The function g(x) is a transformation of the cube root parent function,
f(x) = yx. What function is g(x)?
g(x)
5
f(x)
5
-5
A. g(x) = 47x
B. g(x) = x + 4
O c. g(x) = x +4
O d. g(x) = 1 va

The Function G(x) Is A Transformation Of The Cube Root Parent Function,f(x) = Yx. What Function Is G(x)?g(x)

Answers

Answer 1

Answer: Choice A

Explanation:

Notice that the point (1,1) is on the blue f(x) curve. Then it jumps to (1,4) on the black g(x) curve. This is a jump of "times 4".

So we can say,

g(x) = 4*f(x)

[tex]g(x) = 4*\sqrt[3]{x}[/tex]

This results in the g(x) curve being 4 times taller or 4 times more vertically stretched out compared to the f(x) curve.

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

Side notes:

Choices B and C handle vertical and horizontal translations (aka shifting) in that order.Choice D is the opposite of choice A, and it will apply a vertical dilation to vertically squish the blue curve to be even shorter than it shows.
Answer 2

The function g(x) is a transformation of the cube root parent function f(x) is [tex]g(x)=4\sqrt[3]{x}[/tex]. Therefore, option A is the correct answer.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Notice that the point (1,1) is on the blue f(x) curve. Then it jumps to (1,4) on the black g(x) curve. This is a jump of "times 4".

So we can say,

g(x) = 4f(x)

[tex]g(x)=4\sqrt[3]{x}[/tex]

This results in the g(x) curve being 4 times taller or 4 times more vertically stretched out compared to the f(x) curve.

Choices B and C handle vertical and horizontal translations (aka shifting) in that order.

Choice D is the opposite of choice A, and it will apply a vertical dilation to vertically squish the blue curve to be even shorter than it shows.

Therefore, option A is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

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Related Questions

One of the legs of a right triangle measures 9 cm and the other leg measures 2 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

Approximately 9.2

Step-by-step explanation:

For right triangle, if you know 2 sides, you can find the third using pythagorean theorem, a^2 + b^2 = c^2. 'a' and 'b' are the lengths of the legs, while 'c' is the hypotenuse. You can plug in what you know into this formula:

9^2 + 2^2 = c^2

81+4 = c^2

c = √85, or approximately 9.2

Help ME PLS IM FAILING PYTHAGOREAN THEOREM I NEED HELP NOW

Answers

Answer:

3.9

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse

7^2 + h^2 = 8^2

49 + h^2 = 64

h^2 = 64-49

h^2 = 15

Taking the square root of each side

sqrt(h^2) = sqrt(15)

h = 3.87298

To the nearest tenth

h = 3.9

(a+2b)^2
.............

Answers

Answer:

a^2 +4ab+4b^2

Step-by-step explanation:

(a+2b)^2

(a+2b)(a+2b)

FOIL

first: a*a = a^2

outer:  a*2b = 2ab

inner: 2b*a = 2ab

last: 2b*2b = 4b^2

Add them together

a^2 +2ab+2ab+4b^2

Combine like terms

a^2 +4ab+4b^2

Answer:

Solution given:

(a+2b)²

we have

by using formula

(a+b)²=a²+2ab+b²

so

we get

a²+2*a*2b+(2b)²

=a²+4ab+4b²

What is the product of the fractions below?

Answers

The answer to this question is c because you add the numerator and you times the denominator!

Answer:

B

Step-by-step explanation:

6/11 * 7/3 = 6*7/11*3 = 42/33

We can simplify this by dividing both by 3.

42/3 = 14

33/3 = 11

So we get 14/11

A rectangular swimming pool has length 15w - 1 feet and width 9w + 2 feet. Find the perimeter of the pool.​

Answers

Answer:

48w +2

Step-by-step explanation:

Perimeter of a rectangle=2( length+width)

=2(15w-1+9w+2)

=2(24w+1)

=48w+2

Convert 5700 milligrams into pounds. Round your answer to the nearest hundred

Answers

Answer:

It should be 0.012566 rounded

Step-by-step explanation:

Answer:

0.01 pounds

Step-by-step explanation:

A milligram is approximately 2.2046e-6 pounds (which is really small), so 5700 milligrams is around 0.012566 pounds. Also, did you mean "hundredth"?

WHATS YOUR TIKTOKKK OMG I WANT MUTUALS

Answers

seth2cold let’s be moots

An internet company reported that its earnings will be less than the 24 cents per share that was predicted

Answers

Answer:

p < 0.24

Step-by-step explanation:

If earning is 24% less Than predicted, this means that the we can represent the predicted earning with a variable, p

If the predicted earning = p

Then, the actual earning can be represented by the inequality ; p < 24%

p < 0.24

convert 72° into grades.

Answers

Answer:

[tex]72in \: grades = > 1degree = \frac{10}{9} \times 72 \\ 72degree = \frac{10}{9} \times 72grades \\ 7degre = 80grades \\ thank \: you[/tex]

A. Find x
B. Find the measure of angle b
C. Find the measure of angle c

Answers

Answer:

3, 50 and 70

Step-by-step explanation:

Using exterior angle property, we have 15x+5+22x+4=120, 37x+9=120. x=3

B=15x+5=50

C=22x+4=70

Find the angle between the hands of a clock at 5:15

Answers

Answer:

67.5

Step-by-step explanation:

Answer:

the hour hand and minute hand on a 12-hour clock at 5:15. Again, the two angles created by the hour hand and minute hand at five-fifteen are 292.5 degrees and 67.5 degrees.

Step-by-step explanation:

Help !

1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are
green and 4 pencils are brown

a. If a pencil is picked at random, what is the probability that the pencil
will be orange?
b. If a pencil is picked at random, what is the probability that the pencil
will be green?

c. If a pencil is picked at random, what is the probability that the pencil will be red?

d. If a pencil is picked at random, what is the probability that the pencil
will be brown?

e. If a pencil is picked at random, what is the probability that the pencil
will be brown or red?

Answers

Answer:

a. p(orange) = 5/14

b. p(green) = 3/14

c. p(red) = 1/7  

d. p(brown) = 2/7  

e. p(brown or red) = 3/7

Step-by-step explanation:

1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are green and 4 pencils are brown.

p(color) = (number of pencils of that color)/(total number of pencils)

p(color) = (number of pencils of that color)/14

a. If a pencil is picked at random, what is the probability that the pencil

will be orange?

p(orange) = 5/14

b. If a pencil is picked at random, what is the probability that the pencil

will be green?

p(green) = 3/14

c. If a pencil is picked at random, what is the probability that the pencil will be red?

p(red) = 2/14 = 1/7

d. If a pencil is picked at random, what is the probability that the pencil

will be brown?

p(brown) = 4/14 = 2/7

e. If a pencil is picked at random, what is the probability that the pencil

will be brown or red?

brown: 4

red: 2

brown or red: 4 + 2

p(brown or red) = 6/14 = 3/7

The function fx) = 5 reflected over the y-axis. Which equations represent the reflected function? Select two

Answers

Answer:

y=5

Step-by-step explanation:

f(x) =5 is a line with the equation y=5

when reflected over the y-axis is still y= 5, because we reflected on to itself.

Is {3,…} a defined set

Answers

Answer:

No it is not a collection of well defined and distinct objects

Hope this helps <3

Keisha has completed 72 math problems in her SHSAT practice workbook. This is 24% of the total number of math problems in the workbook. How many math problems are in the workbook?

Answers

Answer:

300

Step-by-step explanation:

Just because it makes sense.

Answer:

300

Step-by-step explanation:

Just because it makes sense. and you would get the answer that i did as well

I NEED HELP QUICK PLEASE! D:
Jamie is taking the tests needed to join the math group. His scores were 89, 92, 94. What's the lowest score he can get on the fourth test and still have a 90 average?

Answers

It would have to be 85

Answer:

85

Step-by-step explanation:

(89+92+94+ x)/4>90

(275+x)/4>90

275+x>90

x> 85

please help me!!

how many times does 10% go into 34,950,101?

Answers

Answer:

10

Step-by-step explanation:

If you multiply 10% of 34,950,101 by 10, you will get the value of 34,950,101.

34950101÷10%
=34950101÷10/100
=34950101×100/10
=34950101×10
=349501010

Hope my answer helped u :)

The probability of winning a card game is an example of theoretical probability.
True or False

Answers

Answer:

nice answer

Step-by-step explanation:

true because there is every assurance that you might lose or win

ASAP 10 POINTS
Using the same application you used in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise. Finally, translate it down to 2 units. What is the relationship between the original line segment and the transformed line segment? If you transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?

Answers

It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.

How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?

Let the point be having coordinates (x,y).

If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

It is given that in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise.

Also No effect as we assumed rotation is being with respect to origin.

Finally, translate it down to 2 units.

Therefore, It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.

Learn more about rotation of a point with respect to origin here:

https://brainly.com/question/18856342

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Consider the function ƒ(x) = x2. Which of the following functions shifts ƒ(x) downward 5 units and to the right 3 units?


A)

ƒ(x) = (x – 5)2 – 3

B)

ƒ(x) = (x – 3)2 – 5

C)

ƒ(x) = (x + 3)2 – 5

D)

ƒ(x) = (x – 5)2 + 3

Answers

Answer:

B

Step-by-step explanation:

f(x)=(x+3)2 3 units to the left

f(x)=(x-3)2 3 units to the right

f(x)=(x)2+5 upward 5 units

f(x)=(x)2-5 downward 5 units

Combine and simplify these radicals. 160 40

I AM TIMED!!!

Answers

Answer:

200

hope it help

Answer:

160

Step-by-step explanation:

got it right

Is 100.1 rational or irrational

Answers

Answer:

It's rational number

Step-by-step explanation:

if a number is non stop it is irrational

it a number stops as it stopped here at 1 so it's a rational number

Answer:

Rational

Step-by-step explanation:

It's a decimal with no recurring digits:)

-32=8n I need help please

Answers

Answer:

n = -4

Step-by-step explanation:

-32=8n

Divide each side by 8

-32/8 = 8n/8

-4 = n

A N S W E R :

- 32 = 8n

Cross multiplying we get

n = -32/8

n = -4

Henceforth, the required solution is -4

The domain of a function can be represented by which one of the following
options?
A. a set of F(x) values
B. a set of both input and output values
C. a set of input values
D. a set of output values

Answers

Answer:  C. a set of input values

The domain is the set of allowed x values, aka input values.

With fairly many domain problems, one thing to look out for are things like potential division by zero issues. For example, if you had the function f(x) = 2/(x-3), then we want to avoid the denominator x-3 from being zero. Because x = 3 makes x-3 equal to zero, this means we must kick x = 3 out of the domain; however, any other real number will work. This example function therefore has the domain of any real number but 3.

Square roots are another thing that often comes up with domain problems. One example could be g(x) = sqrt(x+5). We'd want the x+5 to never be negative. Solving [tex]x+5 \ge 0[/tex] leads to [tex]x \ge -5[/tex] to tell us what set of input x values we can plug in: namely anything -5 or larger.

Other types of domain problems can occur, but those two types are most common in my experience.

The set of whole numbers and their opposites are known as ?

Answers

The set of whole numbers and their opposites are known as INTEGERS.

Solve for U 11+15u=-7+13u
Help fast please

Answers

Answer:

-9

Step-by-step explanation:

11+15u=-7+13u

or, 15u-13u = -7-11

or, 2u = -18

or, u = -9

Answered by GAUTHMATH

find the missing side lengths​

Answers

Answer:

Step-by-step explanation:

Because it is a 45-45-90 triangle

b=5

a= 5[tex]\sqrt{2}[/tex]

Can someone give me the answer asap thanks.

Answers

D. 2x⁶y²

This is the equivalent expression.

It’s d !!!!!!! !!!!! !!!! Ya hurddd

Find the length of the third side. If necessary, round to the nearest tenth.
20
28
Answer:
Submit Answer
attempt 1 out of 2
PLS HELP ASAP

Answers

Answer:

b = 19.6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

20^2+ b^2 = 28^2  

400 + b^2 = 784

b^2 = 784-400

b^2 =384

Taking the square root of each side

sqrt( b^2) = sqrt(384)

b =19.59591794

To the nearest tenth

b = 19.6

Answer:

19.6

Step-by-step explanation:

It is a right triangle so use the pythagorean theorem; a^2 + b^2 = c^2

a=20

b=?

c=28 - c is the hypotenuse because it is across from the right angle

20^2 + b^2 = 28^2

400+ b^2 =784

b^2=384

b= 19.595917... or 19.6 (rounded to nearest tenth)


I’ll give brainlist to whoever is right!!!

Answers

Answer:  Choice C

(-19/2, -33/2)

=========================================================

Explanation:

We'll plug the second equation into the first one

In other words, we'll replace every copy of y with 3x+12 and solve for x

This is an example of the substitution rule.

x-y = 7

x-( y ) = 7

x - (3x+12) = 7

x - 3x - 12 = 7

-2x - 12 = 7

-2x = 7+12

-2x = 19

x = -19/2

Based on this alone, we can see the answer must be choice C. No other answer choice has this x coordinate.

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

If you want to find y based on this x value, then,

y = 3x+12

y = 3(-19/2)+12

y = -57/2 + 12

y = -57/2 + 24/2

y = (-57+24)/2

y = -33/2

This fully confirms choice C is correct.

So we have x = -19/2 and y = -33/2 pair up to get us (-19/2, -33/2)

In decimal form, this would be (-9.5, -16.5)

Answer:

3. (-19/3, -33/2)

You have to make a equation system :

[tex]\left \{{{x - y = 7} \atop { y = 3x + 12}} \right. <=> \left \{{{y = x - 7} \atop { y = 3x + 12}} <=> x-7 = 3x + 12 <=> 3x -x = -7 - 12 <=>[/tex] [tex]2x = -19 <=> x = -19/2[/tex]

Replacing x=-19/2 in the first equation (it's the easiest to solve) :

[tex]y = -19/2 - 7 <=> y =-19/2- 14/2 <=> y = -33/2[/tex]

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