The functions ) and g(x) are shown on the graph.
Rx) = x2
What is g(x)?
g(x) (2, 12)

The Functions ) And G(x) Are Shown On The Graph.Rx) = X2What Is G(x)?g(x) (2, 12)

Answers

Answer 1

Given:

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

The function f(x) is given by:

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

The graph of g(x) passes through the point (2,12).

To find:

The function g(x).

Solution:

From the given graph it is clear that the vertex of both function f(x) and g(x) is at (0,0). It means the graph of f(x) is not translated. It means the graph of f(x) is only vertically stretched to get the graph of g(x). So,

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

Where, k is the stretch factor.

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

The graph of g(x) passes through the point (2,12). Putting [tex]x=2, g(x)=12[/tex], we get

[tex]12=k(2)^2[/tex]

[tex]12=k(4)[/tex]

[tex]\dfrac{12}{4}=k[/tex]

[tex]3=k[/tex]

Putting [tex]k=3[/tex] in (i), we get

[tex]g(x)=3x^2[/tex]

Therefore, the correct option is A.


Related Questions

QUESTION 2 PLEASE HELP ME!!!

Answers

Answer:

Look it up up

Step-by-step explanation:

PLEASEEEE HELPPP MEEE.
DUE RIGHT NOW!!

Topic: Math
Solve all the questions

Answers

Answer:

1. x= 9

2. x= −2

3. 51 inches

4. $213.11 each month

Step-by-step explanation:

1. Simplify both sides of the equation.

x + 7 + 7x= 25 + 6x

Combine Like Terms

(x + 7x) + (7)=6x + 25

8x + 7= 6x + 25

8x + 7= 6x + 25

Subtract 6x from both sides.

8x + 7 − 6x= 6x + 25 − 6x

2x + 7= 25

Subtract 7 from both sides.

2x + 7 − 7= 25 − 7

2x= 18

Divide both sides by 2.

2x/2= 18/2

2.  Subtract 5x from both sides.

x − 5x= 5x + 8 − 5x

−4x= 8

Divide both sides by -4.

−4x/−4= 8/−4

3. First find the perimeter of the trapezoid

4 + 3 + 4 + 8= 19

A square has all equal sides

8 * 4= 32

Add them together

19 + 32 = 51 inches

4. Subtract the amount she put for finance from the total

1598.66 - 320 = 1278.66

Then divide that amount by the 6 months

1278.66 divided by 6 = 213.11

$213.11 each month

The measure of L in triangle LMN is 36°. The measure of M is 75°. What is the measure of N? PLEASE HELP
A.
111°
B.
39°
C.
69°
D.
249°

Answers

Answer:

C.    m∠N = 69°

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180.

m∠L + m∠M + m∠N = 180

36 + 75 + m∠N = 180

111 + m∠N = 180

m∠N = 69°

An equation is shown.
x^3 = 125
What are all the possible values of x?

A. -5 only
B. 5 only
C. -5 and 5
D. 5 and 25

Answers

Answer:

the answer is C

Step-by-step explanation:

the answer is C

Can someone help out?​

Answers

Answer:

CD= 6

Step-by-step explanation:

lmk if im wrong or not :)

Answer:

CD = 6

Step-by-step explanation:

AE is equal to 12.5 and the length of the like excluding CD is 6.5 so CD is 6.

2.5 + 2 + 2 = 6.5

12.5 - 6.5 = 6

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

i think c. y= 4(3)^x

Step-by-step explanation:

let me know if this is incorrect

Answer:

your answer is the last one!

Step-by-step explanation:

Have good day

please help i’ll give brainliest!!! thanks

Answers

Believe is the silk road

Answer:

A the silk road.

Step-by-step explanation:

The transmission of Buddhism to China via the Silk Road started in the 1st century CE with a semi-legendary account of an embassy sent to the West by the Chinese Emperor Ming (58–75 CE). The first missionaries and translators of Buddhists scriptures into Chinese were either Parthian, Kushan, Sogdian or Kuchean.

5. When using substitution in the system of equations, what is the resulting equation?
y=-3x + 5
5x – 4y=-3
a. 5x – 4(-3x+5)=3
b. 5(-3x+5) – 4y =-3
c. y=-3(5x – 4y) + 5
d. – 3x + 5 = 5x – 4y =- 3

Answers

Answer:

The answer is "a" 5x-4(-3x+5)=-3

what is the correct solution? from the graph ( x , y )​

Answers

Well if it is the point where the two lines intersect then it is (2,3)

Solve 2x + 5 = 12 please

Answers

Answer:

[tex]x = \frac{7}{2}[/tex]

Step-by-step explanation:

move all the terms that don't contain x to the right side and solve.

¯\_(ツ)_/¯

If 4 + 5x = 11 + 4x, then 2x =____?


Answers

Answer is 6
Explanation find x in equation given
As x =6
2x=6/2
= Final answer is 3

-20-20+15
Help pleaseeee

Answers

Answer:

-25

Step-by-step explanation:

hope this helps

Answer:

-25

Step-by-step explanation:

-20-20 is -40.

-40+15 is -25

Hope this helps

What is the length of the hypotenuse

Answers

Answer:

C=17

Step-by-step explanation:

15^2+8^2=c^2

C^2=289

C=17

The hypotenuse is 17cm you find it by using Pythagorean’s Theorem

Solve the triangle: α = 65°, β = 100°, γ = 15°

Answers

Answer:

a scalene triangle?

Step-by-step explanation:

Which value is the solution to the equation -8 = 6 - 7x?
A. -7
B. - 2
C. 2
D. 5​

Answers

Step-by-step explanation:

the answer is c: 2..............

The two-way frequency table shows the laptop color preferences, for a random sample of high school students. Which statement is correct? Select one:

O Most males preferred black laptops.

O Most females preferred black laptops.

O Red was the least preferred color for a laptop, amongst male high school students surveyed.

OBlack was the most preferred color for a laptop, amongst all high school students surveyed.​

Answers

Answer:

Most males preferred black laptops

Step-by-step explanation:

Solve for x in the diagram below.

Answers

Step-by-step explanation:

x+(3x+10)=90

4x+10=90

4x=80

x=20 Ans


A. 65
B. 30
C. 10
D. 50

Answers

Answer:

50

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

D. 50

Step-by-step explanation:

∠CGF and ∠AFG add up 180° because they are same side interior angles. We can write an equation to model the situation:

m∠CGF + m∠AFG = 180°

And, we can substitute:

3x - 20 + x = 180

4x - 20 = 180

4x = 200

x = 50

Which figure does not show symmetry?
A.
B.
C.
D
E.

Answers

It is C. It is not possible to fold the shape about a line so that the two halves fit exactly on to of one another.
C is not symmetry
B is
D is
E is
And a

There is a bag of marbles that contains 4 blue marbles, 3 red marbles, 2 green marbles, and 1 brown marble. If one was picked at random, not replaced, and another was picked, what is the probability of both marbles selected to be blue?

Answers

Answer:

2/15

Step-by-step explanation:

4/10 * 3/9 = 12/90 = 2/15

judy tosses a coin 3 times. how many different outcomes are there?

Answers

Answer:

i can't understand your question is

Answer:

I believe the answer would be 8 if not try 27

PLEASE HELP WILL MAKE BRAINLIEST!
The following cone has a height of 4 inches and a volume of 12π. What is the radius of the cone? Enter your answer as the correct value, rounded to the nearest tenth if necessary.​

Answers

Answer:

R= 1.69

Step-by-step explanation:

For this, you just have to remember that the volume of a cone is 1/3hπr² (1/3 times pi times the radius squared). Our volume is 12π, so we plug in 12π into our formula, as well as our height of 4 inches, to solve for the radius, like so:

12π=(1/3)(4)πr²

Now we just do the rest of the math.

12π=(1/3)(4)πr²

12=(1/3)(4)r² (divide both sides by π)

3=1/3r² (divide both sides by 4)

9=r² (divide both sides by 1/3)

3=r (take the square root of both sides).

Therefore, the radius of the cone is 3.

DOES ANYONE KNOW HOW TO DO THESE???

Answers

Answer:

Step-by-step explanation:

7. The horizontal translation is 3 units to the right, this is determined by the value that is being added or subtracted to x directly. In this case, x is being subtracted by 3 meaning that it is translated 3 units to the right.

8. It is being translated 2 units up. This is determined by the number that is added to the quadratic equation. In this case, it is increased by 2 which means an upward translation. If it was being subtracted it would be a downward translation.

9. Yes, when a quadratic equation has a negative sign outside of it which changes its values it means that it is being reflected.

1) 17, 29, 32, 9, 30, 14, 8, 39, 11, 32, 23
Minimum :
Maximum:
Q1:
Q2:
Q3:

Answers

Answer:

Minimum: 8

Maximum: 39

Q1: 11

Q2: 23

Q3: 32

Step-by-step explanation:

Set the numbers into numerical order

8 9 11 14 17 23 29 30 32 32 39

Then separate into quarters

[8 9 11] [14 17 23] [29 30 32] 32 39

3
What is the difference of
21
?
4

Answers

Answer:

The difference is 4–3. If you want the difference between 3 and -4, then the difference is 7.

Step-by-step explanation:

The volume of a cone is
42in ^ 3 and the cone's base area is 9in ^ 2
What is the height of the cone ?

Answers

Answer: The answer is 0.495

Step-by-step explanation: I got this answer from a volume calculator, I just looked it up on the internet. Hoped this helped!

Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.

Answers

B c and f because each can go into each one

Answer:

1 : root(3)

root(3) : 3

3 : 3root(3)

or

B, F, D

Step-by-step explanation:

ABCD is a rhombus. The diagonals intersect at point E. If angle CDB= 6x and angle ACD= 2x+10, find x.

Answers

Answer:

x = [tex]10^{o}[/tex]

Step-by-step explanation:

The diagonals of a rhombus are perpendicular to each other, thus the angle at point E is [tex]90^{o}[/tex]. So that ΔCED is a right triangle, and that;

<CDB = <CDE

<ACD = <ECD

<CDE + <ACD + <CED = [tex]180^{o}[/tex] (sum of angles in a triangle)

6x + (2x + 10) + [tex]90^{o}[/tex] = [tex]180^{o}[/tex]

8x + 100 = [tex]180^{o}[/tex]

8x = [tex]180^{o}[/tex] - 100

8x = 80

x = [tex]\frac{80}{8}[/tex]

  = [tex]10^{o}[/tex]

Thus, the value of x is [tex]10^{o}[/tex].

Please help me I don't want to fail my AP class, if you could guide me for the couple steps that would be great.

Answers

Answer:

[tex]\frac{x-2}{x-1}[/tex] or [tex]1 - \frac{1}{1-x}[/tex]

Step-by-step explanation:

[tex]\frac{x^{2} -x-2}{x^{2} -2x+1}[/tex] * [tex]\frac{x-1}{x+1}[/tex] =

[tex]\frac{(x-2)(x+1)}{(x-1)^{2} }[/tex]* [tex]\frac{x-1}{x+1}[/tex] =

[tex]\frac{x-2}{x-1} * 1[/tex] = [tex]\frac{x-2}{x-1}[/tex]

If you want to simplify even more:

[tex]1 - \frac{1}{1-x}[/tex]

Leila is at a charity fundraiser and has a chance of receiving a gift 6/17 . The odds in favor of receiving a gift are . Find the probability of Leila receiving a gift.

Answers

Answer:

6 / 23

Step-by-step explanation:

The question is not correct, the correct question is:

Leila is at a charity fundraiser and has a chance of receiving a gift. The odds in favor of receiving a gift are 6:17. Find the probability of Leila receiving a gift.

Solution:

Odds provide a measure of the likelihood of a particular outcome occurring. Odds is the ratio of the number of events that produce that outcome to the number that do not.

The probability of an event occurring is the ratio of number of favorable outcomes to the total number of outcomes possible.

Given that the odds in favor of receiving a gift are 6:17. Therefore:

number of favorable outcome = 6, number of unfavorable outcome = 17

Total number of possible outcomes = 6 + 17 = 23

The probability of Leila receiving a gift = number of favorable outcome / Total number of possible outcomes  = 6 / 23

The probability of Leila receiving a gift = 6 / 23

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