Which statement is true concerning the vertex and axis of symmetry of h(x)=−2x2+8x?

The vertex is at (0, 0) and the axis of symmetry is x = 2.
The vertex is at (0, 0) and the axis of symmetry is y= 2.
The vertex is at (2, 8) and the axis of symmetry is x = 2.
The vertex is at (2, 2) and the axis of symmetry is y = 2.

Answers

Answer 1

Answer:

C.) The vertex is at (2, 8) and the axis of symmetry is x = 2.

Step-by-step explanation:

I got a 100 on edge

Answer 2

The vertex is at (2,8) and the axis of symmetry is x = 2

What is vertex and axis of symmetry of a curve?

The vertex of a curve is the point where the curve passes its axis of symmetry. While the axis of symmetry is the line that divides the curve into two equal halves.

Analysis:

if y = a[tex]x^{2}[/tex]+bx +c.  then the axis of symmetry occurs at  [tex]\frac{-b}{2a}[/tex] and the vertex occurs at [tex]\frac{-b}{2a}[/tex] and the value of y at [tex]\frac{-b}{2a}[/tex].

comparing the above with the equation h(x) = -2[tex]x^{2}[/tex]+8x

x coordinate for vertex = [tex]\frac{-8}{2 x -2}[/tex]  = 2

y coordinate at x = 2

-2[tex](2)^{2}[/tex] + 8(2) = 8

vertex is at point (2,8)

axis of symmetry is the x coordinate of the vertex which is at x = 2

In conclusion, the axis of symmetry is at x = 2 and vertex at point (2,80 option c

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Related Questions

help i really need help WILL GIVE BRAINLIEST

Answers

Answer:

3 and 4

Step-by-step explanation:

Find (a) the range and (b) the standard deviation of the data set 40,35.45,55,60. Round to the nearest hundredth if necessary.

Answers

Answer:

(a) 25

(b) 9.27

Step-by-step explanation:

Step 1

We have to rearrange the given days set from least to highest

35, 40, 45, 55, 60

(a) the range

Range = The highest number - The least number

= 60 - 35

= 25

(b) the standard deviation of the data set

35, 40, 45, 55, 60.

We find the Mean

Mean = Sum of values/Number of values

= 35+40+45+55+60/5

= 235/5

= 47

We can find the standard deviation now.

The formula =

√(x - Mean)²/n

= √(35 - 47)²+ (40 + 47)² + (45 - 47)² + (55 - 47)² + (60 - 47)²/5

= √144 + 49 + 4 + 64 +169/5

= √430/5

= √86

= 9.273618495

Approximately = 9.27

28) (-5ưyA +9u) + (-5ư v4 - 8u + 8u²v2)+(-8u*v + 8uº4)=

Answers

Answer: good luck

Step-by-step explanation:

A faraway planet is populated by creatures called Jolos. All Jolos are either
green or purple and either one-headed or two-headed.
Balan, who lives on this planet, does a survey and finds that her colony of 500
contains 100 green, one-headed Jolos: 125 purple, two-headed Jolos; and
270 one headed Jolos.

Answers

Answer:

Option B

Step-by-step explanation:

We have to complete the table given in the question,

                         One headed               Two headed                    Total

Green                      100                       230 - 125 = 105        105 + 100 = 205

Purple            270 - 100 = 170                    125                      170 + 125 = 295

Total                         270                      500 - 270 = 230                500

By analyzing the given table,

Number of green Jolos in Balan's colony = Total of one headed green Jolos and Two headed green Jolos

= 205

Therefore, number of green Jolos in Balan's colony are 205.

Option B will be answer.

Answer:

When you put together the whole chart you will see the total is 205.

PL Price of adm Cost per ride Total cost PL Price of ad Cost per ride. I NEED HELLLLPPPPPP ASAPPPPP​

Answers

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n


6th grade math plz help

Answers

Answer:

The question needs more information but you can see that all the numbers in the 1st column are multiplied by 6 to equal the number in column 2

Step-by-step explanation:

3 x6 =18

6 x 6= 36

9 x6= 54

12 x6 =72

3 feet
5 feet
4 feet

Answers

what is the question?

Answer:

Post the question along with this

Please help due today:///

Answers

Answer is 80 because 50 * 12 = 600
Then 600-520= 80

Number 3 please helppppppp 10 points!!!!

Answers

Answer:

A. Scores 90 and 95

Step-by-step explanation:

A. works because the pattern makes sense as it is adding by 5.

B. doesn't work because after 85 becomers80 which doesn't make sense since there is 100 on the end so the pattern for the x-axis is adding up.

C. doesn't work because after 90, it becomes, 100 and after that, there is another 100 and the pattern makes no sense.

D. doesn't work because our pattern rule is adding and after the 90 becomes 75 so it is subtracting so it doesn't work.

So our final answer is A.

Answer:

90 and 95

Step-by-step explanation:

look at the dot plot on the very left. it shows two blanks. then in the diagram it shows results of 85, 90, 95, and 100. on the dot plot it has 85 and 100 plotted but is missing 90 and 95.

Choose two things that a rigid motion preserves.

Answers

I know one of them and it’s size. The lengths do not change when performing a rigid motion. And I believe rigid motions also preserves angles. The angles do not change either.

Two things that a rigid motion preserves are: length and angle.

The two things that a rigid motion preserves are:

1. Length: A rigid motion preserves the length of objects. This means that the distances between points or the lengths of line segments remain the same after the rigid motion is applied.

For example, if you have a line segment AB of length 5 units, a rigid motion such as translation, rotation, or reflection will not change the length of AB.

2. Angle: A rigid motion preserves angles between lines or line segments. This means that the measure of an angle remains the same after a rigid motion is applied.

For example, if you have an angle ABC with a measure of 60 degrees, a rigid motion will not change the measure of angle ABC.

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What is 1/2 ( f - 10 ) when f= 16

Answers

1/2(16-10)
1/2(6)
=3 Hhvgfgvccfggfrffdc

PLEASE HELP ME!!!! In each diagram AB is tangent to C at B. Find the value of x.​

Answers

Answer is 9

Step by step explanation
As CB is radius CB=3, CA=3+7=10
X^2=(7+3)^2-3^2=100-9=81
X=9

Please help me, I’m struggling

Answers

Answer:

28[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

[tex]\sqrt{96}[/tex]

= [tex]\sqrt{16(6)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{6}[/tex]

= 4[tex]\sqrt{6}[/tex]

Then

7[tex]\sqrt{96}[/tex]

= 7 × 4[tex]\sqrt{6}[/tex]

= 28[tex]\sqrt{6}[/tex]

Avery signed up for a streaming music service where there's a fixed cost for monthly
membership and a cost per song downloaded. Her total cost is given by the linear
graph below. What is the meaning of the point (1,9.24)?

Answers

Answer:the answer might be C or B

Step-by-step explanation:

The given ordered pair (1,9.24) represents the ordered pair represents the monthly cost of one song. Option C is correct.

Given that,
Avery signed up for a streaming music service where there's a fixed cost for a monthly membership and a cost per song downloaded. Her total cost is given by the linear graph.

What is the graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
According to the question,
9.24 is the total cost marked on the y axis so corresponding to this the value of x is 1 which represents the number of song,
So the given ordered pair describe that the cost of one song per month is $9.24.

Thus, the given ordered pair (1,9.24) represents the ordered pair represents the monthly cost of one song. Option C is correct.

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Which one would result an integer

Answers

Answer:

c is the only one that would result in an integer

Step-by-step explanation:

i hope this helps :)

Option c ∛ 27 would result in an integer.

what are integers?

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.

Given here, ∛27= 3 while the other options ∛60 is not an integer because 60 is not  cubic number similarly for 9 , 18 are not cubic numbers and thus their subsequent cubic roots will not yield an integer.

Hence, Option c ∛ 27 would result in an integer.

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Nick is curious about which cell phone provider is most used by his neighbors. He asks several neighbors about their provider and draws a conclusion based on the answers he received. What kind of statistical study did Nick conduct? A. survey B. experiment C. observational study D. theoretical study

Answers

Answer:

A. Survey

Step-by-step explanation:

Answer:

Option A. Survey

Step-by-step explanation:

What is survey?

Survey is defined as the act of examining a process or questioning a selected sample of individuals to obtain data about a service, product, or process.

Nick collected samples and then concluded his answer which is a survey he conducted.

Correct answer is Option A.

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Maria's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has more than 52 liters. What are the
possible numbers of minutes Maria could add water?
Use t for the number of minutes.
Write your answer as an inequality solved for t.

Answers

Answer:

t < 7

Step-by-step explanation:

52 > 5t + 17

52 - 17 > 5t

35 > 5t

35/5 > t

t < 7

What will be the 50th term in the sequence defined by an = -11 +5(n − 1)?

Answers

Answer:

234

Step-by-step explanation:

Simplify the expression. an=5n-16. Substitute 50 for n. 5(50)-16= 250-16=234

For problems like this, simplifying the equation helps.

Solve 2x2 + x − 4 = 0

Answers

Answer:

x = 0

Step-by-step explanation:

hi there!

im not sure if the x between the 2's is a x as in a variable or if it is multiplication sign. im going to solve the problem as if it is a multiplication sign but if that is wrong then please let me know!

2 * 2 + x - 4 = 0

is our equation that we are working with ^

first step is, following the pemdas we multiply *2 with its self

( ^ parentheses, exponents, multiplication/ division making sure to solve it left to right, addition and subtraction still making sure to follow the left to right rule )

2 * 2 + x - 4 = 0

2 * 2

= 4 + x - 4 + 0

then we add positive 4 and negative 4 together, canceling eachother out the giving us the answer of  x = 0

4 + x - 4 + 0

4 + - 4 = 0

x = 0

i hope this helps you! have a good rest of your day :)

The compound interest on $4,000 saved for 3 years at an interest rate of 15%.

Answers

A = $5,800.00

I = A - P = $1,800.00

hey!

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 15%/100 = 0.15 per year.

Solving our equation:

A = 4000(1 + (0.15 × 3)) = 5800

A = $5,800.00

The total amount accrued, principal plus interest, from simple interest on a principal of $4,000.00 at a rate of 15% per year for 3 years is $5,800.00.

---------------------------------------------

hope i helped in some way..have great day!

Please help! Will give Brainliest! SHOW ALL WORK
Factor by grouping:
3x^(3)-6x^(2)+15x-30

Answers

the answer would be b on scholar

Answer:

3 (x² + 5) (x - 2)

Step-by-step explanation:

3x³- 6x² + 15x - 30

=> 3 (x³ - 2x² + 5x - 10)

=> 3 [x²(x - 2) + 5 (x - 2)]

=> 3 (x² + 5) (x - 2)

can someone help me and explain this?? thanks so much! ​

Answers

Answer:

Step-by-step explanation:

10^7 = 1 and 7 zeros after it.

=> 10000000

Which of the following numbers is not a
rational number?
A. -3
B. 2.7
C. 14
D. 15

Answers

Trick question! All are rational numbers.

..................................................................................

The answer is A. -3 because -3 can NOT be turned into a fraction therefore it is NOT a rational number

Solve for x, y, and z. Enter the integer that is under each radical.

Answers

Answer:

[tex] x=\sqrt{10} [/tex]

[tex] y = \sqrt {14} [/tex]

[tex] z = \sqrt {35} [/tex]

Step-by-step explanation:

By geometric mean theorem:

[tex] x=\sqrt{2\times 5} [/tex]

[tex] x=\sqrt{10} [/tex]

By Pythagoras Theorem:

[tex] y^2 = x^2 + 2^2 [/tex]

[tex] y^2 = (\sqrt{10}) ^2 + 2^2 [/tex]

[tex] y^2 = 10 + 4 [/tex]

[tex] y^2 = 14 [/tex]

[tex] y = \sqrt {14} [/tex]

Again by Pythagoras Theorem:

[tex] z^2 = x^2 + 5^2 [/tex]

[tex] z^2 = (\sqrt{10}) ^2 + 5^2 [/tex]

[tex] z^2 = 10 + 25 [/tex]

[tex] z^2 = 35 [/tex]

[tex] z = \sqrt {35} [/tex]

please helpppp which function h(x) results when g(x) is translated 7pi/8 units right and one unit down????

Answers

Answer:

The second option

Step-by-step explanation:

Help ASAP! Will name brainliest!

Answers

Q 9 the answer is 250

Please help I’m struggling

Answers

The answer is 16 because you plug 2 in for x.

TILAPIA FISH!!!!!!!!!

Answers

Answer:

yes.

................................

You need help with anything??

Please help and thanks

Answers

a right angle so 90 degrees

Someone help me please! With 3 and 4

Answers

22h=22
So h=1
This answer is the only mistake in the equation
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