The shape of f(x) = x^3, but shifted four units to the left, eight units down, and then reflected in the y-axis (in that order)

Answers

Answer 1

Answer:

steps below

Step-by-step explanation:

f(x) = x³

1. shifted four units to the left: f'(x) = (x+4)³

2. eight units down: f''(x) = (x+4)³ - 8

3. reflected in the y-axis: f'''(x) = (-x+4)³ - 8

The Shape Of F(x) = X^3, But Shifted Four Units To The Left, Eight Units Down, And Then Reflected In
Answer 2

The final shape after the transformation is f(x) = -(x + 4)³ - 8.

Original function: f(x) = x³

Shifted four units to the left: f(x) = (x + 4)³

Shifted eight units down: f(x) = (x + 4)³ - 8

Reflected in the y-axis: f(x) = -(x + 4)³ - 8

Hence, the final shape of the function after these transformations is f(x) = -(x + 4)³ - 8.

Learn more about transformation here:

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Related Questions

pls help due tonight

Answers

Answer:

-32

Step-by-step explanation:

-32x + 4y = 12

4y = 12 + 32x

/4      /4     /4

y = 3 + 8x

Write the expression in standard form,
(9+2i)(5-3i)

Answers

[tex](9+2i)(5-3i)\\\\=45-27i+10i-6i^2\\\\=45-17i+6~~~~~;[i^2 =-1]\\\\=51-17i[/tex]

[tex] \: \: \: \: \: \: [/tex]

[tex] = \: \: \: \: 51 - 17i[/tex]

refer to the attachment for explanationhope it helps

A positive real number is 2 less than another. When 4 times the larger is added to the
square of the smaller, the result is 16. Find the numbers.

Answers

Answer:

by how i was taught its 2

Step-by-step explanation:

6. Kendrick bought 4 bags of bagels. Every bag had a dozen bagels. How many bagels did Kendrick buy?​

Answers

Answer:

Kendrick bought 48 bagels.

Step-by-step explanation:

For this question, you would simply have to multiply 4 by 12.

Dozen means 12.

4x12=48

48 bagels.

In two or more complete sentences, describe the transformation(s) that take place on the parent function f(x) = 3x to obtain the graph of f(x) = 3-x + 1 - 5.

Answers

Answer:

Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x)  is called the logarithmic function with base a .

When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.

It is shifted 2 units vertical.(2 units down).

Answer:

Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x)  is called the logarithmic function with base a .

When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.

It is shifted 2 units vertical.(2 units down).

Step-by-step explanation:

A swim teacher sells lesson packages. The best deal has the highest ratio of lessons to total cost.
Swim Lesson Packages
Number of Total Cost
Lessons
1
$10
5
$40
10
$80
15
$80
Which package is the best deal?
0 1 lesson for $10
O 5 lessons for $40
ОООО
10 lessons for $80
O 15 lessons for $80

Answers

Answer:

15 lessons for $ 80

Step-by-step explanation:

In case 1

Cost of 1 lesson = $10

In case 2

Cost of 1 lesson = 40/5 = $8

In case 3

Cost of 1 lesson = 80/10 = $8

In case 4

Cost of 1 lesson = 80/15 = $ 5.33

Hence,

The best deal is case 4 i.e 15 lessons for $ 80

−x + 2y − z = 0
−x − y + 2z = 0
2x − z = 8

Answers

Step-by-step explanation:

several possibilities to solve this.

let's start with subtracting the second equation from the first

-x + 2y - z = 0

- -x - y +2z = 0

-------------------------

0 3y - 3z = 0

y - z = 0

y = z

now we use this in e.g. the first equation :

-x + 2z - z = 0

-x + z = 0

z = x (therefore, also x = y)

now we use this in the third equation :

2x - x = 8

x = 8 = y = z


At a movie theater, 360 people can see a particular movie over a period of 3 hours. At this
rate, how many people can see this movie over a period of 12 hours? (1 point)
A. 1,080
B. 1,440
C. 3,240
D. 4,320

Answers

Answer:

B. 1,440

Step-by-step explanation:

Answer:

Step-by-step explanation:

think about it how many groups can see the movie in 12 hours. that would be 4, now multiply 360 people by 4. if you do it right you answer should be 1440.(hope this helps :)   )

Add. 34.700 + 98.428 98.775 132.435 132.980 133.128

Answers

Answer:

34.700+98.42+98.775+132.435+132.980+133.128

Please answer I need step by step explanation

Answers

Answer:

10 cm

Simplified explanation/tl;dr: the small triangle is two thirds the size of the big triangle, so the missing side on the small triangle is two thirds the size of the same side on the big triangle

Long explanation/step by step:

It looks scary, but don't worry; for questions like this just find the ratio then multiply it by the similar side to find the missing side.

   This is what I mean: 8/12 simplified is 2/3 (4 is the common factor and 8/4 = 2 and 12/4 = 3). That's your fraction to multiply by.

   I chose 8 and 12 because look how the triangles are the same shape just different sizes, that means they're similar. the similar sides are just the same side on both triangles. (for this one, BC and GH are similar). to find how much smaller it is in fraction form, you just take two of the same sides and divide the small one by the big one. (big number becomes top, small becomes bottom)

   now just multiply 15 by 2/3 by using fraction multiplication. 15/1 x 2/3 = 30/3. Simplify that to 10/1 (3 is the common factor and 30/3 = 10 and 3/3 = 1). 10/1 = 10.

What is the slope of y = 4 – 2x
?

Answers

Answer:

m = -2

Step-by-step explanation:

Use the slope intercept formula y = mx + b

You would switch the order to get y = -2x + 4 to get it in the correct format.

You can then see that -2 is the slope based off the slope intercept formula

(b = y intercept)

(m = slope)

Kathryn is 1.4 meters tall. Convert her height to feet. Round to the nearest tenth.

Answers

Answer:

4.59318

Step-by-step explanation:

I think you would have to round to the nearest tenth or something so i dont know but this is the exact answer.

we laid out strands of lights to decorate the school each strand was 12 feet long how many strands did we need if we needed at least 70 feet of lights

Answers

6 strands
70/12=5.83
Because you can’t have .8 of a strand, you would need to round up to the next whole number (6)

(3x+14)= (7x+4)
Find X

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=5/2

Decimal Form:

x=2.5

Mixed Number Form:

x=2 1/2

Step-by-step explanation:

x= 5/2 or the alternative form is x= 2 1/2 and/or x= 2.5

write clearly please

Answers

Answer: this is 4

Step-by-step explanation: A+b=2+2=4

What is 1.231 rounded to the nearest hundredth?​

Answers

1.23 would be your answer.

Have a great day! :)

(b) A sum of money was to be shared among three friends Keisha, Tracey, and Kerry-Ann, in the
ratio 7:9:11 respectively. If Kerry-Ann received $3,300.00, find the sum of money that was
between the three friends.

Answers

The sum of the money that was  between the three friends is $8100.

Let x represent the amount of money given to the three friends to share.

Keisha, Tracey, and Kerry-Ann shared the money in the  ratio 7:9:11 respectively.

Since Kerry-Ann received $3300, hence:

(11/27) * x = 3300

11x/27 = 3300

x = $8100

The sum of the money that was  between the three friends is $8100.

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What is -6(-3+5r)=-5-7r

Answers

Answer:

r = 1

Step-by-step explanation:

Use the distributive property to multiply −6 by −3+5r.

18−30r=−5−7r

Add 7r to both sides.

18−30r+7r=−5

Add −30r and 7r to get −23r.

18−23r=−5

Subtract 18 from both sides.

−23r=−5−18

Subtract 18 from −5 to get −23.

−23r=−23

Divide both sides by −23.

r=−23/−23​

Divide −23 by −23 to get 1.

r=1

Write the equation of the line in slope intercept form that goes through points (-2, 5) and (3, 3)

Answers

Answer:

y=-2/5x+21/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-5)/(3-(-2))

m=-2/(3+2)

m=-2/5

y-y1=m(x-x1)

y-5=-2/5(x-(-2))

y-5=-2/5(x+2)

y=-2/5x-4/5+5

y=-2/5x-4/5+25/5

y=-2/5x+21/5

6.
In a decorative figurine shop, it takes of an hour to paint 8
identical ceramic figurines. How long does it take to paint one
figurine? At the same rate, how long would it take to paint 12
figurines?

Answers

The time it would take to paint one figurine is 0.125 hour.

The time it would take to paint 8 figurine is 1.5 hours.

The first step is to determine the average rate. Average rate is the total ceramic figurines painted divided by the total time.

Average rate = 8 /1 = 8 figurines / hour

In order to determine how long it would take to paint 8 figurines, divide 12 by the  average rate.

1 / 8 = 0.125 hour

In order to determine how long it would take to paint 8 figurines, divide 12 by the  average rate.

12 / 8 = 1.5 hours

A similar question was answered here: https://brainly.com/question/11967364

simplest form of 45/120

Answers

Answer:

3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 45 and 120 is 15

Divide both the numerator and denominator by the GCD

45 ÷ 15

120 ÷ 15

Reduced fraction:

3

8

Therefore, 45/120 simplified to lowest terms is 3/8.

Find the quotient. 9,270,000 100

Answers

Answer: 92,700

Step-by-step explanation:

9,270,000 / 100 = 92,700

Rational exponents of 2161/3?​

Answers

2161/3= 720,(3)
Ok done. Thank to me:>

PLEQSE ANSWER ASAP!!!!!!!!!!!!!!!!

Answers

Answer: (a) identity

Step-by-step explanation:

Anything multiplied by 1 will be considered an equation that is identity property.

5. Which of the following linear expressions is a factor of the cubic polynomial x^3 + 9x² +16x-12?
(1) x+6
(3) r-3
(2) x-1
(4) x+2

Answers

Answer:

(1) x+6

Step-by-step explanation:

Possible rational zeroes include ±1, ±2, ±3, ±4, ±6, ±12

Check each answer choice with synthetic division:

1 | 1 9 16 -12

 __1_10_26

    1 10 26 | 14

-2 | 1  9   16 -12

   __-2_-14_-4

      1  7   2  | -16

-6 | 1 9     16 -12

    __-6_-18_12

      1  3   -2  | 0

Therefore, x+6 is a factor of the polynomial

Answer:

(1) x+6

Step-by-step explanation:

What is the Area of this triangle? WILL MARK BRAINLIEST

Answers

Answer= 18

Explanation: you have to graph it on a grid paper first then make. Also trust me it’s the answer

Solve each absolute value equation
1. [n - 3]= 5

Answers

Answer:

n=8

n=-2

Step-by-step explanation:

or,n-3=5

or,n=5+3

or,n=8

Now consider,

or,n-3=-5

or,n=3-5

or,n=-2


How many pounds of reindeer food can Santa buy for $12 if he can buy 28
pounds for $35?

Answers

Answer:

14 Pounds

Step-by-step explanation:

35 / 12 = 2.9167

being as we all know you cant go over two because it is dealing with money, we know that he can buy half of 28 pounds. Which is 14.

Pleaseeeeeeeeeee help me

Answers

Answer:

[tex]\huge\boxed{6x-7y=21}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

[tex]b[/tex] - y-intercept (0, b)

We have:

[tex]y=\dfrac{2}{3}x-3\to m=\dfrac{2}{3};\ b=-3[/tex]

From answers:

[tex]6x-7y=21\qquad|-6x\\\\-7y=-6x+21\qquad|:(-7)\\\\y=\dfrac{6}{7}x-3\to m=\dfrac{6}{7};\ \boxed{b=-3}[/tex]

[tex]-\dfrac{2}{3}x+3y=6\qquad|+\dfrac{2}{3}x\\\\3y=\dfrac{2}{3}x+6\qquad|:3\\\\y=\dfrac{2}{9}x+2\to m=\dfrac{2}{9};\ b=2[/tex]

[tex]\dfrac{2}{3}x+3y=-3\qquad|-\dfrac{2}{3}x\\\\3y=-\dfrac{2}{3}x-3\qquad|:3\\\\y=-\dfrac{2}{9}x-1\to m=-\dfrac{2}{9};\ b=-1[/tex]

[tex]x+4y=12\qquad|-x\\\\4y=-x+12\qquad|:4\\\\y=-\dfrac{1}{4}x+3\to m=-\dfrac{1}{4};\ b=3[/tex]

Answer:

6x-7y=21

Step-by-step explanation: :)

Mrs. Nisbet had 97 books in her classroom library. She received a grant to expand her classroom library. After spending the money, she had 213 books. What is the percent increase? *

Answers

Answer: 219

Step-by-step explanation:

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