The graph of g(x) is a reflection and translation of f (x) = RootIndex 3 StartRoot x EndRoot.

On a coordinate plane, a cube root function goes through (0, 1), has an inflection point at (1, 0), and goes through (2, negative 1).

Which equation represents g(x)?

g (x) = RootIndex 3 StartRoot x + 1 EndRoot
g (x) = RootIndex 3 StartRoot x minus 1 EndRoot
g (x) = Negative RootIndex 3 StartRoot x + 1 EndRoot
g (x) = Negative RootIndex 3 StartRoot x minus 1 EndRoot

Answers

Answer 1

Transformation involves changing the form of a function.

The equation that represents g(x) is (c) [tex]g(x) =-\sqrt[3]{x+1}[/tex]

Function f(x) is given as:

[tex]f(x) =\sqrt[3]{x}[/tex]

First f(x) is reflected across the x-axis.

The rule of this transformation (i.e. reflection) is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]f'(x) = -f(x)[/tex]

This gives

[tex]f'(x) =-\sqrt[3]{x}[/tex]

Next, f'(x) is translated 1 unit left

The rule of this transformation (i.e. translation) is:

[tex](x,y) \to (x+1,y)[/tex]

So, we have:

[tex]g(x) = f'(x+1)[/tex]

This gives

[tex]g(x) =-\sqrt[3]{x+1}[/tex]

Hence, the equation that represents g(x) is (c)

Read more about transformation at:

https://brainly.com/question/12619643

Answer 2

Answer:

Its D

Step-by-step explanation:

just did the quiz


Related Questions

calculate the area of the shape

Answers

Answer:

which shape tho and it's easy if there is more than one shape than find the formula for each shape and combine them!

Answer:

the formula for the rectangle is LxW or BxH (however your teacher taught it) which is just 4x15=60. The triangle is bxh÷2 which means 4x15=60 then 60÷2= 30. Add 30+60 which gives you Area=90formula for a circle πxr^2

The length of a rectangle is 5 less than
the width. Which polynomial describes
the area of the rectangle?

Answers

Answer:

Let length = x

Let width = x + 5

Let Area = A

A = x(x + 5)

A = x2 + 5x

What is the center of the circle shown below?

Answers

Answer:

L

Step-by-step explanation:

Here, we want to get the circle center

The diameter is a chord that passes through the center of the circle

looking at the given diagram, we can see chords SM and MN

Between this two, we can see that it is SM that passes through the center

Looking at the diagram, we can conclude that L is the circle center where the diameter SM passes

Help me pls quick with the right answer

Answers

Answer:

Yes

Step-by-step explanation:

Every time the sugar goes up by 1/3 or by three it keeps the same raito

use counters to add 2+ -1.​

Answers

Answer:

the answer is 1

Step-by-step explanation:

2+(-1)

2-1

1

+ and - always result in - so +(-1) is -1 and 2-1 is 1.

Answer:

1

Step-by-step explanation:

Negative 1 is used as a minus sign. I canceled the plus and now the equation is 2-1

Solve the equation. Round to the nearest thousandth.
[tex] - 5 + 2ln(3x) = 5[/tex]

Answers

Answer:

[tex] x \approx \: \boxed{49.471}[/tex]

Step-by-step explanation:

[tex] - 5 + 2In(3x) = 5 \\ 2In(3x) = 5 + 5 \\ 2In(3x) = 10 \\ In(3x) = \frac{10}{2} \\ In(3x) = 5 \\ \implies \: 3x = {e}^{5} \\ \implies \: x = \frac{ {e}^{5} }{3} \\ x = \frac{148.41316}{3} \\ x = 49.4710533 \\ x \approx \: \boxed{49.471}[/tex]

Answer:

x= e^ 5 / 3 OR 49.471

Step-by-step explanation:

-5=2In (3x)=5

determine the defined range

-5+2In (3x) = 5, x>0

move the constant to the right- move the five to the right and change the sign

2In (3x)= 5+5

calculate- add them together

2In (3x)=10

divide both sides by 2

In (3x)=5

covert into exponential form ( x=e^5)

3x= e^5

divide both sides by 3

x=e^5/3 , x> 0

(check if the solution is in the defined range) which is the answer

What's the area of the entire shape?

Answers

Answer:

30

Step-by-step explanation:

you need to multiply its length by its with

Can someone help me please

Answers

Answer:

yes what would u like help with

Earth is the third planet from the Sun, with an average distance of
93,000,000 miles. It takes light about 8 minutes to travel from the Sun
to Earth.
Pluto, a dwarf planet, has an average distance of 3.7 X10° miles
from the Sun. How many times farther from the Sun is Pluto than
Earth? How long does it take light to reach Pluto?

Answers

Answer:

The ratio of the distance of Pluto and the earth to the Sun is 40.

Time taken by light to travel from Sun to Pluto is 5.3 hours.

Step-by-step explanation:

Distance between Earth an Sun = 93,000,000 miles

Time from Sun to Earth = 8 minutes

Distance beteen Pluto and Sun = 3.7 x 10^9 miles

The ratio of the distance between Pluto and Sun to the Earth and Sun is

[tex]\frac{3.7\times 10^9}{93000000}\\\\=39.8 =40[/tex]

Now let the time taken by the light to move from Sun to Pluto is t.

[tex]\frac{93000000}{8}=\frac{3.7\times 10^9}{t}\\\\t =318.28 minutes = 5.3 hours[/tex]

if 1/3 of a number is added to 1/5 of the same number.the result is 8. find the number. I am​

Answers

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

What percentage of the data values falls between the values of 27 and 45 in the data set shown?
VX
25
30
35
40
45
50
25%
O 50%
оооо
O 75%
100%

Answers

Answer:

75%

Step-by-step explanation:

Looking at the plot, we can see that the number 27 represents the minimum value while the number 45 represents the upper quartile

Between the minimum value and the upper quartile, there is 75% of all the values on the plot

So, we can conclude that between the numbers 27 and 45, we have 75% of all the data values present.

Kindly note;

There are five points in a box plot

minimum

lower quartile (0-25%)

Median (0-50%)

Upper quartile (0-75%)

Maximum number (0-100%)

What is the solution of the following quadratic function?

Answers

there is no solution because the parabola does not touch the x-axis.
Hope this helps!!

Yk help me bru In the straight edge and compass construction of the angle bisector below which of the following reasons can be used to prove that angle DGB = angle EGB

Answers

Answer:

The correct Option is B

Step-by-step explanation:

Two Angles that are equal to the same angle must themselves be equal (Transitive property of equality)

BD = BE, because they are radii of the same circle. DG = EG because they are sides f equilateral triangle DEG. Therefore, the correct option is option A.

What is angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.

We refer to these as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves.

Angle can also refer to the size of such an angle or maybe a rotational angle. The length of such a circular arc divided by its radius is the traditional definition of this metric, which may also be signed. BD = BE, because they are radii of the same circle. DG = EG because they are sides f equilateral triangle DEG.

Therefore, the correct option is option A.

To know more about angle, here:

https://brainly.com/question/15277238

#SPJ7

which functions have a range of.. SELECT MORE THAN 1

Answers

Answer:

The 3rd and the 5th

Step-by-step explanation:

The graphs of the 3rd and the 5th functions are straight lines

The 1st and 2nd are parabolas

The 4th is an exponential

You must look at the graph: it shall include all the real values for the y coordinate

I really need help, please.

Answers

I gotchu :)
7.
y=118, z=15, because when 2 shapes are similar, the ratios of the sides relative to each other remain the same, and the angles also remain the same. This property can be used to solve the rest of the questions
8.
15*2/3=10
9.
Always
10.
Sometimes

if f(x)=3^x+10x and g(x)=5x-3, find (f-g)(x)

Answers

Answer:

[tex]3^x+5x+3[/tex]

Step-by-step explanation:

Given that,

[tex]f(x)=3^x+10x[/tex]

and

[tex]g(x)=5x-3[/tex]

We need to find (f-g)(x).

We know that,

(f-g)(x) = f(x)-g(x)

[tex]=3^x+10x-(5x-3)\\\\=3^x+10x-5x+3\\\\=3^x+5x+3[/tex]

So, the value of (f-g)(x) is [tex]3^x+5x+3[/tex].

Calculate the Kinetic Energy when the mass of the car is 1,200kg and the speed
is 11.11 m/s. ​

Answers

Answer:

74059.3 J

Step-by-step explanation:

KE = I/2mv²

KE = 1/2(1200)(11.11)²

KE = 1/2(1200)(123.4321)

KE = 74059.26 J

Answer

74059.26J

Explanation

Formula

EK=mv^/2

m=1200kg

v=11.11m/s

E=1200kg×(11.11m/s)^/2

E=74059.26J

Divisibility rules for 2, 5, and 10

Which numbers are divisible by 10?

A)222

B)185

C)847

or none of these

Answers

Answer:

none of these

Step-by-step explanation:

A number is divisible by 10 if the last digit of the number is 0. The numbers 20, 40, 50, 170, and 990 are all divisible by 10 because their last digit is zero, 0.

Math help please show work thanks

Answers

Answer:

The curve surface area(CSA) of a cylinder is 2πrh.

Since diameter=1.5 in.

          radius=diameter/2

                     =1.5/2 in.

                     =0.75 in.

And, the height of the bottle is 5 in.

Now,

CSA=2πrh

       =2π*0.75*5 in^2

       =15π/2 or 23.56 in^2

The size of the label needed to cover the entire bottle is 15π/2 or 23.56 in^2.

Write 2.073 in expanded form.

Answers

Answer:

2 + 0.0 + 0.07 + 0.003

Step-by-step explanation:

Pretty much just adding the whole number and decimal.

2 (whole number) + 0.073

Expanded forms require showing which place the numbers are in (i.e. 0.07 is the hundredths place)

A 12 pack of lemonade costs $5.40.how much do each lemonade costs?

Answers

Each lemonade costs about $2.22. You can achieve this answer by dividing 12 by 5.40.
You divide $5.40/ 12. It is 45 cents each

Please help need answer. NO LINKS

Answers

Answer:

Answer choice C) 3a-3

Step-by-step explanation:

Your perimeter is of (10a-6). The first step would be multiply 2a by 2 since you have to sides. Which would give you to 4a. Next you will have to subtract 4a from (10a-6). This would give you 6a-6. Finally divide by two and you will get 3a-3.

Solve the system of equations by graphing on a separate sheet of paper. Write your solutions as ordered pairs from least to greatest with respect to the x-coordinate.

y=x2+6x+4
y=x

Answers

Answer:

x= -2

y= -2

Step-by-step explanation:

y = 8x + 14

y = x

Now by subtraction of these two equation,

So 0 = 7x + 14

x = -2

y = -2

Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round to the nearest tenth.

Answers

Answer:

32.7 degrees

Step-by-step explanation:

The total exterior angle of any polygon is 360 degrees

Each exterior angle can be calculated by dividing this total by the number of sides

So we have each measure as 360/n

where n is the number of sides

here, we have n = 11

So we have each exterior angle as:

360/11 = 32.7 degrees

Answer:

40

Step-by-step explanation:

How do you solve x^2+5x-14=0

Answers

Answer:

x = -7 , x = 2

Step-by-step explanation:

[tex]x^2 + 5x -1 4= 0\\\\x^2 + 7x -2x - 14 = 0\\\\x(x + 7) -2(x + 7) = 0\\\\(x+7)(x-2) = 0\\\\x+ 7 = 0 , \ x - 2 = 0 \\\\x = - 7 , \ x = 2[/tex]

Answer:

x = - 7, x = 2

Step-by-step explanation:

Solve by factoring , that is

x² + 5x - 14 = 0

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2 , since

7 × - 2 = - 14 and 7 - 2 = + 5 , then

(x + 7)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

Two workers paint lines for angled parking spaces. One worker paints a line so that m∠1=65. The other worker paints a line so that m∠2=65. Are their lines parallel? Explain your answer.

Answers

The image of the car park showing the 2 angles is attached.

Answer:

Their lines are parallel.

Step-by-step explanation:

From the attached image, we can see that ∠1 and ∠2 form a pair of alternate exterior angles. Thus; ∠1 = ∠2.

Now since they are congruent, it means that their lines will be parallel.

Thus, we can conclude that their lines are parallel.

find the perimeter of this figure to the nearest hundredth. Use 3.14 to approximate π.​

Answers

Answer:

P = 40.56 ft.

Step-by-step explanation:

Answer:

40.56

Step-by-step explanation:

The radius of the circle is 7 cm. What is the area of the shaded part? Use π = 227​

Answers

Answer:

227 * 7^2

Put into calculator

Step-by-step explanation:

Area of a circle is pi * r^2 (pi times radius squared)

Just put the numbers in

227 * 7^2

Put into calculator and there you go

Find the perimeter of the given image. Round your answers to the
nearest tenth.

Answers

Answer:

52.6 mm

Step-by-step explanation:

split this figure and form one square and semi circle

for semicircle

radius = 4mm

find diameter

radius = diameter /2

4*2 = diameter

8 mm = diameter

now find perimeter of square

POS = 4l

=4*8

=32 mm

perimeter of semicircle= πr + 2r

=3.14^4 + 2*4

=12.56 + 8

=20.56 mm

area of the figure = perimeter of square + perimeter of semicircle

=32 + 20.56 mm

=52.56 mm

=52.6 mm

split ur figure as shown below

Answer:

28.6 (by the assumption that 4 is the radius)

Step-by-step explanation:

4 is the radius.

Circumference of a circle is  πd or  2πr

But its a semi circle so our equation will be  2πr/2 + d

So subsitute, 2* π*4/2 + 8

=8 π/2 + 8

=4 π + 8

=20.6

This is only the circumference of the semi-circle

Now for the square, perimeter is equal to 4*S

so from the equation above we know that the diameter is 8(d=2r). The diameter is also one side of the square. Since squares have all sides equal, 4*8= 32

Now add

32+20.6

52.6

Round

52.6

All this is on the assumption that 4 is the radius.

Please help I’ll give brainliest

Answers

It’s D if not I’m sorry
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