The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has
been changed somewhat. Which of the following could be the equation of
F(x)?
Answers
F(x)= 2(x-2)^2 + 2 is the correct equation of F(x)
A quadratic function is a polynomial function of the second degree. The general form of a quadratic function is this: f (x) = ax^2 + bx + c, where a, b, and c are real numbers and a≠ 0.
Graphs of quadratic functions
The term "parabola" refers to the graph of a quadratic function. A parabola essentially resembles the letter "U," yet it can be inverted or exactly this shape depending on the situation. The leading coefficient determines whether the graph of a quadratic function opens up or down; if it is more than zero, the parabola opens up; if it is less than zero, the parabola opens down.
It is given that graph of F(x), shown below, resembles the graph of G(x) = x^2, but it has been changed somewhat.
We need to find the equation of F(x)
In the figure, parabola opens up, the leading coefficient is greater than zero ,So option (d) is correct
Hence the equation of F(x) is 2(x-2)^2 + 2
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Related Questions
A farmer has a house that sits at the edge of a field, with all sides meeting at right
angles.
The field has the following measurements.
40 m
100 m
The farmer wants to know how much fencing he will need to surround the field.
Calculate the total length of fencing.
Answers
Step-by-step explanation:
total length = l×b therefore 40m×100m=400m
Sorry um but help pleasee
Answers
Answer:
For the first one the answer is the 2nd and 3rd one
Step-by-step explanation:
the 2nd one is the 2nd and 3rd one
make brainliest please
I hope i am rigth
What is 3 3/4 - 2 1/3
Answers
Answer:
1 5/12
Step-by-step explanation:
decimal form, 1.416
Answer:
3 1/4 + 2 1/3 = 67/
12
= 5 7/
12
≅ 5.5833333
Step-by-step explanation:
In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equation h=-16t²+55t+50, where h is the height of the bird t and is the amount of time, in seconds, the bird has been in the air. How long will it take the bird to reach a height of 40 feet in the air for the first time?
Answers
9514 1404 393
Answer:
3.61 seconds
Step-by-step explanation:
The bird starts 50 feet in the air, so will come down to a height of 40 feet after 3.61 seconds.
We want to solve h = 40.
40 = -16t^2 +55t +50
16t^2 -55t -10 = 0
t = (55 +√(55^2 -4(16)(-10)))/(2(16)) = (55 + √3665)/32 ≈ 3.61060
The bird will be 40 ft above the ground the first time after about 3.61 seconds.
Canada was once a British colony. Based on the information presented in the movie, what can you infer about Canada?
Answers
Answer:
In 1763, Canada formally became part of British Empire. The colony of Canada was enlarged under the province of Quebec.
Step-by-step explanation:
Modern day Canadian province was once British Colony. In 1949, Newfoundland became part of Canada instead of British Colony. The information presented in the movie is about the British Empire that governed the Canadians. After the free from British rule Canada was free to act in his own way in the country. The country also gained financial independence.
A loaf of bread costs 3.00 dollars today. The same size loaf cost 20 cents in 1955. what percentage of todays price did someone in 1955 pay for bread?
Answers
Answer:
About 6.7%
Step-by-step explanation:
A piece of machinery was purchased by a factory. It depreciates at 10percent every year. At the end of second year its value is rs 1,29,600.What is the cost price
Answers
Answer:
160000
Step-by-step explanation:
Let the cost price = x
At the end of the first price, it loses ten percent = 0.9x
At the end of the second year, it loses an extra ten = 0.9(0.9x)= 0.81x
0.81x=129600
x=160000
2/3 times 3/4 I need an sender
Answers
Answer:
6/12 but to simplify it would be 1/2
Answer:
[tex]\frac{2}{3} *\frac{3}{4}[/tex] = 1/2
Step-by-step explanation:
2/3 * 3/4
6/12=1/2
determine if JK and LM are parallel, perpendicular,or neither . HELP AND PLS SHOW WORK !!
Answers
Answer:
1) not parallel
2)not parallel
Step-by-step explanation:
fist one intersect already
and second one will eventually intersect
Answer:
1 - Perpendicular.
2 - Neither.
Step-by-step explanation:
Use the slop formula to find the slope of the two sides.
[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]JK = \frac{4-9}{7-1} = \frac{-5}{6}[/tex]
[tex]LM = \frac{1-13}{-2-8} = \frac{-12}{-10} = \frac{6}{5}[/tex]
Perpendicular - because a line that is perpendicular to another must have a slope that is the negative reciprocal of the first line.
[tex]JK = \frac{6-(-5)}{2-13} = \frac{11}{-11} = 1[/tex]
[tex]LM = \frac{-2-(-5)}{-4-(-1)} = \frac{3}{-3} = -1[/tex]
Not Parallel. Nor perpendicular.
What is 25% of 160?
Instructions
100 of 100 words remaining
BUI EEE Tv
b. What is 39 of 2007
Instructions
100 watt
Done and Review
2021
Answers
Answer:
I have no idea what ur saying
Step-by-step explanation:
After substituting, what is the first step when evaluating (4y+9)/7 when Y = 8
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A. Add 4 and 9.
B. Multiply 8 by 4.
C. Divide 9 by 7.
D. Divide 4 by 7.
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Answers
Answer:
B. Multiply 8 by 4 is the answer
A sno-cone machine priced at $139 is on sale for 20% off. The sales tax rate is 6.75%. What is the price of the sno-cone machine after the discount and sales tax?
A.$111.20
B.$118.71
C.$29.68
Answers
Answer:
About $118.70
Step-by-step explanation:
139 x .2 = 27.8
139 - 27.8 = 111.2
111.2 x .0675 = 7.5
111.2 + 7.5 = 118.7
118.7 = $118.70
I don't remember how to do this
Answers
Answer:
b i think?
Step-by-step explanation:
need help with this question
Answers
Answer:
bc=-4
Step-by-step explanation:
4x -1 is -4. because your adding a negative and a positive
Answer:
-4
Step-by-step explanation:
thats the answer
1/4 to 1/2
Find a percent of change, round to the nearest 10th of a percent if necessary.
__% of increase or decrease (ANSWER ASAP)
Answers
Given:
[tex]\dfrac{1}{4}\text{ to }\dfrac{1}{2}[/tex]
To find:
The percent of change, round to the nearest 10th of a percent.
Solution:
We have,
Initial value = [tex]\dfrac{1}{4}[/tex]
New value = [tex]\dfrac{1}{2}[/tex]
We know that, the percentage change is
[tex]\%\text{ change}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100[/tex]
Putting the given values, we get
[tex]\%\text{ change}=\dfrac{\dfrac{1}{2}-\dfrac{1}{4}}{\dfrac{1}{4}}\times 100[/tex]
[tex]\%\text{ change}=\dfrac{\dfrac{2-1}{4}}{\dfrac{1}{4}}\times 100[/tex]
[tex]\%\text{ change}=\dfrac{\dfrac{1}{4}}{\dfrac{1}{4}}\times 100[/tex]
[tex]\%\text{ change}=1\times 100[/tex]
[tex]\%\text{ change}=100\%[/tex]
Here, the % change is positive, it represents the percent increase.
Therefore, the percent of change is 100% of increase.
What is the radius of a circle with the circumference 81.64
Answers
Answer:r≈12.99
Step-by-step explanation:
We can use the formula of the circumference of the circle. Which is given by:
Circumference = 2 \pi r
where "r" represents radius of the circle and , pi = 3.14
Plug the given values
81.64 = 2* 3.14* r
81.64 = 6.28 r
Answer this question and you get brainiest? Also 85 points so answer it correctly and it’s all yours btw i put the picture up so you can answer it . Thanks
Answers
Answer:
114
Step-by-step explanation:
those angles are supplementary meaning that they will add up to 180. 180-66=114 so x=114
What errors did her coach make in the following example
Answers
Answer:
its the last one & the 3rd one.
hope that helps
plsss help if u can 6th grade math
Answers
Answer:
The minimum: 3
The lower Q: 7
The median: 7
The upper Q: 6
Maximum: 11
Step-by-step explanation:
9x -7u > 9x -21u
solve please :)
Answers
Answer:
(-∞,∞) is your answer sorry if it looks like a face
Step-by-step explanation:
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe
Answers
the sum of two consecutive numbers divided by their positive difference difference is equal to nine find the larger number
Answers
Answer:
the number is 5
Step-by-step explanation:
the difference between any two consecutive numbers is just 1.
so, x + x+1 = 9
x = 4
the next number is 5
pls mark brainliest
86, 82, 78, 74 , what is the 40th term
Answers
Answer:
Step-by-step explanation:
its subtracting 4 each time
HELPP PLSSSS Im failing school :(
Answers
Answer:
D.540
if im wrong sorry
Step-by-step explanation:
- (cd2 + 4c + 21)
simplify it?
Answers
Answer: = -cd^2 - 4c - 21
Step-by-step explanation:
It‘s suppose to read negative cd the 2 is squared - 4c - 21
find the value of x
Answers
Answer:
x=32
Step-by-step explanation:
52=whatever angle x+20 is.
For which equation is 3 a solution(I need help)
Answers
Answer:
B
Step-by-step explanation:
I did it on paper
Ten people put 63 boxes on a red truck and 38 boxes on a blue track About how many boxes did they load in all
Answers
Answer:
63+38=101
Step-by-step explanation:
Rewrite as a simplified fraction.
0.6 i need it quick plz and thank you
Answers
Answer:
3/5
Step-by-step explanation:
0.6 = 6/10 = 3/5
Which expressions are equivalent to 56x + 24 divided by 8?
A.7x + 24
B.56x + 24
8
C. 8(24 + 56x)
D.3x + 7
F.3 + 7x
Answers
The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (56x + 24) / 8
Simplify the expression, then we have
⇒ (56x + 24) / 8
⇒ (56/8)x + 24/8
⇒ 7x + 3
The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.
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An expression equivalent to 56x + 24 divided by 8 is 3x+7. So, option F. is correct.
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given the following expression:
56x + 24
It is required to divide the given expression by 8,
Thus, dividing the expression by 8 as follows:
[tex]\dfrac{56x+24}{8}\\\\\dfrac{56x}{8}+\dfrac{24}{8}\\\\7x+3[/tex]
Thus, 3+7x is the expression equivalent to 56x + 24 divided by 8. So, option F is correct.
Learn more about mathematical operation, here:
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