Question 2 of 10
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) = ?
f(x) = x2
w
g(x) =
Answers
Answer: it’s c
Step-by-step explanation:
Just took it and it’s correct
The equation of graph of the transformed function is g ( x ) = ( x + 4 )² - 3
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the first function be represented as f ( x )
Now , the value of f ( x ) = x²
Let the second function be g ( x )
Now , the vertex of the function is at A ( -4 , -3 )
When the function is shifted left by 4 units and down by 3 units , we get
g ( x ) = ( x + 4 )² - 3
Hence , the transformed function is g ( x ) = ( x + 4 )² - 3 and the graph is plotted
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Related Questions
Annabella rolls two number cubes, each with sides that are labeled 1 to 6. What is the probability that the first cube shows a one and the second one shows a one?
Answers
I hope this is correct
Find the key features for m [x]=3x^2+13x-30
Answers
Answer:
x1= -6 and x2= 5/3
Step-by-step explanation:
good luck
hiii please help i’ll give brainliest:)
Answers
Robert has x books. Marie has twice as many books as Robert has. Together they have 18 books. Which of the following equations can be used to find the number of books that Robert has? Choose one multiple choice answer
x+2=18
x+x+2=18
x+2x=18
2x=18
Answers
Answer:
the answer: x+2x=18
Step-by-step explanation:
The area of the rectangle below is 18 square units and the length is 3 3/4 .What is the width of the rectangle?
Answers
Answer:4.8
Step-by-step explanation:18/3.75=4.8
can anyone help with this??
Answers
Answer:
y=x+6
Step-by-step explanation:
the co-ordinate points are (-2,4)and (4,10) so y2-y1
x2-x1
10-4 =6
4-2 =6 which will be 1 as the gradient so you will form an equation
y-10 =1 cross multiply the values with one so the answer will be y-10=x-4
x-4
take -10 to the other side it will be y=x-4+10 hence y= x+6
There is a 3 out of 20 chance that you can win a game. How many "wins" would you predict if you played the game 50 times?
Answers
Answer:
7.5
Step-by-step explanation:
The probability of winning = 3 out of 20 ;
P(winning) = 3/20
Predicted Number of winnings if game is played 50 times ;
P(winning) * number of games played
(3 /20) * 50
0.15 * 50
= 7.5
Predicted Number of winnings = 7.5
Answer:7.5
Step-by-step explanation:
first you want to clarify the numbers which is 3 and 20 and your chance is 3/20 which equals 7.5 but round to the nearest whole number so 8,
What is the Radius of a circle with an area of 115
Answers
6.05
Step-by-step explanation:
r=squareroot a/π= square root 115/π = 6.05
The equation g=3r represents how much Trevin makes per hour at his job. What is the unit rate?
Answers
Answer:
Hope It Help
Brainliest please
Answer:
3
Step-by-step explanation:
The unit rate is a rate with 1 in the denominator. The unit rate for this equation would be how much money he makes in one hour. So, to find the unit rate plugin 1 for r and solve for g. One times three (1*3) is equal to 3; therefore, that is the unit rate.
The radius of a cylindrical construction pipe is 2 ft. If the pipe is 17 ft long, what is its volume?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Answers
Answer:
[tex]volume \: = \: \pi \times r {}^{2} \times length(height) \\ = 3.14 \times 2f \times 17ft \\ = 106.76ft {}^{3} [/tex]
Answer:
V = 106.76ft
Step-by-step explanation:
Cylinder Formulas in terms of r and h
Calculate the volume of a cylinder: V = πr2hCalculate the lateral surface area of a cylinder (just the curved outside)**: L = 2πrhCalculate the top and bottom surface area of a cylinder (2 circles): T = B = πr2Total surface area of a closed cylinder is: A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)Help me with these questions
Answers
Answer:
A is the correct Answer
Step-by-step explanation:
hope that helps
Answer:
igual es lo mismo
Step-by-step explanation:
hope that help
Which of the following are equivalent to the expression 9/4(1.75−2 1/4)?
Answers
Answer: -1 1/8 (Decimal: -1.125)
What is the perimiter of a quadrilateral with verticles at (5,2), (10,2), (5,5), and (10,5)
Answers
Answer:
55
Step-by-step explanation:
could someone give me answers for these three? no wrong answer or spam or link
Answers
Answer:
Equation: 2x + 13 = 5x - 20
x = 11
<FDG = 35
Step-by-step explanation:
These are vertical angles so they're equal to each other:
2x + 13 = 5x - 20
2x - 5x = -20 - 13
-3x = -33
x = 11
<FDG:
5x - 20
5(11) - 20
55 - 20
35
help me please!!! no links 10 points
Answers
in persectev i think the answer in bound to be 17/10
Answer:
x=3 y=13
Step-by-step explanation:
now you got x... substitute x value with one of the questions then you get y
-3×3+2y=17
-9+2y=17
2y=17+9
y=26/2
y=13
i hope it's clear this is how elimination method works... this is how i learned.... t☺️❤️
What is the answer :>
Answers
um.. it’s just a black picture. :>
6
There are 20 sweets in a bag.
Seven of them are strawberry.
A sweet is taken at random from the bag.
What is the probability that the sweet taken is not strawberry?
Answers
The probability that a sweet taken at random from the bag is not strawberry would thus be 13/20.
Find the missing side. Round to the nearest tenth.
Answers
Like what that guy said sorry did not mean to disturb
29 thanks and no links or you get reported
Answers
Answer:
$480.11 (C)
Step-by-step explanation:
$575.26 - $95.15 = $480.11
Find the area of the shaded figure
Answers
Answer:
its 56 units square.
Step-by-step explanation:
(count the tiles in the shaded figure, you'll get the area)
please help due todayyy://
Answers
Answer:
B. product graph
Step-by-step explanation:
Hope it helps
CarryOnLearning
Find the volume of the cylinder. Round your answer to the nearest hundredth.
Answers
9514 1404 393
Answer:
1763.01 m³
Step-by-step explanation:
The height of the cylinder will be ...
h = (18 m)sin(60°) = 9√3 m
The volume of the cylinder is ...
V = Bh
where B is the area of the end circle.
B = πr² = π(6 m)² = 36π m²
Then ...
V = (36π m²)(9√3 m) ≈ 1763.01 m³
The volume of the cylinder is about 1763.01 m³.
use the pythagorean theorem to find the unknown side of the right triangle? hii does anyone know the hypotenuse length?
Answers
Answer:
17
Step-by-step explanation:
8^2 + 15^2 = c^2
64 + 225 = c^2
√289 = c
c = 17
Answer:
yes the answer is 17
Step-by-step explanation:
all you have to do for next time is a^2+b^2=C^2
a and b are legs or the lines that are connected to the right angle. the c is the hypotenuse which is always longer than the legs
BRAINLIEST FOR CORRECT ANSWER!
What is the transformation rule for a translation 3 units right?
Answers
Answer:Translation happens when we move the image without changing anything in it. ...
Rotation is when we rotate the image by a certain degree. ...
Reflection is when we flip the image along a line (the mirror line). ...
Dilation is when the size of an image is increased or decreased without changing its shape.
Use the ALEKS calculator to write as a percentage.
5/17
Round your answer to the nearest tenth of a percent.
Answers
Answer:
The answer is 29.4%
Step-by-step explanation:
The given is to be rounded to the nearest tenth percent so
5/17 = 0.294
0.294 * 100 = 29.4% since nearest tenth percent
The required answer is 29.4%
Given fraction is 5/17.
Percentage is a way of expressing a fraction or proportion as a portion of 100. It is a mathematical concept used to represent relative quantities or values in terms of hundredths. The word "percent" is derived from the Latin words "per centum," which mean "per hundred." It is denoted by the symbol "%".
To convert a fraction to a percentage, and multiply the fraction by 100.
Let a and b be the rel numbers. To convert the fraction a/b into percentage by multiply the fraction by 100.
That is , a/b x 100.
And on simplification gives the fractions.
To convert 5/17 to a percentage, we have:
(5/17) x 100 = 29.4117647...
Rounding this to the nearest tenth of a percent, we get:
29.4%
Therefore, when rounded to the nearest tenth of a percent, 5/17 is approximately 29.4%.
Learn more about converting fractions to percentages, click here:
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would -60 be the opposite of 60?
Answers
Answer:
yes,please mark me brainlest
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
A negative number is the opposite of it's positive.
I suck at math
The math problem is below
Answers
Answer:
Brooklyn earns four more dollars than Anna does each hour.
Step-by-step explanation:
So basically in order to get the amount ech of them recieve you would have to divide. So for Anna's since her least given number is 10 hours you would divide how much she earns (256) by how many hours she has been working (10) and you get 25.6
Now for Brooke she is given only one piece of evidence so you would use that she has been working for 26 hours and earns 769.6. So divide her earning by the hour and get 29.6
Subtract each of the answers (29.6-25.6) and you would get 4
Sorry if it doesn't make sense I was trynna rush and give you the answer
Answer:
Brooklyn earns four more dollars than Anna does each hour.
Step-by-step explanation:
help m.e please please
Answers
Answer:
(-3, -4)
Step-by-step explanation:
The solution is where the two lines intersect. Therefore, the x-coordinate is -3, and the y-coordinate is -4.
Another way to solve this would be to set the to equations equal to each other, so 2x+2 = -4. Therefore, 2x = -6, and x = -3. And from the second equation, y = -4.
Your scores on the first 4 tests in Algebra were 85, 80, 90, and 93. What do you need to make on the 5th test to have a 90 average in the class?
Answers
Answer:
you would have to get a 100 on your fifth test
Step-by-step explanation:
because between your first 4 tests, the average is only 87 something but when you add 100 to that, the average turns to 89.6 which when rounded becomes 90.
The measures of the exterior angles of a hexagon are x°x°, 2x°2x°, 5x°5x°, 6x°6x°, 7x°7x°, and 9x°9x°. Solve for x.
Answers
Answer:
x = 12°
Step-by-step explanation:
The measures of the exterior angles of a hexagon are x°, 2x°, 5x°, 6x°, 7x°, and 9x°. Solve for x.
The sum of the exterior angles of a polygon sums up to 360
An hexagon is a 6 - sided polygon
(x + 2x + 5x + 6x + 7x + 9x) = 360
30x = 360
Divide both sides by 30
x = 360 / 30
x = 12
Hence, x = 12°