Determine the cubic function that is obtained from the parent function y = x^3
after each sequence of transformations

Vertical stretch by a factor of 3; vertical translation up 4 units; horizontal translation left 2 units

Answers

Answer 1

Answer:

The answer here depends on whether you want to do them individually or collectively.  If we go individually, then:

The vertical scaling gives us y = 3x³

The vertical translation gives us y = x³ + 4

The horizontal translation gives us y = (x + 2)³

On the other hand, if we want to apply all three at the same time, we get:

starting with a vertical scaling of 3, we get:

start with scaling: y = 3x³

add vertical translation: y = 3x³ + 4

and finally add horizontal translation: y = 3(x + 2)³ + 4


Related Questions

PLEASE HELP
In about how many years is the radioactive substance half of its original weight? Type answer to one decimal place.

Answers

Answer:

13.5

Step-by-step explanation:

(0.95)^x = ½

x = ^0.95 log ½

= 13.5

If the car gets 32 miles per gallon how much does it cost you to drive 30 miles when gasoline cost 2.55

Answers

Answer:

$2.39

Step-by-step explanation:

30/32* 2.55 =  $2.39

The cost to drive 30 miles is $2.39.

Here,

Car gets 32 miles per gallon.

We have to find cost to drive 30 miles when gasoline cost 2.55.

What is Multiplication?

The multiplication of two numbers is called product.

Now,

Car gets 32 miles per gallon.

Cost to drive 30 miles when gasoline cost 2.55 is;

⇒ 30/32* 2.55 =  $2.39

Hence, The cost to drive 30 miles is $2.39.

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the lenght of a room is twice its breadth and thrice its height if the cost of carpeting the floor at rs 80 per sq metre is rs 9000 find the cost of plastering its walls and ceiling at rs 35 per sq metre​

Answers

Answer:

Let's define the variables:

L = length of the room

B = breadth of the room

H = height of the room.

We know that:

L = 2*B

L = 3*H

Remember that the area of a rectangle of length L and breadth B is:

A = L*B

Then the area of the floor of the room is:

A = L*B

and L = 2*B, if we replace that, we get:

A = (2*B)*B

A = 2*B^2

Now, we know that the cost of carpeting the floor is $80 per m^2

And the total cost was $9000

Then the number of square meters in the floor (thus, the area of the floor) is:

A = ($9000)/($80)  m^2

A = 112.5 m^2

With this, we can find the value of B.

A = 112.5 m^2 = 2*B^2

B = √( 112.5/2) m = 7.5 m

Then the length is:

L = 2*B = 2*7.5m = 15m

And the height is:

L = 3*H

H = L/3 = 15m/3 = 5m

Now that we know all the dimensions of the room, we need to find the area of the four walls, and the area of the ceiling (which is equal to the area of the floor 112.5 m^2)

Now, we will have two walls with an area of:

area = breadth*height = B*H = (7.5m)*(5m) = 37.5m^2

And two walls with an area of:

area = length*height = L*H = 75m^2

Then the total area of the four walls plus the ceiling is:

A' = 2*(37.5m^2) + 2*( 75m^2) + 112.5 m^2

A' = 337.5 m^2

And we know that for each m^2, the cost of plastering is $35

Then for 337.5 m^2, the cost will be 337.5 times $35

Cost = (337.5)*$35 = $11,812.50

What is 0.08 written as a percent?
8%
0.8%
0.08%
80%

Answers

8% since you need to multiply by 100 to reach convert it to a percentage

Select the correct answer.
Mike wants to find the confidence interval for a set of data. He knows the sample size and the sample proportion. Which other piece of information does he need to determine the confidence interval?

A.
the number of favorable responses
B.
the critical value
C.
the standard deviation
D.
the standard error of the mean

its A the critical value because I just took the test and got it right

Answers

Answer:

Yeahhhh!! the critical value

Step-by-step explanation:

A rectangular prism has a length of 4 feet, a width of 8 feet and a height of 5 feet. What is the volume of the prism

Answers

160! Sorry if it’s not right

Fareda and Johnny have joined a book club. Fareda has already read 6 books pages and Johnny has already read 8 books. Each month, both students
read another 3 books. Complete the table to show the total number of books each has read after each month. Use the rule "add 3". Choose all the ordered
pairs that represent the number of books Fareda and Johnny have read.
(9,11)
(11.14)
(15,17)
(18,20)
(20,22)

Answers

Answer:

(9,11)

(15,17)

(18,20)

Step-by-step explanation:

9-6=3

11-8=3

18-6=12

20-8=12

15-6=9

17-8=9

3*1=3

3*4=12

3*3=9

LOts of points pls help me

Answers

Answer:

Solution given:

l=12in

b=2.7in

h=9.8in

Volume=l*b*h=12*2.7*9.8=317.52in³

nearest measurement is 324in³

option C.324in³ is a required answer.

Answer:

Question:

Which of the following volume measurements is the best estimate for the figure above? Round each measurement to the nearest whole number to get your estimate.

A. 360 in³

B. 300 in³

C. 324 in³

D. 216 in³

Answer :C. 324 in³

Step-by-step explanation:

We're provided with a Cuboid with L = 12 in ,B = 2.7in & H = 9.8 in where,

L = Length of the cuboidB = Width of the cuboidH = Height of the cuboid

and we're asked to Find the volume of the solid .

To find the volume of the given cuboid , we'll use the formula to find the volume of cuboid

[tex] \huge\fbox\pink{Area}\huge\fbox\green{=} \huge\fbox\blue{L}\huge\fbox\purple{B}\fbox\green{H} [/tex]

Inserting the value of L,B & H in the above formula

12×2.7×9.8

We get

Area↬317.52 in³

Estimating it to the nearest no. ,we get 324 in³

-------☆゚.・。゚ᵴɒƙυᴚᴀ_ƨȶäᴎ❀

What are the x- and y- intercepts of the graph of 9x-3y = 18?

Answers

Step-by-step explanation:

9x - 3y = 18

Solve for y:

1. 3y= 9x + 18

2. y= 3x + 6 (This is the equation you will graph)  

To graph:  

Make a table for y = 3x +6.

If x =0, y=6

If x =1, y=9

If x =-1, y=3

You could get as many points as you like, however you need at least TWO, to be able to draw the line.

Gina types 150 words in 3 minutes. Linda types 80 words in 2 minutes. How much
longer would Linda take to type 8 pages that contain 500 words on each page?​
full working

Answers

Answer:

20 minutes

Step-by-step explanation:

It would take 20 minutes longer for Linda to type 8 pages that contain 500 words on each page.

What is 17 out of 22 as a percentage?

Answers

Answer:

The answer is 77.27%

Step-by-step explanation:

Please mark brainliest!

Enjoy the rest of your day!

Answer:

77.2727.. (repeating)%

or 77 3/11 %

Although im not sure if fractions are accepted in percents, so stick to the first option

Step-by-step explanation:

A percent is simply [tex]\frac{}{100}[/tex]

How many 22's are there in 100? 100/22=4.54 repeating

So 22*4.54 repeating = 100

do the same to both sides of the equation

17 / 22

17*4.54 repeating

77.27272.../100

so 77.27272727... %

What is the area of the figure? Round to the nearest tenth.
3.5 cm
4 cm
A. 14.0 cm
B. 28.0 cm
C. 42.0 cm2
D. 56.0 cm

Answers

Answer:

14.0 cm its a

Step-by-step explanation:

the answer to this would be A

Is 2.605 a rational number

Answers

Answer:

yes 2.605 is a rational number

Find the number of distinguishable permutations of the letters PEPPERONI. NO LINKS!!!!​

Answers

Answer:  30,240

This is is one value (and not two values separated by a comma) and it's slightly over 30 thousand.

========================================================

Explanation:

There are n = 9 letters in the word "PEPPERONI"

If we could tell all the letters apart, there would be 9! = 9*8*7*6*5*4*3*2*1 = 362,880 permutations, and that would be the answer.

However, we have repeated letters that we cannot tell apart. The P shows up a = 3 times, and the E shows up b = 2 times. So we need to divide by a!*b! = 3!*2! = 6*2 = 12 to correct for the overcounting. That leads to the final answer of (362,880)/(12) = 30,240

If the pattern shown continues, how many black keys appear on a pipe organ with a total of 120 keys? Suggestion: use equivalent ratios or a rate table to rationalize your answer.
HURRYYY I NEED HELP

Answers

in 12 key 5 black keys are appearing so consider x key will appear in 120 keys

120/x = 12/5

solving further,

x= 50

Answer - If the pattern shown continues, 50 black keys appear on a pipe organ with a total of 120 keys!

Write the equation in slope-intercept form. -10x+2y=12

-please help

Answers

Answer:

y=5x+6

hope this helps

have a good day :)

Step-by-step explanation:

The slope intercept form for the equation -10x+2y=12 is y= 6+5x

What is slope- intercept form?

The slope intercept form is a method used to determine the equation of a straight line in the coordinate plane. The equation of a straight line will be that relation which:

the coordinates of any point on the line must satisfy.the coordinates of any point not on the line will not satisfy.

The determination of this equation is straightforward. To find the slope intercept form of a straight line, we would need the slope, or the angle of inclination of this straight line from the x-axis and the intercept that it makes with the y-axis.

Given:

-10x+2y=12

As, we know the slope- intercept form is

y= mx +b

Then writing the equation as the slope intercept form

-10x+2y=12

2y = 12 +10x

Divide both side by 2 to make the coefficient as 1.

y= 12/2 + 10x/2

y= 6 + 5x

Hence, the slope intercept form is y= 6+5x

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Help me PLEASEEEEEEEEEEEEE

Answers

Answer:

part a answer is b and part b answer is 3

Step-by-step explanation:

Any Answers and explanation to this?

Answers

Answer:

give a thanks first and then ill tell you

Step-by-step explanation:

Answer:

Maybe it's D) or c) if not i'm du.mb and sorry

Step-by-step explanation:

PLS ANSWER ASAP!! Person with correct answer will be marked brainliest

Answers

Answer:

B

Step-by-step explanation:

The 3 angles (6x + 2), 40, 90 lie on s straight line and sum to 180° , that is

6x + 2 + 40 + 90 = 180

6x + 132 = 180 ( subtract 132 from both sides )

6x = 48 ( divide both sides by 6 )

x = 8 → B

hope this helps! feel free to clarify

PLEASE HELP ASAP!! CORRECT ANSWER ONLY PLEASE!!!

Select the correct answer.

Esther works for a marketing company. She earns $12 per hour, and she gets a $50 travel allowance every month. Which linear equation could be used to find her monthly pay rate?

A. y = 50x + 12

B. y = 12x + 50

C. y = 12x

D. y = 50x

Answers

It would be 12x + 50 because she is earning 50 monthly but 12 every hour.

The linear equation that could be used to find her monthly pay rate will be y = 12x + 50.

What is a linear equation?

It is referred to as the relationship between two variables, and a straight line is produced when the linear equation's graph is shown. The equation is referred to as a linear equation in one variable if just one variable is contained in the linear equation.

It is given that, Esther is employed by a marketing firm. She makes $12 per hour and receives a $50 monthly travel reimbursement.

Suppose x be the number of months,

The linear equation could be used to find her monthly pay rate is,

Total amount = Amount per hour×number of hour+ travel allowance

y = 12x + 50

Thus, the obtained linear equation for a given condition will be y = 12x + 50.

Learn more about the linear equation here:

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What is the value x² + 3y / xy, if x=4 and y=2?

Answers

Answer:

Step-by-step explanation:

x^2+3y/xy

4^2+3*2/4*2

16+6/8

22/8

the current value of an investment is 25% more than its initial value. The increase in value is $10 million. What was the initial value of the investment​
A.12.5 million
B.40 million
C.35 million
D.100 million

Answers

B is the answer ////////

f(x) = { 2x + 3
if 1 sr < 4
if x 34

Answers

Answer:

[tex]f(7) = 1[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \left[\begin{array}{cc}2x+3&1 <x < 4\\1&x>4\end{array}[/tex]

Required

Determine f(7)

To do this, we make use of

[tex]f(x) = 1[/tex]

Because [tex]7 > 4[/tex]

So, we have:

[tex]f(7) = 1[/tex]

7
What is the distance from 33, 5) to (3 7.-1

Answers

Answer:

7.211

Step-by-step explanation:

I'm going to assume that's supposed to say (33, 5) to (37, -1)

Use the pythagorean theorem: a^2 + b^2 = c^2

"a" is going to be your difference in x values (37 - 33) = 4

"b" is going to be your difference in y values (5 - (-1)) = 6

4^2 + 6^2 = c^2

16 + 36 = c^2

52 = c^2

sqrt(52) = c

7.211 = c

Kim took a 3,000 mile trip in 4 days.

1st day - 850 miles

2nd day - 745 miles

3rd day - 660 miles

How many miles did she travel the 4th day?

O A. 2265 miles

B. 745 miles

C. 855 miles

O D. 265 miles

E 755 miles

Answers

Answer:

B. 745 miles

Step-by-step explanation:

Given that

Kim took 3000 miles trip in 4 days

And,

1st day - 850 miles

2nd day - 745 miles

3rd day - 660 miles

We need to find out that how much she travel in the 4th day

So, it is

= 3000 miles - 850 miles - 745 miles - 660 miles

= 745 miles

Hence, the option b is correct

pleaser help me i really need help please

Answers

Answer:

V ≈ 706.9 cm³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

Here r = 5 and h = 9 , then

V = π × 5² × 9

   = π × 25 × 9

   = 225π

   ≈ 706.9 cm³ ( to the nearest tenth )

An angle measures 114° more than the measure of its supplementary angle. What is the measure of each angle

Answers

Answer:

33º and 147º

Step-by-step explanation:

x + (x + 114) = 180

2x + 114 = 180

2x = 66

x = 33º

x + 114 = 147º

The answer above is correct

Find the value of x in the given
right triangle.
10
x = [?]°
Enter your answer as a decimal rounded to the
nearest tenth.
Enter

Answers

Answer:

x = 44.4º

Step-by-step explanation:

sin = opp/hyp

sinx = 7/10 = 0.7

x = arcsin0.7

Use calculator

x = 44.4º

Answer:

44.4 I'm 100% sure

Step-by-step explanation:

Are these answers correct?

Answers

Answer:

Yes, your answers are correct!

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

you are correct!

Nearly 100% of the observed occurrences of a random variable x that is normally distributed will fall within three standard deviations of the mean of the distribution of x. True False

Answers

Answer:

True

Step-by-step explanation:

Three standard deviation from the mean value of distribution of x comprises of 99.7 % of the values of a given set of data.

However, 68% of the data lies with in one standard deviation

while  95% percent of the data lies  within two standard deviations

99.7% is approximately 100% of the observed occurrences.

Hence, given statement is true

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