Mathematics High School

f(x) = x2 What is g(x)?
5+
[f(x)
V
g(x)
(3, 3)
-5-
A. g(x) = 6x2
O B. 90%)-

Answers

Answer 1

Given:

The parent function is:

[tex]f(x)=x^2[/tex]

The graphs of f(x) and g(x) are given.

The graph of g(x) passes through the point (3,3).

To find:

The function g(x).

Solution:

From the given graph, it is clear that the graph of f(x) compressed vertically to get the graph of g(x). So,

[tex]g(x)=kf(x)[/tex]

Where, k is the stretch factor.

It can be written as:

[tex]g(x)=kx^2[/tex] ...(i)

The graph of g(x) passes through the point (3,3). Putting [tex]g(x)=3,x=3[/tex] in (i), we get

[tex]3=k(3)^2[/tex]

[tex]3=k(9)[/tex]

[tex]\dfrac{3}{9}=k[/tex]

[tex]\dfrac{1}{3}=k[/tex]

Putting [tex]k=\dfrac{1}{3}[/tex] in (i), we get

[tex]g(x)=\dfrac{1}{3}x^2[/tex]

Therefore, the correct option is D.

Related Questions

Help please I keep missing the middle one

Answers

W= 15, like it says. So now you fill in the equation for Tuesday. 1/3 of 15 is 5. Then you add Monday and Tuesday, which is 9. Then you subtract that from 24, which is 15.

Answer:

4 + (1/3)w + w = 24

subtract 4 from both sides

(1/3)w + w = 20

multiply both sides by 3 to clear the fraction

w + 3w = 60

4w = 60

Divide both sides by 4

w = 15

Need help with this ASAP! THANKS

Answers

For my work I got

A I hope it’s not wrong

Construct a 135° Angle
Now, provide the step - by - step instructions that you devised to create your own construction.

*WILL GIVE BRAINLIEST*

Answers

Answer: This would be how I would do it, so the answer might vary from what the teacher wants.

A 135 degree angle is a 90 degree plus 45 degree. So I would first draw a straight line, then divide the line into two 90 degree angles with a perpendicular bisector. Then I would draw a line dividing one of those 90 degree angles into two 45 degree angles. Now I would erase the middle line and now you have a 135 degree angle hint 90 + 45.

Step-by-step explanation:

Answer:

Step-by-step explanation:

90 ° + 45° = 135°

please help me out here. I know the answer but I don't know what the radical is

Answers

Answer:

Step-by-step explanation:

There is no radical it's just 9

use the diagram to find the value of x

Answers

Answer:

Step-by-step explanation:

18x = 12(x+2)

18x = 12x+24

18x-12x = 24

6x = 24

x = 4

Which sequence is arithmetic? A- 2,6,18,54... B- 3,6,12,24... C- 11,14,17,20... D- 7,11,13,18

Answers

I think B. 3,6,12,24 is the answer

Answer:

Step-by-step explanation:

the pattern is add 3

11 + 3 = 14

14 + 3 = 17

17 + 3 = 20

if a = 8 + 3 root 7 and b = 1/a find a^2+b^2

Answers

Answer:

317.49508~317.50

Step-by-step explanation:

a=15.937253933193771

b=7.9686269665968858

a²+b²=(15.937253933193771)²+(7.9686269665968858)²

=(253.99606)+(63.49902)

=317.49508

Which ones are parallel?

Answers

the answer is : a||b

Answer:

a║b

Step-by-step explanation:

need help with this Q&A

Answers

Answer:

the second option

y = (-1/2)x + 11

Step-by-step explanation:

x = 2

y = (-1/2)×2 + 11 = -1 + 11 = 10

the same as the table.

x = 4

y = (-1/2)×4 + 11 = -2 + 11 = 9

the same as the table.

x = 6

y = -3 + 11 = 8

the same as the table.

x = 8

y = -4 + 11 = 7

the same as the table.

Who wants to help me

Answers

Answer:

Step-by-step explanation:

PLEASE HELP
Write an equation of a line that passes through (3, -1) and is parallel and perpendicular to y = 6x - 4

the first person to get this will get all 60 points and brainliest

Answers

Answer:

x + 6y = -3

Step-by-step explanation:

Explained in the paper.

The product of 5 and y is equal to 45.
need help

Answers

Answer:

y is -4.55

Step-by-step explanation:

Answer:

9 would be the correct solution to this question?

can somebody please help me like neowwwww!!!!

Answers

--Answer--

The second one, fourth, and fifth.

--Explanation--

1. - 6.283...

2. 7.142...

3. 6.928...

4. 7.483...

5. 7.874...

Help me which one is correct?

Answers

Answer:

here is the answer bae. Feel free to ask for more

Answer: -m3+m2

Step-by-step explanation: 2m2-[m2(7m-)]6m2

2m2-7m2-m3+6m2

-m3+m2

Determine the value of c that makes the function f(x y) = c/x-y/ a joint discrete probability density function for x=2,0,2 and y=-2,3

Answers

Given: The given function is

[tex]f(x,y)=c(x-y)[/tex]

To find: Here we need to find the value of c for which f(x,y) will be a joint

discrete probability density function.

Solution:

Now, to find c we have,

[tex]\int\limits^3_{-2} \,\int\limits^2_0 {f(x,y)} \, dx dy\\=\int\limits^3_{-2} \,\int\limits^2_0 {c(x-y)} \, dx dy\\\\=\int\limits^3_{-2} \,[2c-2cy]dy\\=10c-5c\\=5c\\The integral should be1.\\So, 5c=1\\[/tex]

∴[tex]c=\frac{1}{5}[/tex]

Therefore, the required value of c is 1/5.

Write an equation in slope-intercept form for the line with slope 5 and y-intercept -2.

Answers

Answer:

y = 5x - 2

Step-by-step explanation:

pls help i will give brainliest

Answers

Answer:

XOC = 60

Step-by-step explanation:

AOC = DOB because they are vertical angles

AOX+XOC = 25+45

10+XOC = 70

XOC = 70-10

XOC = 60

please answer fast pls .................

Answers

Answer:

Step-by-step explanation:

Kunal Sagar

12 10 -6 years before is 6:5

18 16 -Now

22 20 - 4 years in the future at 11:10

So it all works out :)

state what region A represents.

Answers

Answer:

Region A represents the solution to the system of inequalities.

please help me out in this account question I have exams tomorrow I have linked the question here

Answers

Answer: 70,900 Rs

Step-by-step explanation:

8400

8000

2000

10000

40000

3000

+ 500

71900

- 1000

70900

= 70,900 Rs

Mrs. Jeffers bought 3 ¼kg of caramels and 2½ of chocolate. How many kilograms of candy did she buy altogether?

Answers

the answer is: 5 and 3/4 kilogram

HELP PLEASE!! HURRY!!!! NO SPAM!!!!!! Identify the solution set of the inequality 4|f + 6| ≤ −16 and the graph that represents it.

Answers

Answer: f=3

Step-by-step explanation:

The intervals means that angle f is between the quadrant 1.

where x+y=90

Please help me with this question please!!!

Answers

A = x * x = x^2

B = 6 * x = 6x

C = 8 * x = 8x

D = 6 * 8 = 48

So the area of the whole shape is each side added up then multiplied to give (x+6)(x+8) =

x^2 + 14x + 48

PLEASE HELP: Click on the graph to choose the correct answer to the equation.

y > 2

(Choose one of the graphs from the image as the answer)

Answers

Answer:

The 8th graph.

Step-by-step explanation:

It has a horizontal line over two which indicates that the y axis is known and over 2.

The required graph of the given inequality y > 2 is shown in the attached file, which is the correct answer that would be an option (H).

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been the given inequality y > 2

Plot the "y=" line (a solid line for y or y, and a dashed line for y or y>). The shade above the line for a "greater than" (y> or y), or below the line for a "less than" (y or y).

It has a horizontal line over two which represents that the y-axis is known and over 2 in the attached graph.

Therefore, the required graph of the given inequality y > 2 is shown in the attached file.

Hence, the correct answer would be option (H).

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

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

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)

Answers

Answer:

yes

Step-by-step explanation:

[tex]18x^6 + 5y^6 \ cannot\ be \ factorized \ further. \\\\So \ it \ is \ a \ prime\ polynomial.[/tex]

The mean absolute deviations for two sets of data are shown. The data points in Set 1 are more the mean than the points in Set 2 because the mean absolute deviation is .

Answers

Answer:

The data points in Set 1 are more spread out than the points in Set 2 because the mean absolute deviation of set 1 is larger.

Step-by-step explanation:

Given

Mean absolute deviations of set 1 and 2

Required

Complete the gap

From the complete question, we have that:

set 1 has a larger mean absolute deviation than set 2

This means that:

The dataset of set 1 is more spread out than that of set 2

The reason for this is that:

set 1 has a larger mean absolute deviation

A scientist is growing two species of bacteria. She defines a variable t that represents the number of days after the growth begins. The number of bacteria after t days is defined by: Species A: y=1000∙2^(t/3)
Species B: y=1000∙2^3t
(a) how many bacteria does each species start out with?

Answers

i want to know the answer

Number of bacteria each species start out with for the given exponential growth function is equals to 1000.

What is exponential growth function?

" Exponential growth function is defined as the the process of the increment in the initial quantity over the period of time 't'."

Formula defined

Exponential model

[tex]y =y_{0} e^{kt}[/tex]

[tex]y =[/tex]growth in the quantity

[tex]y_{0}[/tex] = initial quantity

[tex]k=[/tex] exponential growth

[tex]t=[/tex] time taken to grow

According to the question,

Given exponential function,

For Species A : [tex]y=1000 (2^{\frac{t}{3} } )[/tex]

For Species B : [tex]y=1000 (2^{3t} )[/tex]

't' represents the number of days after the growth begins

a. For the given condition of the exponential growth function ,

t = 0 when species start out with

For species A

[tex]y=1000 (2^{\frac{0}{3} } )[/tex]

⇒ [tex]y=1000[/tex]

For species B

[tex]y=1000 (2^{3(0) } )[/tex]

⇒ [tex]y=1000[/tex]

Hence, number of bacteria each species start out with for the given exponential growth function is equals to 1000.

Learn more about exponential growth function here

https://brainly.com/question/11487261

#SPJ2

what are the steps to this problem?

Answers

angles b and the angle that measures 68° are complimentary angles so they add up to 180°. angle b would be 112°.

20x + 8y= 500 solve for x and y

Answers

5x+2y-125=0…………………………

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f(x) = x2 What is g(x)? 5+ [f(x) V g(x) (3, 3) -5- A. g(x) = 6x2 O B. 90%)-

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f(x) = x2 What is g(x)?
5+
[f(x)
V
g(x)
(3, 3)
-5-
A. g(x) = 6x2
O B. 90%)-