Write the equation for f(x)=x3
after being translated to the left
8 units and up 3 units.

Answers

Answer 1

Using translation concepts, the equation will be given by:

[tex]g(x) = (x + 8)^3 + 3[/tex]

The parent function is:

[tex]f(x) = x^3[/tex]

Shifting a function left 8 units means that [tex]g(x) = f(x + 8)[/tex], hence:

[tex]g(x) = f(x + 8) = (x + 8)^3[/tex]

Shifting a function up 3 units means that 3 is added to the function, that is, [tex]g(x) = f(x + 8) + 3[/tex], hence:

[tex]g(x) = f(x + 8) + 3 = (x + 8)^3 + 3[/tex]

Which is the desired equation.

You can learn more about translation concepts at https://brainly.com/question/4521517


Related Questions

Guys, Take a look at the screenshot below, do you understand this problem? If you do so, please tell me the answer!

Answers

Answer:

there is no screenshot or I just can't see it

There’s no screenshot srry

What is the estimated difference between 7 6/11−5 13/15 ?

Answers

Answer:

1 1/2

Step-by-step explanation:

7 6/11−5 13/15

7 6/11 is close to 7 1/2

5 13/15 is close to 6

7 1/2 - 6 = 1 1/2

Answer:

1 1/2

Step-by-step explanation:

The difference is one-and-one-half. I rounded seven-and-six-elevenths to seven-and-one-half. Then, I rounded five-and-thirteen-fifteenths to six. Seven-and-one-half minus six is one-and-one-half.

At a restaurant, the amount of your bill before taxes and tip is $19.83. A 6% sales tax is applied to your bill, and you leave a tip equal to 19% of the original amount. Use mental math to estimate the total amount of money you pay to the nearest dollar.

Answers

Answer:

First, round $19.83 to make the mental math easier.  Then round the tip as well.  Then you can easily multiply the two rounded numbers to find the value.

Step-by-step explanation:

System of equation

Value of b

Answers

[tex]8a + 9b = 12 \\ a + b = \frac{12}{8} \div 9 \\ = - 6[/tex]

Please help it’s a test and it is past due!!! NO LINKS please!!!!
Use the substitution method to solve the system of equation!!! Choose the correct ordered pair!?!? Use the picture below to help you!!

Answers

Answer:

The answer is C. (-2, 7)

Good luck :)

A file that is 261 megabytes is being downloaded. If the download is 17.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.

Answers

Answer:

44.6 megabytes

Step-by-step explanation:

If 261 megabytes = 100% and we are looking for 17.1% then we can make a cross product.

261= 100

? = 17.1

It means that (17.1x261)/100 = 44.631

If we round our answer it equals 44.6

PLEASE ITS DUE 5 MINS

Answers

Answer:

I'm sorry pls retake the pic really quickly.. I can't see the entire problem!

Then I'll add my answer if I can! Thx!

What happens to the value of the expression b - 1 as b increases?

Answers

Answer: The value will increase by one as B increases by one or so on

Step-by-step explanation:

Answer:

It increases

Step-by-step explanation:

Hi, anyone help me with this, please
A television addic can buy either two televisions and three video recorders for $1750 or four televisions and one recorder for $1250. Find the cost of one television and one video recorder

Answers

Answer: helloooo

Step-by-step explanation:

Television = $200 and Video Recorder = $450

sory if im wrong this is just what I think

HI GUYS CAN SOMEONE PLEASE HELP...
TYSM IT WUD MEAN SO MUCH

Answers

Answer:

what do you need help with??

Step-by-step explanation:

i would be happy to help : )

what is 56 inches in meters rounded to the nearest hundredth

Answers

Answer:

  1.42 m

Step-by-step explanation:

Each inch is 0.0254 meters, so 56 of them is ...

  56(0.0254 m) = 1.4224 m ≈ 1.42 m

How to solve math equation

Answers

By using a calculator

i forgot what the definition of y-axis and x-axis was

Answers

Answer:

y is the height and x is the length

Step-by-step explanation:

Remember when you're doing y and x axis y is height and x is length it works like coordinates.

What percentage of all water on Earth is freshwater in liquid form?
67%
1%
31%
3%

Answers

Answer:

3% freshwater

Step-by-step explanation:

What percentage of all water on Earth is freshwater in liquid form?

67%

1%

31%

3%

Answer:

1%

Step-by-step explanation:

3% is wrong. I took the test and I’ve studied this :)

Find the distance between the two points. (-2,1) (1,-2) Enter the number that goes beneath the radical symbol​

Answers

Answer:

4.242641

Step-by-step explanation:

d=[tex]\sqrt{(1-(-2))^{2}+(-2-1)^{2} }[/tex]

d=[tex]\sqrt{(3)^{2} + (-3)^{2} }[/tex]

d=[tex]\sqrt{9+9}[/tex]

d=[tex]\sqrt{18}[/tex]

d=4.242641

(does it deserve a Brainliest)

simplest form of 3/4+1/12

Answers

Answer:

5/6

Step-by-step explanation:

Graph the point (−1, 5/2) on the coordinate plane.

PLEASE HELP ASAP

Answers

Answer:

The answer is 2 1/2

Step-by-step explanation:

The graph of point (-1,5/2) will be 1 unit left and 2.5 units up from the origin and has been plotted below.

What are coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinate is the denotation of horizontal and vertical distinctions in a coordinate plane with actual distance as per a given scale factor.

The general form of coordinate (x,y) shows x distance far from the origin in the horizontal direction and y distance far from the origin in the vertical direction.

(-1,5/2) → -1 units refer to 1 unit left due to the minus sign.

5/2 = 2.5 its positive so 2.5 units up.

Hence "The graph of point (-1,5/2) will be 1 unit left and 2.5 units up from the origin".

For more about coordinates,

brainly.com/question/7869125

#SPJ2

solve pls brainliest


How can I use the scale factor to determine if a picture is an enlargement?

Answers

Answer:

You can use the scale factor to determine if a picture is an enlargement if the scale factor is greater than 1. If it is less than 1 like 0.9 then the picture would be a reduction because you would be multiplying the number by a number smaller than 1. Now if we have a scale factor greater than 1 let's say 3. Then the picture would be an enlargement because the number is greater than 1.

Step-by-step explanation:

Expand and simplify (√10-√2)² Give your answer in the formn b-c√5 where b and c are integers

Answers

Answer:

12-4√5

Step-by-step explanation:

(√10-√2)²

(√10-√2)(√10-√2)

Foil/distribute

10-√20-√20+2

12-2√20

12-2√4*√5

12-2*2√5

12-4√5

On expansion of the algebraic identity of [tex](a-b)^2[/tex], the expansion of [tex](\sqrt{10}-\sqrt{2})^2[/tex] is [tex]12-4\sqrt{5}[/tex]. Thus making b = 12 and c = 4.

Algebraic identities are expansion of powers of algebraic expressions.

One such algebraic identity is the expansion of [tex](a-b)^2[/tex]. It is given by:

[tex](a-b)^2 = a^2+b^2-2ab[/tex]

Given the question,

[tex](a-b)^2 = a^2+b^2-2ab[/tex]

[tex](\sqrt{10}-\sqrt{2})^2 = ( \sqrt{10})^2+(\sqrt{2})^2 -2 ( \sqrt{10})(\sqrt{2})\\\\=10 + 2 - 2\sqrt{20}\\\\ =12 - 2\sqrt{2*2*5} \\\\= 12 -2*2\sqrt{5} \\\\=12-4\sqrt{5}[/tex]

Given the form, [tex]b - c\sqrt{5}[/tex],

On comparison,

b = 12

c = 4

Learn more about algebraic identities here

https://brainly.com/question/28853516

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what are 43.6÷8 use compatible numbers using the quotient

Answers

Answer:

7.3

Step-by-step explanation:

Pls help again what’s 2.8446 rounded to the nearest hundreth

Answers

Answer:

2.84

Step-by-step explanation:

Since 4 is below 5, you would not round 2.84 to 2.85

how to find a and b in the equation below.
3(a+b)=28

Answers

we have:    3(a+b)=28 => a + b = 28/3

=> a = 28/3 - b      and      b = 28/3 - a

ok done. Thank to me :>

2,826 rounded to the nearest tenth

Answers

Answer:

2,830

Step-by-step explanation:

can some one help me on this

Answers

28 divided by 4 = 7
so do 7 * 5 which is 35 so they make 35 cookies in 5 seconds

5 3/5 divide by 2 2/3

Answers

Answer 2 1/10

work is shown in the picture above. I hope this helps.

Carlo and his two brothers helped to decorate the house for the party. Each of them blows 12 balloons. But 5 balloons pop. How many balloons do they have for decoration.

Answers

Answer:

31

Step-by-step explanation:

thye blow up 36 balloons in total but 5 pop 36-5=31

The table shows the heights y (in centimeters) of a plant after x weeks. How many centimeters does the plant grow in one week?

Table:
x: 0, 6, 12
y: 20, 29, 38

Answers

Answer:

29/6 = 4.83.. or 4.8

-233.2 - 25.8
Please help.

Answers

Answer:

-259

Step-by-step explanation:

brainliest

Answer:

-259

Step-by-step explanation:

Subtracting a negative number is the same as adding a positive number — that is, go up on the number line. This rule works regardless of whether you start with a positive number or a negative number.

When subtracting a negative number, remember that the two back-to-back minus signs cancel each other out, leaving you with a plus sign.

Subtracting Negative and Positive Integers

To subtract integers, change the sign on the integer that is to be subtracted.

If both signs are positive, the answer will be positive.

Example: 14 - (-6) = 14 + 6 = 20

If both signs are negative, the answer will be negative.

Example: -14 - (+6) = -14 - 6 = -20

If the signs are different subtract the smaller absolute value from the larger absolute value. The sign will be the sign of the integer that produced the larger absolute value.

Example: 14 - (+6) = 14 - 6 = 8

Example: -14 - (-6) = -14 + 6 = -8

Marking brainliest



What do you thinks this means and why does it matter

Answers

they will reverse the damage Trump has done (vehicle-wise) by givivng a 10% vehicle efficiency boost in 2023

Answer the ones you want to. Answer at least one.

Have no idea how to do this. Please help I beg you.

Answers

Answer:

i don't understand 5, 8, 9, or 10.. I'm sorry...

6. A. With each one (1,2,3) the pattern increases by 3 dots each time

B. the fourth pattern would be 4 rows of 3 (look at picture below)

7. The pattern adds 2 squares, one on the left and one on the right side

Step-by-step explanation:

so... a conjecture is basically like an educated guess.. so ye :)

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