State the order and type of each transformation of the graph of the function
ƒ(x) = –(x + 1)3 + 1 as compared to the graph of the base function

Answers

Answer 1

Answer:

steps below (C)

Step-by-step explanation:

1. x³ -> (x+1)³   ... horizontal translation left 1 unit

2. (x+1)³ -> -(x+1)³  .... reflection over x axis

3. -(x+1)³ -> -(x+1)³ + 1  ... vertical translation up 1 unit


Related Questions

Help desperatlu6(5x-3)

Answers

[tex]6(5x-3)[/tex]

Distribute:

[tex](6)(5x)+(6)(-3)[/tex]

[tex]=\fbox{30x - 18}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{6(5x - 3)}[/tex]

[tex]\text{DISTRIBUTE 6 WITHIN the PARENTHESES}[/tex]

[tex]\mathsf{= 6(5x) + 6(-3)}[/tex]

[tex]\mathsf{= 30x - 18}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{\mathsf{30x - 18}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

If UM =23 then MW=
No links please

Answers

Answer:

23

Step-by-step explanation:

because m is the midpoint and it divides line uw in two equal parts

Answer:  23

This is because for any parallelogram, the diagonals always bisect each other. This means the diagonals cut each other in half. The two halves are the same length. This is why UM = MW. It also means TM = MV.

Which power has a base of 2 and an
exponent of 6?
A 28
B 62
C 126

Answers

Answer:

A

Step-by-step explanation:

the base is the the big number, the exponent the small one

After eating dinner at a restaurant, your bill before tax and tip was $72.50. The sales tax rate is 8% and you decide to leave a 20% tip based on the bill after tax was added. What is the total cost of the dinner?

Answers

Answer:

77.40

Step-by-step explanation:

The time t(in minutes) required to empty a tank of wastewater varies
inversely with the rate r (in gallons per minute) of pumping. The constant of
variation is 56. Find the time it will take to empty the tank when the rate is 4
gal/min
O A. 14 minutes
O B. 52 minutes
O .
C. 224 minutes
O D. 0.07 minutes​

Answers

Answer:

A.

Step-by-step explanation:

answer A. 14 minutes is your answer

pls help 10 ptsss
NO LINKS

Answers

Answer:

o to http://

Step-by-step explanation:

On the grid, draw graphs of y=x+2 and x+y=3

Answers

Try getting a graphing calculator they help a lot

Answer:

The image shows the answer and below I will explain more about it.

Step-by-step explanation:

To draw a line all you need is two points on the graph, and people mainly use the coordinates of the y and x intercepts to draw it (when x=0 and when y=0)

so for these questions all we do is:

y=0+2 (we are putting x=0 into the equation)

y=2, x=0 so this is the first of our set of coords:

0=x+2

x=-2 y=0 (we are putting y=0 into the equation)

so all you do is plot these in and draw a line which passes between both,

now just repeat for the other one :)

help help help help help help

Answers

Answer:

it is D :)

Step-by-step explanation:

What is the total mass of 9 dog bones? ​

Answers

Answer:

whats the mass of 1 dog bone

have a good day :)

Step-by-step explanation:

HELP QUICK
What is the solution to the equation square root n = square root 3n - 3 + 1
n=-4, n=-1
n=-1
n= 1
n = 1, n = 4

Answers

Answer: it's c

n = 1

Step-by-step explanation:

find the arithmetic mean and geometric mean of the set of numbers

{3, 7}

Arithmetic mean ________

Geometric mean ________

A. 21/2
B. 5
C. 21
D. 10

Answers

Answer: See explanation

Step-by-step explanation:

The arithmetic mean will be gotten by adding the numbers together and dividing them by 2. This will be:

= (3 + 7)/2

= 10/2

= 5

Geometric mean will be:

= ✓3 × 7

= ✓21

= 4.59

Calculate a margin of error with sample size 1025 and a standard deviation of 1.5.

Answers

Answer:

385

Step-by-step explanation:

-|-5| what is the absolute value

Answers

Answer:

-5

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

negative times negative equals positive

What is the value of k and why?

Answers

9514 1404 393

Answer:

  (c)  π/2

Step-by-step explanation:

We know the sine of an angle is the cosine of its complement, and vice versa. The complement of angle x is (π/2-x), so ...

  sin(π/2 -x) = cos(x)

This is shown by the attached graph.

Choose 3 values for x that would make this inequality true. 24 > 2 ( x + 2)

Answers

0, 1, 2
all are less than 24

The first year Eleanor organized a fund-raising event,
she invited 30 people. For each of the next 5 years,
she invited double the number of people she had
invited the previous year. If f(n) is the number of
people invited to the fund-raiser n years after
Eleanor began organizing the event, which of the
following statements best describes the function f?

Answers

I think it’s /28
Explanation

Fill in the blank with a number to make the expression a perfect square.
[tex]x {}^{2} + 12x + |?| [/tex]

Answers

Answer: 36

Explanation: To find the last number you would need to divide 12 by 2. Than square the answer you get. It will get you 36.

Which triangle is similar to the one shown below?
3 cm
5 cm
4 cm

Answers

Answer:

C

Explanation:

they are in the ratio 1:2

The solution is Option C.

The triangle PRQ with sides 6 cm , 8 cm and 10 cm is similar to the triangle ABC with sides 3 cm , 4 cm and 5 cm and the ratio is 1 : 2

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ΔABC

Now , the measure of side AB = 3 cm

The measure of side BC = 4 cm

The measure of side AC = 5 cm

Now , let the second triangle be represented as ΔPQR

where , the measure of side PQ = 6 cm

The measure of QR = 8 cm

The measure of PR = 10 cm

The ratio of sides of the triangle is 1 : 2

So , the triangles ΔABC and ΔPQR are similar and the corresponding sides are also in the ratio

Hence , the similar triangle is with the sides 6 cm , 8 cm and 10 cm

To learn more about similar triangles click :

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Aloma is 6 years older than Mecole. If the sum of their ages is 48, how old is Mecole? *

Answers

Mecole is 21 because 27+21=48. I hope this helps :)

coordinate plane with line g that passes through the points negative 3 comma 6 and 0 comma 5 What is the equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (1, −2)?

Answers

An equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (1, −2) is y = 3x - 5.

How to determine an equation of this line?

Mathematically, the standard form of the equation of a straight line (slope-intercept form) is given by this mathematical expression;

y = mx + c

Where:

m represents the slope.x and y are the points.c represents the intercept.

From the information provided, we have the following points on line g:

Point = (-3, 6)

Point = (0, 5)

Next, we would determine the slope of line g as follows;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (5 - 6)/(0 - (-3))

Slope, m = -1/3

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

-1/3 × m₂ = -1

m₂ = 3

At point (1, -2), an equation of this line can be calculated in slope-intercept form as follows:

y - y₁ = m(x - x₁)

y - (-2) = 3(x - 1)

y + 2 = 3x - 3

y = 3x - 3 - 2

y = 3x - 5

Read more on slope here: brainly.com/question/3493733

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NO LINKS PLS
The ratio of hot dogs to hamburgers on a barbeque table is 5:4. If there are 36 hamburgers on the table then how many hot dogs must be there?

Answers

Step-by-step explanation:

let the ratio be x

then, 5x, 4x is the ratio of hotdog and hamburger

According to question,

5x+3x=36

8x=36

x=36÷8

x=4

therefore, no, of hotdogs are= 5x

=5×4

=20

Which equation correctly solves the formula of r? 4πr^2h

Answers

The equation that correctly solves the formula of r is r = [tex]\sqrt{\frac{A}{4\pi } }[/tex]

How can the value of r be computed?

The concept here is the concept of subject of the formula.

The variable being calculated is the formula's subject. On one side of the equals sign, it is identifiable as the letter on its own. For instance, the subject of the formula for the area of a rectangle is A = b h (area = base height).

The formula given was A=4πr^2h, then we can r the subject of the formula as

r^2 = A /4π

Then r = [tex]\sqrt{\frac{ A }{4\pi } }[/tex]

Therefore, option B iscorrect.

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missing options:

A) r = 4πA B) r = A 4π C) r = A 4π D) r = A 4π

Find the measure of angle A,

Answers

B. Is the answer for sure

what’s the solution to the linear equation?

2/3x-1/2=1/3+5/6x

a. x=-5
b. x=-1/6
c.1/6
d.x=5

Answers

its A i believe :)!!

The diagonals of a quadrilateral ABCD intersects each other at the point O such that AO/BO=CO/DO.Prove that ABCD is a trapezium.​

Answers

Answer:

Step-by-step explanation:

To prove that a quadrilateral ABCD is a trapezium when the diagonals intersect at a point O such that AO/BO=CO/DO, we can use the fact that opposite sides of a trapezium are parallel.

First, let's draw a diagram to represent the given information:

[asy]

pair A, B, C, D, O;

A = (0,0);

B = (2,0);

C = (3,2);

D = (1,2);

O = intersection point(A-C, B--D);

draw(A--B--C--D--cycle);

draw(A-C);

draw(B--D);

label("A", A, W);

label("B", B, E);

label("C", C, E);

label("D", D, W);

label("O", O, N);

label("$\theta_1$", (B+O)/2, NE);

label("$\theta_2$", (O+D)/2, NE);

label("$\theta_3$", (O+C)/2, NW);

label("$\theta_4$", (A+O)/2, NW);

[/asy]

Since the diagonals intersect at point O, the angles formed by the diagonals at O are supplementary (that is, they add up to 180 degrees). In other words, we have:

θ1 + θ2 = 180 degrees

θ3 + θ4 = 180 degrees

Since AO/BO=CO/DO, the triangles AOB and COD are similar. This means that the ratios of their sides are equal. We can write this as:

AO/BO = CO/DO

We can also write this as:

AO/DO = CO/BO

Then, since the angles formed by the diagonals at O are supplementary, we have:

θ1 + θ2 = 180 degrees

θ1 + θ4 = 180 degrees

Subtracting these two equations gives us:

θ2 - θ4 = 0

Since the angles are equal, they are also opposite angles of the quadrilateral ABCD. Therefore, the opposite sides of AB and CD are parallel, which means that ABCD is a trapezium.

Which of the following ordered pairs are located exactly five units from (-1, 2)? Select all that apply.
(-1,7)
(-1,-3)
(-6, -1)
(-6,2)
(2,4)

Answers

Answer:

(-1,-3) and (-1,7)

Step-by-step explanation:

The x axis remains at the point -1 so u must see the -3 and 2 or the 7 and 2 which means both are correct . I’m not confident this is right but I tried.

Answer:

(-1,7)

(-1,-3)

(-6,-2)

Step-by-step explanation:

What is the 5th term of the geometric sequence
9. 27. 81.243, ...?

Answers

Answer:

729

Step-by-step explanation:

You are multiplying 3 each time. The first 4 terms are given to you:

Term 1: 9

Term 2: 9 x 3 = 27

Term 3: 27 x 3 = 81

Term 4: 81 x 3 = 243

Term 5: 243 x 3 = 729

729 is the 5th term of the geometric sequence.

Answer:

729

Step-by-step explanation:

Each terms are multiplied by 3.

So the 5th term is 243*3 = 729.

5 Bill hits a hockey puck on a frozen pond.
He records the distance the puck travels
over time. Use any method to explain
whether the distance the puck travels per
second is constant.

Answers

Answer: To determine whether the distance the puck travels per second is constant, we can use the concept of average speed. Average speed is defined as the total distance traveled divided by the time it takes to travel that distance.

If the average speed is constant, then the distance the puck travels per second is also constant. If the average speed is not constant, then the distance the puck travels per second will vary.

To determine the average speed, we need to know the total distance traveled and the time it took to travel that distance. Once we have this information, we can calculate the average speed by dividing the total distance traveled by the time it took to travel that distance. If the resulting value is constant, then the distance the puck travels per second is also constant.

Step-by-step explanation:

divide by 120000÷600​

Answers

Answer:

120000/600

200 is your answer

The table below shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it.

Flow rate, x
(gal/hr)
Time, y
(hours)
60
300
45
400
36
500
30
600

How long will it take to fill the pool if two hoses are used, one that fills at a rate of 40 gallons per hour and one that fills at a rate of 60 gallons per hour?
100 hours
150 hours
180 hours
200 hours

Answers

Answer:

C

Step-by-step explanation:

The number of hours to fill the pool will be 180. Then the correct option is C.

What is Algebra?

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The table below shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it.

Flow rate (gal/hr)                   Time (hours)

           x                                          y

         60                                       300

         45                                       400

         36                                       500

         30                                       600

Then the amount of liquid in the pool will be

⇒ 60 x 300

⇒ 18,000 gallons

If this much liquid is filled with hose that has a rate of 40 gallons per hour, then the number of hours will be

⇒ 18,000 / 40

⇒ 450 hours

Then the number of hours if two hoses are used to fill the pool that one has a rate of 40 gallons per hour and one has a rate of 60 gallons per hour will be

1/T = 1/450 + 1/300

1/T = 1 / 180

  T = 180 hours

Then the number of hours to fill the pool will be 180.

Then the correct option is C.

More about the Algebra link is given below.

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