What is the equation of the quadratic function represented by this graph

What Is The Equation Of The Quadratic Function Represented By This Graph

Answers

Answer 1

Answer:

              f(x) = - x² + 2x + 8or           f(x) = - (x - 1)² + 9   or           f(x) = - (x + 2)(x - 4)

Step-by-step explanation:

f(0) = 8       {y-axis intercept = (0, 8)}

Vertex = (1, 9)

f(x) = a(x - 1)² + 9

8 = a(0-1)² + 9

8 = a + 9

a = -1

f(x) = - (x - 1)² + 9

f(x) = - (x² - 2x + 1) + 9

f(x) = - x² + 2x - 1 + 9

f(x) = - x² + 2x + 8

x₁ = -2  and x₂ = 4, so also:

f(x) = -(x + 2)(x - 4)

Answer 2

Answer:

g(x) = -1 (x + 2)(x − 4)

Step-by-step explanation:

To write the equation of the function in factored form, g(x) = a(x − r1)(x − r2), find the values of r1, r2, and a.

The function has x-intercepts of -2 and 4, so (x − (-2)), or (x + 2), and (x − 4) are factors of the equation.

To find a, look at how the value of y changes for 1 unit to the right of the vertex. The y-value goes down 1 unit for a point 1 unit to the right of the vertex, so a = -1.

The equation of this quadratic function is g(x) = -(x + 2)(x − 4).

Thank me later  ᵇⁱᵗᶜʰᵉˢ


Related Questions

Alan buys 5.3 ounces of sour patch kids candy. After sharing with his friends he returns to buy an additional 6.75 ounces. How many ounces did he buy in all?

Answers

Answer:

Alan buys 12.05 ounces of sour patch kids candy in all.

Step-by-step explanation:

We are given that Alan buys 5.3 ounces of sour patch kids candy. After sharing with his friends he returns to buy an additional 6.75 ounces.

And we have to find the total ounces he buys in all.

As we know that for finding the total quantity or amount, we will use addition for calculating it.

Firstly, Alan buys = 5.3 ounces of sour patch kids candy

Additional ounces of sour patch kids candy Alan buys = 6.75

So, the total ounces of sour patch kids candy he buys in all = 5.3 + 6.75

                                                                                                   = 12.05 ounces

Hence, he buys 12.05 ounces in all.

convert 2.16161616 to a rational number in the form of a/b

Answers

Answer:

[tex]\frac{214}{99}[/tex]

Step-by-step explanation:

We require to create 2 equations with the repeating digits after the decimal point. Then by subtracting them we eliminate the repeating part.

let x = 2.1616.... → (1)) ← multiply both sides by 100

100x = 216.1616..... → (2)

Subtract (1) from (2)

99x = 214 ( divide both sides by 99 )

x = [tex]\frac{214}{99}[/tex]

There are 65 children in a form 1. There are 15 more boys than girls. What is
the ratio of boys to girls, in its simplest form?​

Answers

Answer:

8:5

Step-by-step explanation:

there are 25 girls, and 40 boys, so you find the common factor between them,which is 5 and divide each number by 5.

25/5=5 girls

40/5=8 boys

so the ratio of boys to girls is 8:5

The square of 1 3/4 is

Answers

Answer:

169/16

Step-by-step explanation:

13/4

what is a square at first

a square is the result of multiplying a number by itself

so the square of 13 will be 169

and the square of 4 will be 16

so easy...bingo

Answer: 49/16 or 3 1/16

Explanation:

1 3/4 = 7/4

(7/4)^2 = 7^2/4^2 = 49/16

49/16 = 3 1/16

Which of the following is equivalent to 2x2 + 9x + 9?
(x - 3)(2x - 3)
(x + 3)(2x + 3)
(x - 9)(2x - 1)
(x + 9)(2x + 1)

Answers

Answer:

(x+3)(2x+3)

Step-by-step explanation:

Factor:

2x^2+9x+9

=(2x+3)(x+3)

Answer:

(x + 3)(2x + 3)

Step-by-step explanation:

Sum = 9

Product = 2*9 = 18

Factors = 6 ,3

2x² + 9x + 9 = 2x² + 6x + 3x + 3 * 3

                    = 2x ( x + 3) + 3( x + 3)

                      = (x +3)(2x + 3)                

What is the power
property of exponents?

Answers

Product of powers property tells us that when you multiply powers with the same base you just have to add the exponents.

Which are the coordinates of the x-intercept in the equation −4x+5y=20 ?

Answers

Answer: (-5,0)

Step-by-step explanation:

-4x + 5y = 20   the x intercept is when y is zero so input zero into the equation and solve for x.

-4x + 5(0) = 20

-4x = 20

x = -5  

f(x) =x^2 +4x-60 and g(x) =x-6, find (f•g) (x) and express the result in standard form

Answers

Answer:

[tex](f o g)(x) = f(g(x))\\ = f(x-6)\\ = (x-6)^{2} +4(x-6)-60\\ = x^{2} -12x+36+4x-24-60\\ = x^{2} -8x-48\\ = (x-12)(x+8)[/tex]

Step-by-step explanation:

g) 145
Let's convert each of the following binary numbers into decimal number
a) 11, b) 101, c) 110 d) 1010
e) 1100
f) 10010,
g) 11111, h) 111010, i) 111001, 1 1100101
5. Let's convert each of the following decimal numbers into binary numbers.
a) 7
b) 18
c) 25
d) 72
e) 99
f) 124
h) 216 i) 308
i) 417
6. Let's convert each of the following quinary numbers into decimal numbers.
a) 13.
b) 24, c) 32
e) 203,
f) 340,
g) 1203, h) 2113 i) 1234, i) 4444
7. Let's convert each of the following decimal numbers into quinary numbers.
a) 9
b) 13
c) 27
e) 126
f) 212
h) 670 i) 1126 1 4025
d) 120,
d) 55
g) 512​

Answers

Answer:

To convert binary into decimal, multiply each binary digit with a power of 2 corresponding to its position.

So for example 1010 would be 1·2³ + 0·2² + 1·2¹ + 0·2⁰ = 8+2 = 10 in decimal.

now you can calculate the answers yourself!

To convert decimal into binary, you can use the following approach:

Write down the answer from right to left

A. if your number is odd, write down a 1, if it is even, write a 0

B. divide the number by 2 and round down, ie. discard any decimals (e.g., 7 / 2 = 3)

C. repeat step A until your number is 0.

example:

18 -> write down 0

18/2 = 9 -> write down 1

9/2 = 4 -> write down 0

4/2 = 2 -> write down 0

2/2 = 1 -> write down 1

1/2 = 0 finished

The result is 10010.

Help help help help help

Answers

lets say for the first transformation x=1 and y=2

the transformation results in quadrant 2 (originating in quadrant 1) telling us it was a 90° counter-clockwise turn

for the second transformation we can let x=3 and y=4

transformation 2 results in quadrant 3 (originating in quadrant 1) telling us it was a 180° counter-clockwise turn

HOPE THIS HELPS!!!! :)

<333333333

Which of the following is a like radical to RootIndex 3 StartRoot 6 x squared EndRoot? x (RootIndex 3 StartRoot 6 x EndRoot) 6 (RootIndex 3 StartRoot x squared EndRoot) 4 (RootIndex 3 StartRoot 6 x squared EndRoot) x (RootIndex 3 StartRoot 6 EndRoot)

Answers

Answer:

4 (RootIndex 3 StartRoot 6 x squared EndRoot)  = 4[tex]\sqrt[3]{6x^2}[/tex]

Step-by-step explanation:

Added radical forms to the question for better visibility.

Which of the following is a like radical to RootIndex 3 StartRoot 6 x squared EndRoot = [tex]\sqrt[3]{6x^2}[/tex] ?

x (RootIndex 3 StartRoot 6 x EndRoot) =  x[tex]\sqrt[3]{6x}[/tex] 6 (RootIndex 3 StartRoot x squared EndRoot)  = 6[tex]\sqrt[3]{x^2}[/tex] 4 (RootIndex 3 StartRoot 6 x squared EndRoot)  = 4[tex]\sqrt[3]{6x^2}[/tex] x (RootIndex 3 StartRoot 6 EndRoot) = x[tex]\sqrt[3]{6}[/tex]SolutionLike radicals are radicals that have the same root number and expression under the root.

1)  x[tex]\sqrt[3]{6x}[/tex] = [tex]\sqrt[3]{6x^4}[/tex]

No, incorrect

2) 6[tex]\sqrt[3]{x^2}[/tex] = [tex]\sqrt[3]{6^3x}[/tex]

No, incorrect

3) 4[tex]\sqrt[3]{6x^2}[/tex]

Yes, correct

4) x[tex]\sqrt[3]{6}[/tex] = [tex]\sqrt[3]{6x^3}[/tex]

No, incorrect

Compared with the given radical, we can see from the given choices only 3rd choice is like radical with [tex]\sqrt[3]{6x^2}[/tex]

Answer:

c

Step-by-step explanation:

i just did it


A cubic polynomial can have atmost
---zeros

Answers

Answer:

              3

Step-by-step explanation:

Any polynomial can only have as many zeros as is the highest exponent at x.

A cubic polynomial it's:  ax³+bx²+cx+d. The highest exponent at x is 3 so it is the largest number of its zeros.

Hi pls help if you’re good at trigonometrytysm

Answers

Answer:

a = 80

b = 310

c = 96

Step-by-step explanation:

1)

20 + a + a = 180

2a + 20 = 180

2a = 160

a = 80

2)

180 - 65 - 65 + b = 360

b + 50 = 360

b = 310

3)

52 + c + 32 = 180

c + 84 = 180

c = 96

The answer should be
A= 80
B= 310
C=96
hope I’m right:)) sorry if wrong :((

how do i solve (−7z 4 )(7z)

Answers

Answer:

-49z^5

Step-by-step explanation:

(−7z^ 4 )(7z)

Multiply the numbers together

-7*7 = -49

Add the exponents

z^4 * z = z^4  * z^1 = z^(4+1) = z^5

Put back together

-49z^5

Kyle lives in a state that has 6% sales tax. If c represents the cost of an item and t represents the sales tax on the item, which equation expresses the relationship between these two variables

Answers

Answer:

t = 0.06c

Step-by-step explanation:

Given the following :

Percentage sales tax on items = 6%

Cost of item = c

Amount of sales tax on item = t

Amount of sales tax is the product of the sales tax percentage and the cost of item purchased

Hence, Amount of sales tax;

t = 6% × cost of item (c)

t = 0.06 × c

t = 0.06c

please help :) Kiran explores the growth of a plant in natural light, then repeats the experiment with the same plant type but different colored filters. A. asking a question B. performing an investigation C. collecting data D.providing explanations E. communication results

Answers

Answer:

Its c

Step-by-step explanation:

I answered this same question Heh. Its c because you have to collect the data in order to record the growth of each plant.

Ques 1 : Simplify the following 2*2 42128 33+23 16+3 416 89 * 73 315- 216

Answers

Answer:4,42128,56,19,416,6497,99

Step-by-step explanation:

Kristen has an area of 70 square feel for a flower garden she plants 5 varieties of flowers equally in her garden which ratio shows the square feel per flower type

Answers

Answer:

Each flower type area ratio = 14 ft²

Step-by-step explanation:

Given:

Total area = 70 ft²

Total equal varieties = 5

Find:

Each flower type area ratio

Computation:

There is 5 equal part of land

So,

Ratio = 1:1:1:1:1

Assume each part cover = x

So

Total area = 5x

5x  = 70 ft²

x = 14 ft²

Each flower type area ratio = 14 ft²

Question 2 (10 points)
(01.03 MC)
A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will the plane fly?

Answers

Answer:

4hrs 33mins

Step-by-step explanation:Speed = 11m/min

Total distance=500miles*6=3000miles

Total time= 3000miles/11m/min=273minutes = 4hrs 33mins

4 hrs and 33 minutes

Solve the equation (show work if possible)

Answers

Answer:

-10 is right answer

Step-by-step explanation:

see in attached picture

hope it helped you:)

Answer:

[tex] \frac{r}{2} + 2 = - 3[/tex]

[tex] = ) \frac{r + 4}{2} = - 3[/tex]

[tex] = )r + 4 = - 6[/tex]

[tex] = )r \: = - 6 - 4[/tex]

[tex] = )r \: = - 10[/tex]

30 x + 7 (3 - 4 x) =

Answers

Answer:

I'm a bit rusty. But try 58x +21

Hope I helped you.

Anyone know how to do this?

Answers

Answer:

120, 68, 72, 36, 32, 41, 31 (Left to right, top to bottom)

Step-by-step explanation:

When looking at the tree, we start from left to right. That means the numbers on the left are larger and get smaller as we move to the right. The very first one on the left is 120 since there are 120 in the theater.

We know that 72 are female so we can put that in the lower bubble of the second column. From this information, we can find the # of males.

140-72=68. We can put 68 in the upper bubble of the second row.

We can first finish the male side with ice cream. We know 36 purchased ice cream which goes in the top bubble on the right. Now we subtract to find the remainder. 68-36=32. 32 goes right below 36

Now we go to the female side. 41 bought ice cream. This goes in the one 3rd down on the right. 72-41=31. 31 goes right  below 41

Answer:

There are 120 people (both male and female)

48 male =  36 bought ice cream

                  12 without an ice cream

72 female = 41 bought ice cream

                    31 without ice cream

Hope it helps :>

What do the expression (3³) and (3⁴) have in common?​

Answers

Answer:

Both terms have the same base.

Step-by-step explanation:

While they share the same base, 3, their powers differ (one to the cube, and the other to the quartic).

━━━━━━━☆☆━━━━━━━

▹ Answer

Both of them have the same base.

▹ Step-by-Step Explanation

The exponential quantity differs, but 3³ and 3⁴ both have the same base number of 3.

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Estimate the median number of texts sent per day by this group of middle school students.

Answers

Answer:

33 i think

Step-by-step explanation:

Answer:

49.5 texts

Step-by-step explanation:

The total number of students is

11+21+33+23+12 = 100

The middle is 50

150 is in the middle group

The median will be between 40 -59

The best estimate for the median is to add the 40+59 and divide by 2

(40+59)/2 = 99/2 = 49.5 texts

Write each polynomial in standard form. identify the leading coefficient.

Answers

26. 5x^2+3x-2
The leading coefficient is 5.

28. -5c^2-3c+4
The leading coefficient is -5.

30. t^5+2t+11t-3
The leading coefficient is 1.

How many real number solutions does the quadratic below have? y=2x^2-10x+6

Answers

Answer:

2 real number solutions.

Step-by-step explanation:

You check the value of the discriminant b^2 - 4ac.

Here it = (-10)^2 - 4*2* 6)

= 100 - 48

= 52. (Positive)

This means that it has 2 real number solutions.

If the discriminant = 0 it has one real number solution and if negative it has no real number solutions.

Answer:

i think its 2 real number

Step-by-step explanation:

A 3 L bottle of oil costs $36 and contains 12 cups. Dinesh puts 1 cup of oil, 10 garlic gloves and 1 cup of lemon juice in each batch of hummus recipe that he makes. Dinesh makes 5 batches of hummus. What is the total cost of oil that he uses in the 5 batches of his recipe?

Answers

Answer:

$15

Step-by-step explanation:

Let's start by figuring out how much 1 cup of oil costs.

12 cups of oil is 36$

Let's set up a proportion.

12/36=1/x

Cross Multiply

12x=36

Divide both sides by 12.

x=3

1 cup of oil is $3.

Dinesh makes 5 batches of hummus, and each batch requires 1 cup of oil.

5*1=5

This means he needs 5 cups of oil.

5*3=15

He used $15 worth of oil in the 5 batches of his recipe.

However, since it is impossible to buy 5/12 bottles of oil, he would have needed to spend $36.

help me its my math....​

Answers

If two parallel lines are cut by a transversal,

then alternate interior angles are congruent.

Since one alternate interior angle measures 60 degrees,

the other alternate interior angle must also measure 60 degrees.

equivelnt to 3(4h+2k)

Answers

Answer:

I would assume it would be 12h+6k

Answer:

Step-by-step explanation:

Use distributive property

a(b+c) = a*b + a*c

3(4h + 2k) = 3*4h + 3 *2k

                  = 12h + 6k

how does the value of the 9 in 857.9 differ from the value of 9 in 798.21

Answers

Step-by-step explanation: The 9 in 857.9 differs from the value of 9 in 798.21 because in 857.9, the 9 is in the tenths place, while in 798.21, it is in the tens place.

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