area of ∆LMN = ½(base*height)

base = MN = 6 units

height = distance from L to MN = 9 units

Plug in the values into the formula

Area of ∆LMN = ½(6*9)

Area = ½(54)

Area = 27 square units

Dominik uses 202020 grams of filling for each dumpling he makes. He has 150015001500 grams of dumpling filling. The grams FFF of filling remaining is a function of ddd, the number of dumplings Dominik makes.

Answers

Answer:

−20d+1500

Step-by-step explanation:

I did it on khan and it was right

50 points! Which expressions are equivalent to (see image)? Select three

Answers

Answer:

Option 4

Step-by-step explanation:

[tex]5( \frac{1}{3} x + 7) - 3( \frac{1}{2} x - 4)[/tex]

[tex] \frac{5}{3} x + 35 - \frac{3}{2} x + 12[/tex]

[tex] \frac{5}{3} x - \frac{3}{2} x + 35 + 12[/tex]

[tex]2 \times 5x - 3 \times 3x \div 3 \times 2 + 47[/tex]

[tex] \frac{10x - 9x}{6} + 47[/tex]

[tex] \frac{x}{6} + 47[/tex]

Answer:

Solution given:

5(⅓x+7)-3(½x-4)

distribute it

[tex] \frac{5}{3} x+35-\frac{3}{2}x+12[/tex]

[tex] \frac{5}{3} x-\frac{3}{2}x+35+12[/tex]

[tex] \frac{5*2-3*3}{3*2} x+47[/tex]

[tex] \frac{1}{6} x+47[/tex] is a required answer.

Help pls I have absolutely no idea how to solve this and I don’t know what the answer is

Answers

Answer:

similar but i dont know which one sorry

Step-by-step explanation:

Use the data to answer the question.
28, 32, 36, 37, 39, 41, 41, 43, 45
What is the median of the data?
OA 37
B. 38
Oc. 39
D
41

Answers

Answer:

c. 39

Step-by-step explanation:

you have to find the middle of this. 39 is the middle.

which statement is true

Answers

C is the true statement :)

Find the area of the composite figure

Answers

Answer:

370mm

Step-by-step explanation:

15mm×30mm=450mm

8mm×10mm

450mm-80mm =370mm

ILL GIVE BRAINLIEST. plsss help asap

Answers

Answer:

first one

Step-by-step explanation:

Answer:

It will be the first answer, Both balls will at the same rate

A bacteria population is growing exponentially with a growth factor of 1/6 each hour. By what growth factor does the population change each half hour? Select all that apply​

Answers

Using exponential function concepts, it is found that the change of the growth factor of the population each half hour is given by:

b. [tex]\sqrt{\frac{1}{6}}[/tex]

e. [tex]\left(\frac{1}{6}\right)^{0.5}[/tex]

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal.

In this problem, the growth factor of 1/6 each hour, hence, [tex]r = \frac{1}{6}[/tex], and:

[tex]A(t) = A(0)(1 + \frac{1}{6})^t[/tex]

For each half-hour, t = 0.5, hence the growth factor is of:

[tex]\left(\frac{1}{6}\right)^{0.5} = \sqrt{\frac{1}{6}}[/tex]

Hence, options b and e are correct.

You can learn more about exponential functions at https://brainly.com/question/25537936

CAN SOMEONE PLEASE HELP ME!!!

Answers

Answer:

area of triangle=1/2×absin theta.

1/2×30×24×0.7426.64cm ²

hope it helps.

stay safe healthy and happy.

Answer:

[tex]area \ when \ 2 \ sides \ and \ angle \ between \ them \ are \ given[/tex]

                                       [tex]= \frac{1}{2}*30*24*sin 40[/tex]

                                       [tex]= 360 * sin40 \\=360 * 0.642787 \\= 231.40cm^{2}[/tex]

Jeremy rounded the weight of his fruit to the nearest whole. He said his bag of apples weighed 4 pounds. What could have been the actual weight of his bag of apples? Group of answer choices

Answers

Answer: 3.5 - 4.4 pounds

Step-by-step explanation:

You included no options so I answered with the range of the answer.

When rounding a number up to the nearest whole number, the number needs to have the first decimal being 0.5 and above all the way to 0.9.

When rounding a number down to the nearest whole number, the number needs to have its first decimal being 0.1 to 0.4 to be rounded down.

For instance, 3.5 to 3.9 would get rounded up to 4 pounds.

4.1 to 4.4 would be rounded down to 4 pounds.

Vincent gathered groups of 1 to 8 people and gave every group the same puzzle to solve. He recorded the number of minutes it took each group to solve the puzzle and plotted the results.

Answers

Answer:

Larger groups tends to take less time to solve the puzzle.

Step-by-step explanation:

It is given that Vincent gathered few groups from 1 to 8 people and he gave them the same puzzle to solve for each group. The graph is provided which show the relationship between the number of groups and the time taken by each group to solve the puzzle.

From the graph, it cam be seen that, the larger groups is more likely to take less amount of time to solve the puzzle as compared to the smaller groups.

Answer:

B

Step-by-step explanation:

Khan Academy says so

An arrangement of objects where the order is important is called a

Answers

Answer: Permutation.

Step-by-step explanation:

What's the area of this 3d shape??​

Answers

Answer:

You need to do 7 time 8 times 2 times 3

What's the Pythagorean Theorem?
If anyone could assist, I would be happy to award you brainliest!

Answers

Answer:

The pythagorean theorem is a^2 + b^2 = c^2

Step-by-step explanation:

Not sure what you're asking! Sorry! :)

A bag contains yellow balls, pink balls and green balls only.
The ratio yellow balls : pink balls : green balls = 7:3:5.
There are 42 yellow balls in the bag.
Work out the total number of balls in the bag.
What’s the answer

Answers

Answer:

90

Step-by-step explanation:

M1 for ( ) 42/7 [x(7+3+5)] soi by 6

=90

Assuming there are only 42 yellow balls in the bag. The total number of balls in the bag is 90 balls.

Total number of balls

Formulate

42×(3+5+7)÷7

Reduce the fraction

42÷7×(3+5+7)

6×(3+5+7)

Hence:

Total number of balls=6×15

Total number of balls=90 balls

Inconclusion the total number of balls in the bag is 90 balls.

Learn more about  total number of balls in the bag here:https://brainly.com/question/281805

- Mr See got $1675 from selling 50 thumb drives and computer keyboards.
Each thumb drive cost $24 and each computer keyboard cost $49.
How many computer keyboards did he sell?​

Answers

9 computer keyboards. the attachment shows how i got the answer.

Answer:

The keyboards are $49 each so he sold 475/49=9.69

this might be wrong if it is blame g o o g l e. laugh out loud

Step-by-step explanation:

I need your love I need your time when everythings wrong you make it right

Question 30
What is the distance between points (-3,5,-7) and (2,-4, 6)?

Answers

Answer:

-5,4

Step-by-step explanation:


Pls hurry , timed test

Answers

Answer:

c

Step-by-step explanation:

Which function has a maximum that is greater than the maximum of the graph g(x)?
O y = (x + 3)2 + 2
y=-5 (x+3)2 + 4
O y=- } (x - 2)2 +3
O
y = (x - 2)2 + 4

Answers

the answer is y=(x-5)^2+3

What is the quotient?

Answers

The answer is 3 1/(t + 4)^2

HELPPPP PLEASE !!!!!!!!!!!!!!

Answers

Answer:

113°

Step-by-step explanation:

triangles add up to 180°

180° - 34° - 33° = 113°

Answer:  113

==============================================

Explanation:

For any triangle, the three interior angles must add to 180 degrees

34+33+x = 180

x+67 = 180

x = 180-67 ... subtract 67 from both sides

x = 113

This triangle is obtuse because the 113 degree angle is larger than 90 degrees. Also, the triangle is scalene because all three angles are different values (consequently, it means all three sides are different from one another).

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

is the fraction 1/8? I can’t see that clearly...

Answer:

B. (2, 1/64)

Hope this helps!

solve the absolute value equation
|x+1|=|2x-6|​

Answers

Answer:

x = 5, and/or x= - 7/3

Step-by-step explanation:

|x+1|=|2x+6|

We know eitherx+1=2x+6orx+1=−(2x+6)

x+1=2x+6(Possibility 1)

x+1−2x=2x+6−2x(Subtract 2x from both sides)

−x+1=6

−x+1−1=6−1 (Subtract 1 from both sides)

−x=5

(Divide both sides by -1)

x=−5

x+1=−(2x+6)(Possibility 2)

x+1=−2x−6(Simplify both sides of the equation)

x+1+2x=−2x−6+2x(Add 2x to both sides)

3x+1=−6

3x+1−1=−6−1(Subtract 1 from both sides)

3x=−7

Divide both sides by 3

x= −7 / 3

Check answers. (Plug them in to make sure they work.)

x=−5(Works in original equation)

x= −7/3

(Works in original equation)

Answer:

x=−5 or x= −7 / 3

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