The graph of the function y = 3(x - 2)^3 + 7 is translated 2 units to the
right and then 4 units down. Write the equation of the final graph.​

Answers

Answer 1

Answer:

y = 3(x - 4)^3 + 3

Step-by-step explanation:

Given function

y = 3(x - 2)^3 + 7

Translation to the right achieved by adding - 2 to x-value

Translation down achieved by adding -4 to y-value

So the function becomes:

y = 3(x - 2  - 2)^3 + 7 - 4 ⇒y = 3(x - 4)^3 + 3

Related Questions

Type the expression that results from the following series of steps:
Start with x and double it.

Answers

Answer:

y= 2x

Step-by-step explanation:

when you wanna double something, you multiply it by 2

Ben earns $12,800 a year. About 15% is taken out for taxes.How much is taken out for taxes?

Answers

Answer:

10,200

Step-by-step explanation:

Subtract 15% using a calculator.

12,800-15%

please help meh i really need it thanks UwU

Answers

Answer:

a. 9.5

b. 32

c. 68

d. 15

Step-by-step explanation:

write an equation with a slope of -1/2 that passes through the point (4,-9)

Answers

Answer:

It should be y=-1/2+(-1)

Step-by-step explanation:

What is the equation of the line that passes through the points (4, –1) and (3, 5)?

Answers

Answer:

(4, -1) (3, 5) In this problem, we use the formula y2 - y1 over x2 - x1.

Step-by-step explanation:

Step 1: Plug In--> 5 - (-1)

                            3 - 4

Step 2: Simplify. --> 6

                                -1

Answer: -6

PLEASE HELP MY SOULLLLL

please answer these (please show a little work not alot is needed just some but, feel free to put more) plz put the question number next to the answer if you put it as text if you just edit the pictures then ignore then don't mind it

Answers

Answer:

I will help ur soul

Step-by-step explanation:

Do u need the work as well?

Captain America's circular shield has a diameter of 76.2 centimetres. What is the area of his shield?​

Answers

Answer:

4560.37

Step-by-step explanation:

A= 1 /4 x π x 76.2²

Brainliest?????

The area of the Captain America's circular shield is 4560.36 cm²

From the question,

We are to determine the area of Captain America's circular shield, which has a diameter of 76.2 cm.

To do this,

We will use the formula for finding the area of a circle.

The formula for the finding the area of a circle is

[tex]A = \pi r^{2}[/tex]

Where, A is the area

and r is the radius of the circle

From the question

Diameter of the circular shield = 76.2 cm

First, we will determine the radius of the circular shield

From

[tex]Radius = \frac{Diameter}{2}[/tex]

∴ Radius of the circular shield = [tex]\frac{76.2}{2}[/tex] cm

Radius of the circular shield = 38.1 cm

Now, for the area of the shield

r = 38.1cm

∴ Area of the shield = [tex]\pi \times 38.1^{2}[/tex]

Area of the shield = 1451.61π

(Take π = 3.14159)

∴ Area of the shield = 1451.61 × 3.14159

Area of the shield = 4560.36 cm²

Hence, the area of the circular shield is 4560.36 cm²

Learn more here: https://brainly.com/question/12180399

PLS HELP 100 POINT I WILL MARK BRAINLEST
The New York State Department of Health (NYSDOH) collects, compiles, and analyzes information on influenza activity year round in New York State (NYS) and produces this weekly report during the influenza season. The following data starts on the first week of December.
Week 1 - There were 1,839 laboratory-confirmed influenza reports
Week 2 - There were 3,264 laboratory-confirmed influenza reports
Week 3 - There were 5,301 laboratory-confirmed influenza reports
Week 4 - There were 9,211 laboratory-confirmed influenza reports
Week 5 - There were 10,085 laboratory-confirmed influenza reports

Make a prediction. Knowing that this is the peak of the season (peak means the highest numbers of cases during the season), what do you guess the data will be in three months. Why do you think this?

Answers

Answer:

The number of cases will go down.

Step-by-step explanation:

It is stated that this data was recorded during the peak of the season, so it will go down in three months.

I think the number of cases will go down but I’m dumb. Give it a try tho! Hope this helps!

I NEED HELP ASAP, WILL GIVE BRAINLIEST

Which shows the series 0 + 2 + 6 + 12 written in sigma notation? Which shows the series 0+2+6+ 12 written in sigma notation? a. 4 (2n - 2) n=1 b. 4 (n-1) (n − 2) n=1 C. 4 (n2 - 1) n=1 d. 4 An(n-1) n=1​

Answers

Answer:

d

Step-by-step explanation:

Use POE to eliminate answers that are not correct. Plug 1,2,3,4 into n for each of the sums, and see if they give you 0+2+6+12. Only D does this.

Which expression(s) have a value that is greater than 6?

Select all the correct answers.


A. 6×23

B. 6×218

C. 6÷34

D. 6−15

F. 6−120

Answers

Answer:

A B F

Step-by-step explanation:

juussssstttttt trrrruuuassttt meeee

PLEASE HELP
Let f(x) = 4x + 3 and g(x) = -2x + 5. Find.(f.g)(5)
a. 23
b. -17
c. -41
d. -5

Answers

Answer:

After solving we get (f.g)(5)=-115

But the correct option is not given in the question.

Step-by-step explanation:

We are given:

[tex]f(x) = 4x+3\\g(x)=-2x+5[/tex]

We need to find (f.g)(5)

First we will multiply f and g to find (f.g) i.e

[tex](f.g)(x)= f(x) \times g(x)\\(f.g)(x) = (4x + 3)(-2x + 5)\\(f.g)(x)=4x(-2x+5)+3(-2x+5)\\(f.g)(x)=-8x^2+20x-6x+15\\(f.g)(x)=-8x^2+14x+15\\[/tex]

Now putting x=5

[tex](f.g)(x)=-8x^2+14x+15\\Put \ x=5\\(f.g)(5)=-8(5)^2+14(5)+15\\(f.g)(5)=-8(25)+70+15\\(f.g)(5)=-200+70+15\\(f.g)(5)=-115[/tex]

So, after solving we get (f.g)(5)=-115

But the correct option is not given in the question.

Which of the following is not an advantage of renting?
a. ease of mobility
b. fewer responsibilities
C. lower initial costs
d. restricted lifestyle

Answers

Answer: d.

restricted lifestyle

Step-by-step explanation:

on ed

The option that is not an advantage of renting is;

D: Restricted lifestyle

When we rent a home, it means that we are paying the owner of the home some money periodically which could be yearly, monthly weekly e.t.c to make use the house.

Now, renting a home could be advantageous for different reasons and so let us look at each option given;

A) Ease of mobility; Sometimes we need to rent a home close to our place of work or business for ease of movement and as such this is an advantage.

B) Fewer responsibilities; Sometimes when we don't have too many responsibilities, renting a small home for a specific purpose could be very beneficial.

C) Lower Initial Costs; Renting a home is always cheaper initially than buying a home.

D) Restricted lifestyle; This is not an advantage of renting a home because renting a home is not meant to restrict your lifestyle but improve it.

Read more about renting at;  https://brainly.com/question/14626962

In a fish tank there are 5 star fish for every 4 piranhas. Write 3 equivalent ratios.

Thank you

Answers

Answer:

10:8 (starfish:piranhas)

20:16 (starfish:piranhas)

15:12 (starfish:piranhas)

Step-by-step explanation:

8x+4(4x- 3) = 4(6x +4)-4​

Answers

There’s no value of x that make the equation true. (No solution)

An airplane flies 3,080 km from Houston to New York at a speed of 770 km/h. How long did it take the plane to travel that distance? ​

Answers

Answer:

time = distance/speed

3080/770 = 4

So it took 4 hours.

Step-by-step explanation:

Find the slope of each line

Answers

ok so its

0,-2 and 1,-3

Part A: Determine the average rate of change over the interval [B, C] .
O 6
O 24
O 96
O 384
Part B: Determine the average rate of change over the interval [D, E] .
O 6
O 24
O 96
O 384
Part C: The average rate of change is
O larger over the interval [D,E] than [B,C].
O smaller over the interval [D,E] than [B,C].
O the same over the interval [D,E] than [B,C].

Answers

Answer:

Part A: 24

Part b: 384

Part c: larger over the interval

Step-by-step explanation:

Evaluate and simplify (reduce) 1 2/3 * 4/5

Answers

Answer:

4/3 or 1 and 1/3

Step-by-step explanation:

Convert to the same denominator and turn the first on into an improper fraction and multiply.

Step-by-step explanation:

1 1/3 or 1.333(repeating)

Last month, Jess received $13,087, of which $7,594 were one-time donations. If she earns $3 for each monthly subscription, which equation represents this situation, where x represents the number of monthly subscriptions to her channel?

Answers

Answer:

13,087 = 3x + 7,594

Step-by-step explanation:

have a good day

In 1990 Detroit, Michigan, had an estimated population of 1,027,974. By 2000 the population had decreased 7 1/2%. What was the estimated population in 2000 for Detroit, Michigan? Find the answer to the nearest whole number.

Answers

Answer:

950876

Step-by-step explanation:

- the population had gone down 7.5%, that means 92.5% of the population remained [ 100 - 7.5 = 92.5 ]

- 92.5% of the original population is

( 92.5/100 ) * 1,027,974

- calculate  and you'll get = 950875.95

- rounded up, its 950876

Please look at the picture and give me the right answer, if your answers are right, you will get brainliest.

Answers

Answer:

80

Step-by-step explanation:

60 seconds=1 minute

6x10=60

multiply the number of cups with the same number used to multiply 6 with

8x10=80

80 cups per minute

I believe it is 80 sorry if wrong

simplify -d - 10.25(16d-4)

Answers

i wrote down how i did this problem! hope it helps!!



a. 3x - 7+9 - 2x = x+2
Simplify equation

Answers

Answer:

No solution

Step-by-step explanation:

3x - 7+9 - 2x = x+2

3x-2x-x=2+7-9

0=0

No solution

Put 2y= -3x = 5 in standered form

Answers

Answer:

3x + 2y = 5

Step-by-step explanation:

Given: 2y= -3x + 5 (assuming the sign before 5 is + instead of =)

for standard form, it has to be in ax + by = c

2y = -3x + 5; add 3x to both sides

3x + 2y = 5

(ANSWER ASAP) Solve the inequality. ​

Answers

Answer:

a>6

Step-by-step explanation:

add 2 to both sides

Answer:

a>6

Step-by-step explanation:

First, you would add 2 to each side to cancel out the -2 after the a. Now, you have a>6.

find x

please help me out will mark you brainliest

Answers

Answer:

x=52

Step-by-step explanation:

Answer:

Step-by-step explanation:

41+x+87=180, x=52

3. Sum of digits of a two digit number is 14. When 18 is added to the original number, then the new number is obtained by exchanging the digits of the original number. Express the statements in equation.​

Answers

Answer:

let the numbers be xy

general form of the number =10x+y

sum of digits of a number =14

x+y=14………[1]

if 18 is added to the number, then digits are interchanged

10x+y+18=10y +x

9x-9y=-18

X-y=-2………[2]

the linear equations are 1) x+y=14

2) X-y=-2

adding [1],[2]

2x=12

x=6

x+y=14

y=14-x

y=14-6

y=8

there fore the number =10*6+8

=68

check:-

1)6+8=14

2)68+18=86

I hope this helped!

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each expression to make pairs of equivalent expressions.

Answers

Answer:

2314

Step-by-Step

this should answer your question correctly

Answer:

2314

Step-by-step explanation:

Ben is going to rotate a figure in Quadrant IV 90 counterclockwise. In which Quadrant should be image be

Answers

The answer would be quadrant 1.

what would the answer be iam kinda stuck on this​

Answers

Answer:

82

Step-by-step explanation:

Triangles' degrees supposed to add up to 180 degrees. 56 = 42 = 98. 180 - 98 = 82.

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