the function g(x) is a transformation of the quadratic parent function, f(x) = x^2. What function is g(x)

The Function G(x) Is A Transformation Of The Quadratic Parent Function, F(x) = X^2. What Function Is

Answers

Answer 1

Answer:

Option (C)

Step-by-step explanation:

Quadratic parent function has been given as,

f(x) = x²

If we reflect this function across the x-axis and vertically stretched by a scale factor of 'k',

g(x) = -kx²

This quadratic function passes through a point (1, -4),

g(1) = -k(1)²

-4 = -k

k = 4

Therefore, the new function after transformation will be,

g(x) = -4x²

Option (C) will be the correct option.  

Answer 2

The function g(x) is [tex]\rm g(x) = -4x^2\\[/tex].

Given that,

The function g(x) is a transformation of the quadratic parent function,

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

We have to determine,

What function is g(x)?

According to the question,

The function f(x) is a transformation of the quadratic parent function,

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

In the given figure the function g(x) reflect across the x-axis and is vertically stretched by a scale factor of 'k',

Then, The function g(x) is,

[tex]\rm g(x) = -kx^2[/tex]

Therefore,

The quadratic equation passes through the point (1,4),

[tex]\rm g(x) = -kx^2\\\\g(1) = -k(1)^2\\\\-4 = -k\\\\k= 4[/tex]

Therefore,

The function g(x) is,

[tex]\rm g(x) = -kx^2\\\\g(x) = -4x^2[/tex]

Hence, The required function g(x) is [tex]\rm g(x) = -4x^2\\[/tex].

For more details refer to the link given below.

https://brainly.com/question/411998


Related Questions

what is it in simplist form 4/15+1/9

Answers

4/15 + 1/9 = 12/45 + 5/45 = 17/45

how do you explain division in an easy way? ​

Answers

The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing. The division is an operation inverse of multiplication.

(x - 3y)(2x + 7y)

What is the answer?

Answers

Answer:

Your answer is: 2x^2+xy-21y^2

Step-by-step explanation:

Hope this helped : )

Kevin, the pharmaceutical salesman, receives
$510 per month base pay plus 6% commission.
In 2 months, after touring a metropolitan area,
He had sold $260,000 in pharmaceuticals.
How much did he make in the two-month period?

Answers

Answer:

16,620

Step-by-step explanation:

so we have 510(2 months)+(260,000x0.06%) = 16,620

please mark as brianlest.

Fluency:

Solve the equation



x + 24= 36 x=?

Answers

Answer:

x=12

Step-by-step explanation:

36-24=12

What is the slope of this line

Answers

Answer:

if I'm right 8,1 okkkkkk

Answer:

use y=mx + or - b to solve!

Step-by-step explanation:

Way to go!

With that  you should get (8,1)

x²-x is divisible by 2​

Answers

Answer:

3

Step-by-step explanation:

2²-2÷2

4-2÷2

=3

hope this helps

Don't scroll!! 40 points for whoever helps me!! T-T
A 54-foot tall office building casts a shadow that is 48 feet long. If Mindy is 5’6” tall and standing nearby, find the length of her shadow.

Answers

Answer: 200ft

half

Step-by-step explanation for the question i don't know: I don't have the true answer but would it be half...? nvm lol

Answer:

[tex]\huge\boxed{\frac{44}{9} \ \text{feet}}[/tex]

Step-by-step explanation:

If the sun hits two objects at the same time of day, their shadow lengths will be proportionate to their original object with same constant of proportionality.

Therefore, we can set up a proportion fraction to find Mindy's shadow length. Let's assume we have the fraction as [tex]\frac{\text{original}}{\text{shadow}}[/tex].

[tex]\frac{54}{48}=\frac{5.5}{x}[/tex]

We use 5.5 because 5'6" is the same thing as 5.5 feet - 6 inches is half a foot.

We can solve for x by cross multiplying.

[tex]48 \cdot 5.5=264[/tex]

[tex]264 \div 54 = \frac{264}{54}[/tex]

We can simplify this fraction by dividing the numerator/denominator by 6.

[tex]264 \div 6 = 44\\54\div6=9[/tex]

[tex]\frac{44}{9}[/tex]

So Mindy's shadow is [tex]\frac{44}{9}[/tex] feet long.

Hope this helped!

Two fifth of a certain number is 30 what is the number?

Answers

75

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

Beginning with an "If-then" statement ⇣

If 2/5 = 30 then 1/5 = 15

Now we have 1/5, let's make it 1 by multiplying x5.

15 x 5 = 75

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

Good luck! :)

~pinetree

In parallelogram EFGH, what is the relationship between angle e and angle f?

e° = f°
e° + f° = 180°
e° = -f°
e° - f° = 180°

Answers

Answer:

=> e° + f° = 180°

Step-by-step explanation:

we know. that this is a parallelogram .

e° + f° = 180° { because they are adjacent angle and the sum of adjacent angles in a parallelogram is 180°}

Answer:the answer is e° + f° = 180°

Step-by-step explanation:

I got it right

y= -x + 1 and y= 2/3x - 4 What is the solution to the system of equations?

Answers

Answer:

x=3 /

steps: (For x)

Turn the equation into --> -x+1 = 2/3x-4

Next is the multiply the equation by 3 to make isolating x easier so it becomes --> -3x+3=2x-12

Now arrange the terms to where variables are on a side and constants are on a side

it should look like --> -3×-2x=-12-3

Now combine like terms --> -5x=-15

finally just divide by -5 on both sides

x=3

For y:

substitute X for either of the equations

y=2/3 x 3-4

y=-2

The solution is (3,-2)

find the next three terms in the arithmetic sequence: -3, -8, -13, -18

Answers

Answer:

-23

Step-by-step explanation:

Common difference = 2nd term - 1 st term

                                = -8 - (-3)

                                = -8 + 3

                               = -5

To get the next term add (-5) to the previous term

5th term = (-18) + ( (-5) = -23

Decrease #40.00 by 5%​

Answers

Answer:

Step-by-step explanation:

its 38

After reducing the given number 40.00 by 5%, the reduced number is, 38

What is the percentage?

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

The number, 40.00

After reducing it by 5% = ?

5  =  (x/40)×100

x = 2

5% of 40 is 2,

So subtracting it from 40

After decreasing it by 5%

The number = 40-2

                     = 38

Hence, the number is 38

To know more about Percentage check:

https://brainly.com/question/29306119

#SPJ2

2 Mrs. Scott purchased pizzas for her homeroom
students for winning the door decorating contest.
She purchased 3 pizzas and spent a total of $29.85.
How much did each pizza cost?

Answers

Answer:

9.95 per pizza

Step-by-step explanation:

i googled it :)

Answer:

9.95 per pizza

Step-by-step explanation:

just divid it

The measure of c is ???

Answers

Answer: 3*sqrt(13)

Explanation:
this is using the pythagorean theorem: a^2 + b^2 = c^2. c is always the hypotenuse (longest side) of the triangle.
so plugging in the numbers: 9^2 + 6^2 = c^2.
solving: 81 + 36 = c^2
117 = c^2
now to solve for c^2, we can take the square root of both sides: sqrt(117) = c
to simplify the square root, we can factor it. 117 can be divided into 13 * 9. (I just tried numbers given in the options)
so c = sqrt(13 * 9)
9 can be factored into 3 * 3
c = sqrt(13 * 3 * 3)
since we have two 3’s, that can be taken out of the square root to get:
c = 3*sqrt(13)

Describe the translation of figure ABCD. Use the drop-down menus to explain your answer.
AlternativeText
Figure ABCD is translated

unit(s) right and

unit(s) up.

Answers

Answer:

Is Figure A'B'C'D' a translation of Figure ABCD? Explain. Yes; it is translated 2 units left and 2 units up.

Step-by-step explanation:

What is the result of x + 2x - 6 = 21?

Answers

Answer:

9

Step-by-step explanation:

x + 2x - 6 = 21

3x - 6 = 21 /+6

3x = 27 /:3

x = 9

Answer:

x = 9

Step-by-step explanation:

Hope that helps!

What is the sum of all the positive integers from

24
to

102
?

Answers

Answer:

The sum of all positive integers is

5 + 6 + 7 + 8 + 9 + 10

              = 45

Step-by-step explanation:

Because [tex]\sqrt{24} = 4.89[/tex] and [tex]\sqrt{102} = 10.09[/tex]

So positive numbers between 4.9 and 10.09 are

 5+6+7+8+9+10 = 45

Brainliest will be appreciated.

PLEASE HELP ME ima dumb and really bad at math :(((( !!

Answers

Answer:

-27,0

Step-by-step explanation:

I think, not entirely sure tho.

-27 is the answer ...... i might be wrong

The measure of the angles of a triangle are shown in the figure below . Solve for x

Answers

Answer:

x = 49°

Step-by-step explanation:

Hello! The sum of all angles in a triangle is 180°

64 + 67 = 131

180 - 131 will give you x

180 - 131 = 49° = x

If you need further explanation, let me know!

- profparis

the cost price of a box and a pen is rupees 80 the box is sold at 10% profit and the pen is sold at 10% loss if the selling price of the box is rupees 28 more than that of the pen calculate the profit or loss percent in the whole​

Answers

Answer:

2.5%

Step-by-step explanation:

[tex]if\ the\ art-rice\ of\ pen\ is\ x\\ so\ the\ toux\ is\ 8v-x\\ then\ (80-x)\bullet1\bullet1-a9\bulletx=28\\ so\ x=30.\\ So\ the\ selling\ price\ of\ box\ is\ RS.5\\ the\ selling\ price\ of\ pen\ is\ R527\\ R55+R_27=R8.2\\ so\ profit\ percent=\frac{R882-R830}{280-}\times100\ percent=2.5\ percent\\ (figure\ out\ their\ individual\ oosts)[/tex]

I hope this helps you

:)

i need help for this still

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The ratio of girls to students is choice c, 34:72 because it said girls to students. We already know the total number of students and the number of boys, all we have to do now is subtract the total number of students to the number of boys to get the number of girls, 72 - 38 = 34......and that's it we put the number of girls then the number of students.

What are the x- intercept and the y-intercept of the graph of 6x + 15y = -30?

Answers

Answer:

x int: -5

y int: -2

Step-by-step explanation:

Plug in 0 for x to find y intercept. 6(0) + 15y = -30 then you would get 15y = -30. Divide by 15 on both sides. y = -2

Plug in 0 for y to find x intercept 6x + 15(0) = -30 then you would get 6x = -30. Divide 6 on both sides. x = -5

Write an equation of the line in slope-intercept form.
slope = 3, y-intercept = -4

Answers

The equation would be y = 3x - 4. Hope this helps.

A car salesman earned $22 an hour and a commission of 3.3% on sales. Find his total earnings in a week when he worked 38 hours and had 65,800 in sales

Answers

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

work through these two problems 1)7-?=3.4567 and 2)6.9999-?=3.4567
how can problem 2 help you solve problems1?

Answers

Answer:

Give students up to 1 minute to think about the first question and then ask them to ... The first two problems aim to help students

Step-by-step explanation:

NEED HELP! will give brainiest!!

Answers

Answer: 62999

Step-by-step explanation: sorry if wrong

Which inequality is equivalent to −y<7?


A). Y < 7

B). Y > 7

C). Y > -7

D). Y < -7

Answers

Answer:

C) Y > -7

-Y < 7        given

0 < 7 + Y       add Y to both sides

-7 < Y            subtract 7 from both sides

For exercises 23-27 use this illustration of a drink dispenser gauge on the front of the dispenser shows how much of the liquid remains in the gauge that dispenser holds 120 cups a. About what fraction of the cup is filled with liquid b. About how many cups of liqiud are in the dispencer c. About what fraction of the dispencer is empty d. About how many more cups of liquid does it take to fill the cup

Answers

Answer:

a) 2/3

b) 80 cups

c) 1/3

d) 40 cups

Step-by-step explanation:

Fraction of a full dispenser = 1

a. About what fraction of the cup is filled with liquid

= 1 - 1/3

= 2/3

b. About how many cups of liqiud are in the dispenser

We have 120 cups.of liquid that the dispenser contains

Hence,

= 2/3 × 120

= 2 × 40

= 80 cups

c. About what fraction of the dispenser is empty

= 1 - Fraction of liquid currently in the dispenser

= 1 - 2/3

= 1/3

d. About how many more cups of liquid does it take to fill the cup

= 1/3 × 120

= 40 cups

It will take 40 cups to fill the dispenser

Triangle XYZ has vertices X(8, −2.3), Y(6.5, 5), and Z(6, 3). When translated, X′ has coordinates (3.8, −0.3). Enter a rule to describe this transformation. Then find the coordinates of Y′ and Z′. Drag and drop each number into the correct box to complete the statements. The rule is (x, y) arrowright parenleftzex − , y + parenrightze. The coordinates are Y′parenleftze, parenrightze and Z′parenleftze, parenrightze.

Answers

Answer:

The coordinates of [tex]Y'(x,y)[/tex] and [tex]Z'(x,y)[/tex] are [tex]Y'(x,y) = (2.3, 7)[/tex] and [tex]Z'(x,y) = (1.8, 5)[/tex], respectively.

Step-by-step explanation:

A translation is a geometrical operation consisting in moving a point a given distance. We proceed to describe the operation:

[tex]X(x,y) +U(x,y) = X'(x,y)[/tex] (Eq. 1)

Where:

[tex]X(x, y)[/tex] - Initial point on the cartesian plane, dimensionless.

[tex]X'(x, y)[/tex] - Translated point on the cartesian plane, dimensionless.

[tex]U(x, y)[/tex] - Translation component, dimensionless.

Vectorially speaking, we find that translation component is:

[tex]U(x, y) = X'(x,y) -X(x,y)[/tex]

If we know that [tex]X(x,y) = (8, -2.3)[/tex] and [tex]X'(x,y) = (3.8, -0.3)[/tex], the translation component is:

[tex]U(x,y) = (3.8,-0.3)-(8,-2.3)[/tex]

[tex]U(x,y) = (3.8-8, -0.3+2.3)[/tex]

[tex]U(x,y) = (-4.2, 2)[/tex]

Now we determine the coordinates of [tex]Y'(x,y)[/tex] and [tex]Z'(x,y)[/tex]:

([tex]Y(x,y) = (6.5, 5)[/tex], [tex]Z(x,y) = (6,3)[/tex])

[tex]Y'(x,y) = Y(x,y) + U(x,y)[/tex] (Eq. 2)

[tex]Y'(x,y)=(6.5, 5) + (-4.2, 2)[/tex]

[tex]Y'(x,y) = (2.3, 7)[/tex]

[tex]Z'(x,y) = Z(x,y) + U(x,y)[/tex] (Eq. 3)

[tex]Z'(x,y) = (6,3)+(-4.2,2)[/tex]

[tex]Z'(x,y) = (1.8, 5)[/tex]

The coordinates of [tex]Y'(x,y)[/tex] and [tex]Z'(x,y)[/tex] are [tex]Y'(x,y) = (2.3, 7)[/tex] and [tex]Z'(x,y) = (1.8, 5)[/tex], respectively.

Other Questions
Does doubling the temperature for a reaction cut the activation enegry in half? Find the value of x: 4/5 (x+7) =20(4/5 is a fraction not a division) In-line skaters A study of injuries to in-line skaters used data from the National Electronic Injury Surveillance System, which collects data from a random sample of hospital emergency rooms. The researchers interviewed 161 people who came to emergency rooms with injuries from in-line skating. Wrist injuries (mostly fractures) were the most common.The interviews found that 53 people were wearing wrist guards and 6 of these had wrist injuries. Of the 108 who did not wear wrist guards, 45 had wrist injuries. Why should we not use the large-sample confidence interval for these data?a. Because 161 people are not enough for using the large-sample confidence interval.b. Because the difference in sizes of the two groups is too large.c. Because there are only 6 skaters in one group having wrist injuries.d. Because the sample error is two large. Question 3 with 1 blankSon los papeles de la profesora? about post-impressionism A business has seen demand for its newest product fall rapidly. According to the law of demand, what is the most likely explanation for why this happened?A. the business reduced the supply of the productB. the business decreased the product's priceC. the business increased the product's priceD. the business created a shortage of the product how was the earth made? please help asap A loan company charges $80 interest for a three-month loan of $550. Find the annual interest rate (APR) they are charging. ACTIVITY 1 DIRECTIONS: Determine the approach that can be used to analyze the following topics in certain literary selections_____________1. Political issues_____________2. Attributes of characters _____________3. Norms and traditions of certain group of people_____________4. Appropriateness of the setting of the story_____________5. Theme of the text_____________6. Poverty in the country_____________7. coup d' etat in Myanmar_____________8. Script of the characters in the story_____________9. Genre of the story_____________10. Social issues identify the organelles labeled A bird flew from a point on the ground directly to the edge of the roof of a building. Theheight of the building is 70 feet, and the angle of elevation the bird's flight path made with theground is 30. What is the total distance the bird flew in feet? WILL GIVE BRAINLIEST!!!!!!!!Which organism is an autotroph?foxsquirreltreefungus How do I put things in standard notation? Please explain :( According to Orthodox monetary theory, when the FED buys a bond from the banking sector this is an example of Group of answer choices an open market purchase and contractionary monetary policy an open market sale and expansionary monetary policy an open market sale and contractionary monetary policy none of the above an open market purchase and expansionary monetary policy PLZZZZZZZZZ HELP ME!!!this due right now!!!!What is a central idea developed in the beginning of your Novel by Raina Telgemeier?-Use the RADDE writing strategy Please answer the question which I attached to this file match the figures with thier name =D--------------C 11) Ms. Ripa's family is planning to come visiting her from New York. She hopes to takethem to some of the National Parks in Utah while they are here, but she needs to save up tobuy their tickets. Adult tickets are $12 each, and child tickets are $7 each. If she has 5 adultsand 4 children coming to visit, how much money will she need to save up to buy all of theirtickets? 20 POINTS, BRAINLIEST, RATING, ETC!In 3 to 5 sentences, analyze potential impacts of oceans on human populations as the result of climate change in the current century The expedition came about because the spanish were concerned about