The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (-); for example, enter y as x^3. Do
not include "G(x) =" in your answer.

The Graphs Below Have The Same Shape. Complete The Equation Of The Bluegraph. Enter Exponents Using The

Answers

Answer 1

Answer:

The graphs below have the same shape. What is the equation of the blue graph? A. G(x) = (x + 3)^3 B. G(x) = x^3 + 3 C. G(x) = x^3 - 3 D. G(x) = (x - 3)^3

Answer 2

The blue graph is a horizontal shift to the left by 3 units of F(x) = x³.

G(x) = (x + 3)³.

What is translation?

In mathematics, translation is the process of moving an object from one position to another without changing its shape, size, or orientation.

It involves sliding the object in a particular direction by a certain distance.

We have,

From the graph, the blue graph is G(x) = (x + 3)³.

The function f(x) = (x + 3)³ is a transformation of the function f(x) = x³.

Specifically, it is a horizontal shift to the left by 3 units.

To see why,

Let's consider the effect of replacing x with x + 3 in the original function f(x) = x³.

f(x + 3) = (x + 3)³

Notice that f(x + 3) is equal to f(x) translated horizontally to the left by 3 units.

For example, when x = 0, we have:

f(0) = 0³ = 0

f(0 + 3) = 3³ = 27

So the point (0, 0) on the graph of f(x) = x³ is transformed to the point

(-3, 27) on the graph of f(x) = (x + 3)³.

Similarly, we can see that every point on the graph of f(x) = x³ is shifted horizontally to the left by 3 units to obtain the graph of f(x) = (x + 3)³.

Therefore,

The blue graph is G(x) = (x + 3)³.

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Related Questions

In a nationwide survey conducted by a reputable research​ center, a sample of adults in a certain country were asked whether they favor a plan to break up a small collection of​ megabanks, which controlled about ​% of the banking​ industry; ​% of those sampled responded in the affirmative. According to the​ report, "the margin of sampling error is ​/ percentage points with a ​% level of​ confidence." Find and interpret a ​% confidence interval for the percentage of all adults in the country who favor a plan to break up the megabanks.

Answers

Answer:

(42% ; 48%)

We are 99% confident that the percentage of all adults in the country who favor a plan to break up the megabanks is between 42% and 48%

Step-by-step explanation:

The confidence interval is used to estimate the range of values for which the population value may lie at a certain level of confidence.

Given that :

Phat = 45%

Margin of error = ±3%

The confidence interval is defined as :

C. I = Phat ± margin of error

C. I = 45% ± 3%

Lower boundary :

45% - 3% = 42%

Upper boundary :

45% + 3% = 48%

C.I = (42% ; 48%)

We are 99% confident that the percentage of all adults in the country who favor a plan to break up the megabanks is between 42% and 48%

M is the midpoint of HA. The coordinate of His
(3x + 5,3y) and the coordinate of A is (x-1, -y). What is
the coordinate of M?

Answers

H=(3x+5,3y) A=(x-1,-y)

Step-by-step explanation:

ANSWER:(2x+2,y)

Người ta tiến hành bài kiểm tra được thiết kế để đánh giá thái độ đối với bệnh nhân đang
hấp hối trên 60 sinh viên y năm nhất, kết quả tính được điểm trung bình của mẫu là 73,8 và độ
lệch chuẩn mẫu là 8,3. Với mức ý nghĩa 5%, số liệu trên có đủ mạnh để cho rằng điểm trung bình
bài đánh giá thái độ của sinh viên y năm nhất là trên 70 hay không?

Answers

Answer:

cannot understand the language man

but please follow

__ (5 + 4) = 2 * 5 + 2 * 4

PLEASE EXPLAIN HOW YOU GOT THE ANSWER

Answers

Answer:

x = 2

Step-by-step explanation:

→ Simplify

x × ( 9 ) = 10 + 8

→ Further simplify

9x = 18

→ Divide both sides by 9

x = 2

10. What is the multiple zero and multiplicity of f(x) = (x - 3)(x - 3)(x + 5)?
Multiple zero is -3; multiplicity is 2
Multiple zero is 5; multiplicity is 1
Multiple zero is -5; multiplicity is 1
Multiple zero is 3; multiplicity is 2

Answers

Answer:

D. Multiple zero is 3; multiplicity is 2

Step-by-step explanation:

f(x) = (x-3)(x-3)(x+5)

0 = (x-3)(x-3)(x+5)

x = -5,3,3

notice 3 shows up twice.  That would be your answer...So D.

Answer:

Multiple zero is 3; multiplicity is 2

Step-by-step explanation:

f(x) = (x - 3)(x - 3)(x + 5)

Rewriting

f(x) = (x - 3)^2(x + 5)

Setting equal to zero

0 =  (x - 3)^2(x + 5)

Using the zero product property

(x-3)^2  = 0   x+5 = 0

x-3 = 0         x= -5

x=3             x-5

Since x-3 was squared, the multiplicity is 2

please help! x^3 +y^3=9

Answers

Step-by-step explanation:

Taking the derivative of both sides with respect to x, we get

[tex]\dfrac{d}{dx}(x^3 + y^3) = \dfrac{d}{dx}(3)[/tex]

[tex]\Rightarrow 3x^2 + 3y^2\dfrac{dy}{dx} = 0[/tex]

Solving for [tex]\frac{dy}{dx}[/tex], we get

[tex]\dfrac{dy}{dx} = -\dfrac{3x^2}{3y^2} = -\dfrac{x^2}{y^2}[/tex]

The chi-square test statistic is χ2 = 18.68 and the P-value is between 0.0025 and 0.005. What conclusion should the researcher make? Use α = 0.05.

Answers

We don't know what the exact p-value is, but we are told that it's as large as 0.005 which is smaller than alpha = 0.05

Since the p-value is smaller than alpha, this means we reject the null hypothesis.

The way you can remember this is "if the p-value is low, then the null must go". By "low", I mean "smaller than alpha".

Recall that the p-value is the probability of observing that specific test statistic, or larger. So the chances of chi-squared being 18.68 or larger is a probability between 0.0025 and 0.005; there's a very small chance of this happening. The p-value is based entirely on the assumption that the null is correct. But if the null is correct, then the chances of landing on this are very small. We have a contradiction that basically leads to us concluding the null must not be the case. It's not 100% guaranteed of course, but it's fairly strong evidence.

In short, the p-value being smaller than alpha = 0.05 means we reject the null.

In order to accept the null, the p-value must be 0.05 or larger.

Which expression is equivalent to 15 n=10 (n+3/n)?

Answers

Answer:

±√6

Step-by-step explanation:

[tex]15n=10(n+\frac{3}{n} )[/tex] is your expression first muiltiply out the 10 to get 15n= 10n+10 3/n next subtract  10 n from both sides to get 5n=10+3/n multiply both sides by n to get 5n^2=13 combine both sides and use the quadratic equation to solve to get your solution of ±√6

Will give brainliest answer

Answers

Answer:

14 hours

Step-by-step explanation:

Take any two consecutive high tides and to find their x coordinatey and sub them..

A physician orders Diflucan oral suspension 200 mg now followed by 100 mg daily for a total of two weeks. How many 35 mL bottles of Diflucan 10 mg/ml suspension are needed to fill this prescription?

Answers

Answer:

Step-by-step explanation:

Total amount = 200 mg + (13 days)×(180 mg)/day = 2620 mg

One 35 mL bottle contains (35 mL)×(10 mg)/mL) = 350 mg of medication.

(2620 mg)×(1 bottle)/(350 mg) ≈ 7.5 bottles

8 bottles are needed.

Thank you for all the help guys

Answers

Answer:

a is the right answer thanks

Use the substitution method to solve this system.
y = 2x+4
3x+y = 9

Answers

Answer:

x = 1; y=6

Step-by-step explanation:

y = 2x +4

3x + y = 9

Substitute 2x+4 for y in 3x+y = 9

3x + y = 9

3x + 2x+4 = 9

5x + 4 = 9

5x = 9-4

5x = 5

5x/5 = 5/5

x = 1

Substitute 1 for  x in y = 2x +4

2(1) + 4

2 + 4

= 6

Answered by Gauthmath

Answer:

x = 1, y = 6

Point: (1, 6)

Step-by-step explanation:

y = 2x + 4

3x + y = 9

Since it’s saying that y = 2x + 4, substitute y for y = 2x + 4 in the second equation.

3x + 2x + 4 = 9

Add 3x + 2x (combining like terms)

5x + 4 = 9

Subtract 4 from 9

5x = 5

Solve for x

x = 1

Use x in the first equation.

y = 2x + 4

y = 2(1) + 4

y = 2 + 4

y = 6

Therefore x = 1 and y = 6
•••••••••••••••••••••••••••••••••••••••••••••••••
Check if the work is correct!

y = 6

x = 1

6 = 2(1) + 4

6 = 2 + 4

6 = 6


3(1) + (6) = 9

3 + 6 = 9

9 = 9

A board that measures 3/4 feet long is cut into 6 equal pieces . What is the length of each price

Answers

Step-by-step explanation:

8 cm² is the correct answer for that question

Given:

Board Length = 3/4

6 equal pieces = 3/4 ÷6

= 3/4 × 1/6

= 1/4 × 1/2

= 1/8

Therefore each equal piece will be 1/8 feet long

Answered by GauthMath if you like please click thanks and comment thanks too.

Hi. I need help with part b thank you so much if you can do so

Answers

9514 1404 393

Answer:

  Yes, that distance is the hypotenuse of a right triangle whose sides are known

Step-by-step explanation:

The diagram seems to show the path of the ball as being two segments that are at right angles to each other. Then the direct-line distance to the hole from the tee is the hypotenuse (part A) of the triangle.

Since the leg lengths are known, the Pythagorean theorem can be used (part B) to find the length of the hypotenuse. (The answer to Part B is also the answer to Part C.)

which is the graph of the function fx=x^2+2x+3​

Answers

Answer:

see below

Step-by-step explanation:

fx=x^2+2x+3​

This is a parabola that opens upward

f(x) = (x^2 +2x)+3

     = (x^2+2x+1) +3-1

   = (x+1)^2 +2

This is in vertex form  y =a(x-h)^2 +h where the vertex is (h,k)

This has a vertex as (-1,2)

And has a y intercept at (0,3)

this does not cross the x axis

I’m confused of how to do this

Answers

Answer:

y≤0

Step-by-step explanation:

The line is 0 for all x so y must be the one being manipulated

Because the line is solid and shaded on the negative side, y must be less than or equal to 0

What type of polynomial is: sqrt 7x^4 - x^3

Answers

Answer:

Quartic cause highest degree is 4

The effective gross income from an office building property is $73,500 and the annual operating expenses total $52,300. If the owner expects to receive an 11% return on his investment, what is the value of the property?

Answers

Answer:

It’s b. $192,727

Step-by-step explanation

i hope this help

can I get brainly

how do i convert 134five to base ten

Answers

Answer:

44

Step-by-step explanation:

1×5² + 3×5¹ +4×5⁰

25+15+4

44

I need help ASAP thank you

Answers

Answer:

√9 × √6

√54

√27 × √2

Step-by-step explanation:

We can obtain the answer to the question given above as illustrated below:

3√6

Recall

a√b = √(a×a×b)

Thus,

3√6 = √(3×3×6)

3√6 = √(9 × 6)

Recall

√(a × b) = √a × √b

√(9 × 6) = √9 × √6

Therefore,

3√6 = √9 × √6

Recall

√9 × √6 = √(9 × 6)

√9 × √6 = √54

Thus,

3√6 = √54

Recall

√54 = √(27 × 2)

√54 = √27 × √2

Therefore,

3√6 = √27 × √2

Therefore,

3√6 = √9 × √6 = √54 = √27 × √2

Find f(-2) if f(x) =x^4 +2x^2-1

Answers

Answer:

Plug -2 in for x of f(x)

--> -2^4 + 2(-2)^2 - 1

---> 23

f(-2) = 23

rewrite 7/10 and negative 2/5

Answers

0.7 and -0.4 is you wanted them as decimals

A grocery store sells apples in bags. Each bag weighs 3/5 of a pound. Alberto's mother buys 6 pounds of apples to make applesauce. How many bags of apples does she buy?​

Answers

Answer:

10

Step-by-step explanation:

these are small bags (just as comment), so in real life the cost of using bags would add significantly to the price of the apples.

anyway, so we need to find how many units of 3/5 pounds do we need to get 6 pounds ?

3/5 × x = 6

3 × x = 30

x = 10

she buys 10 bags to get 6 pounds.

beverly found a magic bean if she puts it in the soil every single day it will grow 4 cm after how many days will it grow 14.56 meters tall?

Answers

Answer:

It will take 364 days

Step-by-step explanation:

First, convert:

1 meter = 100 cm

14.56 meters = 1456 cm

1456 cm is how tall it is at the end, to find out how many days it takes to grow, divide 1456 by 4 (how much it grows every day).

1456/4 = 364 days

The number of days to grow by 14.56 meters is 364 days.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The number of days to grow is 14.56 meters will be calculated as:-

1 meter = 100 cm

14.56 meters = 1456 cm

1456 cm is how tall it is at the end, to find out how many days it takes to grow, divide 1456 by 4 (how much it grows every day).

1456/4 = 364 days

Therefore, the number of days will be 364.

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V= pi r2h rectangular prism cylinder cone sphere

Answers

Answer:

Step-by-step explanation:

rectangular prism=lwh

cylinder=πr²h

cone=1/3 πr²h

sphere=4/3 πr³

What are the common factors of 24 and 60

Answers

2 and 3 are the common factor of 24 and 60

What is 24/9 in simplest form

Answers

Answer:

2 2/3

Step-by-step explanation:

hope this helps :)

don't be afraid to ask questions

The answer to this question is 2 and 2/3

sketch the graph of the equation: y=x, y=-x,

Answers

Answer:

purple line is -x and green line is x

hope that answers your question

used desmos to graph, its pretty cool!!!

Write the sum using summation notation, assuming the suggested pattern continues.

2, -10, 50, -250, +…

Is this sequence arithmetic or geometric? How do you know?

Answers

Answer:

Step-by-step explanation:

It's geometric. The nth term differs by -5 when compared to the n+1 term.

Sum 0 to n a(-5)^n-1 where a = 2

I think this is what you want, but there is also a formula. See below.

Sum = a (r^n - 1)/(r - 1)

Professor Iron always gives two exams in his communications class. He only uses the lower of the two scores that a student gets on the exams when he calculates the course grade. Put the grade on the first exam on the horizontal axis and the grade on the second exam on the vertical axis. What kind of preference a student should have for these two grades. Group of answer choices Perfect Complements Perfect Substitutes Cobb-Douglas Preference Neutral Preference

Answers

Answer:

Perfect complements

Step-by-step explanation:

Since minimum score of tests is to be considered. It is a case of perfect complements.

Correct option is

Perfect complements

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