Which quadratic function in vertex form has a vertex at (-2, 6) and passes through the point (-4, 8)?



A. y = 1/2 ( x - 2 ) ^2 + 6

B. y = -1/2 ( x - 2 ) ^2 - 6

C. y = -1/2 ( x - 2 ) ^2 + 6

D. y = 1/2 ( x + 2 ) ^2 + 6

Answers

Answer 1

Answer:

y = -1/2(x + 4)² + 2 or y = -1/2x²- 4x - 6

Step-by-step explanation:

Given

Vertex = (-4, 2)

The graph passes through the point (-8, -6)

The function in vertex form is:

y = a(x + 4)² + 2

Substitute the coordinates of (-8, -6) and find the value of a:

-6 = a(-8 + 4)² + 2

-8 = 16a

a = -1/2

The function is:

y = -1/2(x + 4)² + 2

or in standard form:

y = -1/2(x² + 8x + 16) + 2 = -1/2x²- 4x - 6

Answer 2
D this is because (-2,6) is the vertex and the x-variable in the vertex is always positive and the y-variable stays the same so the answer is D

Related Questions

If the Product is -16 and the Sum is -6, what are the two factors?

Answers

Answer:

11 * 5 = 55

Step-by-step explanation:

The factors are 5 and 11?

May I have some help please?

Answers

[tex]\\ \rm\Rrightarrow m\sqrt{p}+n\sqrt{p}-\sqrt{p}[/tex]

√p is commonTake it side

[tex]\\ \rm\Rrightarrow (m+n-1)\sqrt{p}[/tex]

Option A is correct

Jake spends 30% of his monthly budget on food. He total monthly budget is $2500. How much does he spend on food? *

I really need the answer

Answers

Answer:

$450

Hope This Helps! :D

3.
The area of a circular region is increasing at a rate of 96pi square meters per second. When the area of
the region is 64pi square meters, how fast, in meters per second, is the radius of the region increasing?

Answers

Answer:

32pi

Step-by-step explanation:

A caterer needs to buy 22 pounds of pasta to cater a wedding. At a local store, 8 pounds of pasta cost $12. How much will the caterer pay for the pasta there? work shown please.

Answers

Answer:

1. 8/$12=21/$x then cross multiply.

2. 1/$1.5, we're looking for cost so $1 is more reasonable

3. $31.5

Step-by-step explanation:

12x 21/ 8 = 31.5

Kindly give answer with step by step solution

Answers

Answer:

C. 11/20

Step-by-step explanation:

edededederdedsdew fsD  fgs dtgs edfasr as

The area of the poster is (x^2+2x-15) inches the width is (x-3) inches calculate the dimensions of the poster board when x=14

Answers

Answer:

The poster is 11 inches wide and 19 inches in height.

Step-by-step explanation:

We take the given equation: (x^2+2x-15) and we add in 14 as our x variable:

((14)^2+2(14)-15) the answer we get from that is 209. The area of the poster is 209 square inches. Then we find the width by taking (x-3) in this case x is 14 so the width of the poster is 11. In order to find the height we divide the height by the width and we get 19.

Therefore:

Height= 19 Inches

Width= 11 Inches

Total Area= 209 Square Inches

What type of transformation is the image portraying?

options:

Dilation


Reflection


Rotation


Translation

Answers

Answer:

Reflection

Step-by-step explanation: A reflection is a transformation that acts like a mirror.

Answer:

Reflection

Step-by-step explanation:

Translations are a horizontal and/or vertical movement of a shape. In this case, the points wouldn't match up. A dilation is either growth or reduction, which this pretty obviously is not. A rotation also wouldn't properly match the points up. If we reflect this shape across a line directly in between the two, all the points will match up.

help please I need this by sunday!!!!!

Answers

Answer:

There are infinitely many solutions.

Step-by-step explanation:

So there are three possible scenarios. The is a finite set of solutions, there are infinitely many solutions, or there are no solutions.

We can determine which of these scenarios is possible by analyzing the pair of equations.

Y = (1/4)x - 1

Y = (1/4)(x - 4)

For clarity, I have put parentheses around the fractional component 1/4.

Note, the first equation can be rewritten as such:

Y = (1/4)x - 1

Y = (x/4) - 1

And the second equation can be simplified using the distributive property of multiplication

Y = (1/4)(x - 4)

Y = (1/4)x - (1/4)(4)

Y = (x/4) - (1)

Y = (x/4) - 1

Notice, both equation are actually the same. This means whatever values of x or Y you put in, the two equations will always be equal. This means there are infinitely many solutions because there are an infinite combination of x and Y that solve pair of equations given, which is actually the same equation. In the graph, this is represented as a line on top of the existing line.

Cheers.

PLEASE HELP!!!! I'LL GIVE BRAINIEST PUT STEPS!!! DO NOT USE OTHER SOURCES PLEASE

QUESTION -
Find BD if AB = 25, EB = 40 and BC = 280.

Answers

Answer:

175

Step-by-step explanation:

280/40 =7

25x7 = 175

               another method

40/25= 1.6

280/1.6 = 175

I do not know the answer for this, what is the answer?

Answers

Answer:

B. translation, then reflection.

Step-by-step explanation:

translation means moving the shape without flipping or rotating it.

reflection means flipping it like in a mirror

I need some help, please. : )

25 points. :D

Answers

x=4 and y= -3 Hope it helps

How is the surface area of an open cylinder calculated?.

Answers

Answer:

SA = [tex]2\pi rh[/tex]

Step-by-step explanation:

Surface area of an open cylinder = circumference x height

⇒ SA = [tex]2\pi rh[/tex]

(where r is the radius and h is the height)

PLEASE HELP WITH THISSS!!!

5b+3+9c

5c, 3, 1, or 9

whats the answer?

Answers

Answer:

for better help with this question what exactly are we trying to find?

List all the factors of 16 ​

Answers

Answer:

1,2,4,8,16

Step-by-step explanation:

prime factorization: 2x2x2x2 =16

scored 28 points in his basketball game by shooting only two point and three point shots. He scored a total of 13 baskets
te a system of equations to represent the number of each type of basket Jake scored. Explain your thinking:

Answers

Answer:

Let x represent the number of 2 pointers made.

Let y represent the number of 3 pointers made.

We have to create a system of equations to solve this problem:

Isolate for  in Equation #1:

Substitute the new Equation #1 into Equation #2:

Solve for  :

Distribute the Parenthesis:

Combine like terms:

Add -46 to both sides:

Substitute this value into Equation #1:

Add -7 to both sides:

The Solution Is:

Jake made 16 two-pointers and 7 three-pointers!

I hope this helped!

Step-by-step explanation:

In Frank's toy bin there are 17 red blocks. There are 2 more yellow blocks than red blocks. There are also 12 more blue blocks than red blocks. How many blocks are there in all?

Answers

Answer:

65

Step-by-step explanation:

17 red

19 yellow

29 blue

add them together, = 65

Rewrite each fraction with a denominator of 10.
a
7
- IN
2
3
IN
5

Answers

Answer:

7/2 = 35/10

3/5 = 6/10

Step-by-step explanation:

To get a common denominator of 10, simply multiply the current denominator by any number to equal 10. The first fraction has a denominator of 2. If we divide 10 by 2, we get the answer 5. This means 2 can be multiplied by 5 to get a denominator of 10. However, what we do to the denominator we must also do to the numerator (multiply by 5).

7/2

7 × 5 / 2 × 5

35/10

3/5

3 × 2 / 5 × 2

6/10

brainliest pls

Giana, Kemi, and Matava each have $1.65 in their pockets. They decide to combine the money. How much money do they have altogether?

Answers

Answer:

$4.95

Step-by-step explanation:

If three people have $1.65 each, to find out how much money they have all together, you just multiply $1.65 by 3 (or add $1.65 3 times)


1.65 x 3 = 4.95


So all together, they have $4.95.

I hope this helps!

Answer:

Altogether they have 4.95$

Step-by-step explanation:

Giana, Kemi, and Matava are three people who each have 1.65$. So if they all combine it they will have 3×1.65$ which is =4.95$.

pls hewllllll[p ill give anytthing picture is down

Answers

Answer:

It would be A

Step-by-step explanation:

The other answers do not make sense.

First of all: Area= length x width.

Two of the options were larger than 49.7, so we could cross those out

Then, we look at A and B.  

46.2 x 3.5 = 161.7, which is WAY larger than 49.7.

Since we have no option left to test, we can test A:

14.2 x 3.5= 49.7

Now we cam be sure that the answer is 14.2, or, A.

HOPE THIS HELPED:)

HURRY! 60 POINTS. BRAINLIEST. A THANKS AND 5 STARS IF CORRECT.!! ANSWER THE QUESTION IN THE SCREENSHOT

Answers

Answer:

  (a)  (3x +1)(x +1)

Step-by-step explanation:

The values of the factors are represented by the horizontal and vertical dimensions of the area. In each direction, we have a "blue" dimension, and a "red" dimension.

Horizontally, we have a dimension of (3 × blue + 1 × red).

Vertically, we have a dimension of (1 × blue + 1 × red).

We can assign blue = 1, red = x, and we would have (3 +x)(1 +x). This does not match any answer choices.

We can also assign blue = x, red = 1, and we would have (3x +1)(x +1). This matches the first answer choice.

The product which is represented by the algebra tiles is (a)  (3x +1)(x +1)

What is Algebra?

This refers to the branch of mathematics where letters and symbols are used to represent numbers.

Hence, we can see that from the given image, there are different values which shows the horizontal and vertical dimensions of the area and from the:

First dimension horizontally, we have (3 × blue + 1 × red)Second dimension vertically, we have (1 × blue + 1 × red).

Hence, if we represent the values of blue = 1, red = 1, then it would produce (3x +1)(x +1) and this is the correct answer.

Read more about algebra here:
https://brainly.com/question/19566504

best answer gets brainliest

Answers

Answer:

It's option 'A'

f= 17

Please mark as brainliest

Answer:

A) f=17

Step-by-step explanation:

What is the formula for circumference of a circle given the diameter.

Answers

Answer:

πD

Step-by-step explanation:

where π is 22/7 or 3.142

D is diameter

The steps below show the incomplete solution to find the value of x for the equation 7x 8 − 3x = −6 10: Step 1: 7x 8 − 3x = −6 10 Step 2: 7x 8 − 3x = 4 Step 3: 4x 8 = 4 Which of these is most likely the next step? 4x = 12 4x = 4 4x = −4 4x = −12.

Answers

Answer:

4x = −4

Step-by-step explanation:

Question 2

2(2x − 5 − 4) = 160 − 17

4x-10-8 = 160-17

4x-18=143

4x = 161

x=40.25

Question 3

4(2z + 3) = 12

8z +12 = 12

8z = 0

z = 0

Question 4

5(2x − 6) + 20 = 10

10x-30+20=10

10x-10=10

10x =20

x=2

Question 5

5x + 10 = 5x − 8

5x+18=5x

18=0

Zero solutions

Mrs. Wright spent $52 on new music books. For new piano students, she charges a $4 new-student fee plus $12 per 45-minute session. Drag the solution to the number line to show after how many sessions Mrs. Wright will earn a profit for giving piano lessons to one new student.

Answers

Answer:

it is the third one

Step-by-step explanation:

i just did it.

sry if im late

Answer:

its the 3 one.

Step-by-step explanation:  u can find it in times4learning in the math course.

u may give credit to the top one that answered first :)

whats 1/3 of 1/2? thanks!​

Answers

Answer:

It's 1/6, hope this helps!

50 POINTS!!!! PLEASE HELP WILL GIVE BRAINLIEST!!! :3

Answers

Answer:

The student solved it wrong, and the graph also shows it wrong (you can pick the answer yourself)

Step-by-step explanation:

6(x-0,5) > 3
6x - 3 > 3
6x > 6
x> 1

am I right?? I just need this one and another one!! need it asap! sorry if this is bothering you.​

Answers

Answer:

No

Step-by-step explanation:

The correct answer is y = 3x, where y is the total cost and x is the number of pounds of oranges purchased.

find surface of rectangular prism show work please

Answers

Answer:

so basically you have to multiply all the numbers and divide by 2 and the rest is self explanatory

23. Your house is located at (0, 0). a. To get from your house to school, you walk 2 blocks east and 1 block south. What ordered pair corresponds to the location of your school? b. To get from your house to the mall, you walk 4 blocks west and 3 blocks north. What ordered pair corresponds to the location of the mall? c. Is your school or the mall closer to your home? d. Describe how you would walk from your school to the mall. e. Your friend lives 2 blocks from the mall. Is your friend's house in the same quadrant as the mall? Explain.​

Answers

a) (2, -1)

b) (-4, 3)

c) School is closer

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