Given the parent function f(x) = x2 describe the graph of g(x) = (3x-6)2 +3.

Answers

Answer 1

Answer:

For this case we have the following functions transformation:

Vertical expansions:

To graph y = a * f (x)

If a> 1, the graph of y = f (x) is expanded vertically by a factor a.

f1 (x) = (3x) ^ 2

Horizontal translations

Suppose that h> 0

To graph y = f (x-h), move the graph of h units to the right.

f2 (x) = (3x-6) ^ 2

Vertical translations

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

g (x) = (3x-6) ^ 2 + 3

Answer:

expanded horizontally by a factor of 3, horizontal shift rith 6, vertical shift up 3

Step-by-step explanation:

Answer 2

Answer:

For this case we have the following functions transformation:

Vertical expansions:

To graph y = a * f (x)

If a> 1, the graph of y = f (x) is expanded vertically by a factor a.

f1 (x) = (3x) ^ 2

Horizontal translations

Suppose that h> 0

To graph y = f (x-h), move the graph of h units to the right.

f2 (x) = (3x-6) ^ 2

Vertical translations

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

g (x) = (3x-6) ^ 2 + 3

Answer:

expanded horizontally by a factor of 3, horizontal shift rith 6, vertical shift up 3


Related Questions

what is the volume of a block of iron that measures 2cm by 10cm by 3cm?

Answers

Answer:

this is the density d=7 5/6 9/cm3 but I might be 89/100cm3 or 0.89g/cm3



SHORT ANSWER
Write each of the numbers 1, 4, 9, 16, and 25 as a base raised to the
second power. Explain why these numbers sometimes are called perfect squares

Answers

Answer:

because their principal square roots are also positive integers, square roots of numbers which are not perfect squares like 2 are irrational

step by step:

The square of a number is the number you get ehen you multiply that bumber by itself. so if n is a number then nxn = n2 is the 'square of n' it is called that because the area of a square whose edge lengh is n units is n2 square units

perfect square numbers are the numbers which are ths squares of the positive integers

pls help me ty very much​

Answers

Answer:

i need help also

Step-by-step explanation:

Answer:

B, C, A

Step-by-step explanation:

I did this question before and I got it right.

PLEASE HELP THIS IS DUE TODAY AT 11:59 !!!
(b) Does each triangle have the same change in x-values? Explain.
(c) Does each triangle have the same change in y-values? Explain.
(d) Does each triangle have the same ratio of change in y-values over change in x-values? Explain.

Answers

Answer:

See Below

Step-by-step explanation:

Point A (0,0)

Point B (3,2)

Point C (9,6)

b. x values from A to B: 0 to 3

x values from B to C: 3 to 9

No, AB has a change of 3 and BC has a change of 6 in x

c. y values from A to B: 0 to 2

y values from B to C: 2 to 6

No, AB has a change of 2 and BC has a change of 4 in y

d. Calculate Slope: [tex]\frac{y{2}-y{1}}{x{2}-x{1}}[/tex]

AB (2-0/3-0) = 2/3

BC (6-2/9-3) = 4/6 = 2/3 simplified

Thus, AB has the same ratio of change as BC

9x^(2)+y^(2)=18 find all the vertices

Answers

Answer:

I think its 12

Step-by-step explanation:

5 ×5=25 - 13=12

Jan left her home to go on a bike ride. The graph describes her ride.

Where did Jan stop on the ride

Question 9 options:

A) AB
B) BC
C)CD
D) EF

Answers

Answer:

B) BC

Step-by-step explanation:

because im just right lol.


The answer is B cause the distance she traveled form B to C stayed the same

Describe the graph of the line y = -5.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The graph of line y = -5 is in Attachment, I hope it helps !

1Which angle measures less than 90° but greater than 0?

Right Angle

Btuse Angle
Acute Angle
Straight Angle
:

Answers

The answer is acute angle

The correct answer to the question would be that it is a Acute angle

Charlie is shopping for a jacket that he likes. The jacket, regularly priced at $200, is on sale at Clothes Are Us for $150. Jacket World is offering a 25% discount on the same jacket that regularly sells for $190 at that store. Which statements are correct for this situation?
A) Jacket World's price is $150.00
B) Jacket World has the better deal.
C) Clothes Are Us has the better deal.
D) Both stores are offering a 25% discount on the jacket.
E) The difference in the sale prices at the two stores is $7.50.
List all that are correct

Answers

3 Answers:

Choice B) Jacket world has the better deal.

Choice D) Both stores are offering a 25% discount on the jacket.

Choice E) The difference in sale prices at the two stores is $7.50

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

Explanation:

25% = 0.25

25% of $190 = 0.25*190 = 47.50

190 - 47.50 = 142.5

This indicates the price at Jacket World is $142.5 instead of $150

Therefore, choice A is false.

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

Choice B on the other hand is true because $142.50 at Jacket World is a lower price compared to $150 at Clothes Are Us. Jacket World has the better deal.

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

Because choice B was shown to be true, there's no way choice C can be true as well. Otherwise, we'd have a contradiction. So we can rule out choice C.

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

Let's find the percentage discount for Clothes Are Us.

The original price is $200 and its sale price is $150. So you save 200-150 = 50 dollars.

Divide that over the original price to find the discount: 50/200 = 0.25 = 25%

Therefore, Clothes Are Us has the same discount percentage as Jacket World. Both have a 25% discount. Choice D is true.

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

Comparing the two sale prices of $150 (Clothes Are Us) and $142.50 (Jacket World), the difference in price is 150-142.50 = 7.50; this means choice E is a true statement.

PLEASE EXTRA POINTS AND BRAINLIEST HELP PLEAS FOR THE BOOKTHW OUTSIDERS WRITE AN OBITUARY FOR JOHNNY CADE AND DALLY (DALLAS WINSTION) PLEASE HELP!

Answers

Answer:

ok ok por favor, un punto extra y la ayuda más brsinliest por favor para

Steve and Mark are both filling their own bucket with water.
-Steven begins with 8 cups of water in his bucket, and fills the bucket at a rate of 2 cups per second.
- The number of cups of water, W, in Mark's bucket after t seconds is represented by the equation w= 8t + 1
Which statement is true:
A. Mark begins with more cups of water in his bucket
B. Mark begins with the same amount of water as Steven
C. Mark fills his bucket at a faster rate than Steven
D. Mark fills his bucket at the same rate as Steven

Answers

Answer:

D

Step-by-step explanation:

iptpuhdo is a good idea what to get larger fast and furious at

Which of the following is equivalent to (27/y^6)^-1/3

Pls help

Answers

The answer is B. Y^2/3.

What did i do wrong?

Answers

this is a rirangle urduxgsyududus

Jenny made $315.25 for 8 hours of work. How much would Jenny make for 40 hours of work

Answers

If Jenny made $315.25 for 8 hours of work:

Then it means that she made:
$312.25/8 hours = $39.41 per hour.

If Jenny works for 40 hours, then she will make:

40 hours × $39.41 = $1,576.25


Please mark my answers as the Brainliest if you find my explanations/solution helpful :)

Find the slope for
6y-10x=30

Answers

Answer:

the awnser is m= 5/3

Takumi earns $8.50 per hour proofreading advertisements at a local newspaper. He works
no more than 5 hours a day. Write a function for his earnings.

Answers

He would make about $42.50 per day at work.

Find the missing amount)
Original:_______
New: 260 gallons
%increase: 30%

(not multiple choice)

Answers

Answer: 182 gallons

find 30% of 260 by multiplying 260 by 30%

260 x .3 = 78

30% of 260 = 78

Subtract 78 from 260 to get original amount

260 - 78 = 182

Original is 182 gallons

ps. this is an actual impossible question because you need to know the original amount to find what 30% of it is. What i found was a 30% decrease of 260 not a 30% increase of the original. With that being said I think this is what you want?

Answer:

Original = 200 gallons

Step-by-step explanation:

Original: x

New: 260

Percent Increase: 30%

x = 100%

New = 100% + 30%

260 = 130%

To find, original we do:

260/130 * 100 =

2 * 100 = 200

-Chetan K

if Point p is located on the segment between point A (1,4) and point D (7,13) . The distance from A to P is twice the distance from P to D . What are the coordinates of point P​

Answers

Answer:

P (5 , 10)

Step-by-step explanation:

point A (1,4) and point D (7,13),         AP/PD = 2:1

P (x,y) : x = x₁ + (a/(a+b) * (x₂-x₁))       y = y₁ + (a/(a+b) * (y₂-y₁))    .... a=2 b=1

x = 1 + 2/(2+1) * (7-1) = 5

y = 4 + 2/(2+1) * (13-4) = 10

P (5 , 10)


Help pls I’m stuck ;-;

Answers

Answer:

Seven is the answer to your question

hi :) can u help me?​

Answers

Answer:

The answer would be 84

Step-by-step explanation:

You divide  60 by 25 and get 2.4. Then multiply 30 by 2.4 to get 72. Finally, multiply 35 to get 84.

Hope this helps! Have a great day!!       **please give me brainliest :)

Answer:

84

Step-by-step explanation:

because you did 30=72 already and you just need to find the extra 5 mins

you do 25 divided by 5 =5

60 divided by 5=12

then do 30 mins (72) + 5 mins (12) = 35 mins (72+12+84)

F(X) = x^2 - 4. Translation 7 units to the left

Answers

Answer:

ok i think it this

Step-by-step explanation:

sorry i took long

d-7<12;d=19
solve for answer

Answers

Answer:

19 is the answer

Step-by-step explanation:

hope its correct

It’s linear so you map out the first differences and then put it into y=Mx+b form. For the y gotta find the y intercept. please help

Answers

Answer:

y = 5/3x + 1

y-intercept: (0, 1)

Step-by-step explanation:

In order to determine the linear equation in its slope-intercept form, y = mx + b, where m = slope, b = y-intercept:

You need two ordered pairs from the table to solve for the slope:

We'll use (6, 11) and (9, 16).

Let (x1, y1) = (6, 11)

(x2, y2) = (9, 16)

Substitute thes values into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = (16 - 11) / (9 - 6)

m = 5 / 3

Therefore, the slope of the line is: m = 5/3.

Next, we need to determine the y-intercept of the line. The y-intercept is the y-coordinate of the point (0, b ) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

To find the y-intercept, we'll use the slope, m = 5/3, and one of the ordered pairs from the table, (6, 11). Substitute these values into y = mx + b to solve for the y-intercept, (b ):

y = mx + b

11 = 5/3(6) + b

11 = 10 + b

Subtract 10 from both sides to solve for b:

11 - 10 = 10 - 10 + b

1 = b

The y-coordinate of the y-intercept, (0, b) is 1. The y-intercept as an ordered pair is (0, 1). For the linear equation in slope-intercept form, you'll use b = 1 to write the equation.

Therefore, given the slope, m = 5/3, and the y-intercept, b = 1:

The slope-intercept form is: y = 5/3x + 1

Please mark my answers as the Brainliest if you find this helpful :)

a linear function is graphed on the coordinate plane below. what is the 0 of the function

Answers

Answer:

-5 i think

Step-by-step explanation:

Help someoneeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

17²-8²=9²

9²=18

√18=9

>> Answer

_________

[tex] \: [/tex]

b² = c² - a²

b² = 17² - 8²

b² = 289 - 64

b² = 225

b = √225

b = 15

A town doubles its size every 30 years. If the population is currently 500, what will the population be in 120 years?

Answers

Answer:

2000 is it answer

i hope its right ✅

Hi,

This question is incomplete. What is the start year of counting?

In a game, a player has to guess a 3-digit code in an attempt to unlock a trunk containing a prize. If the digits are to be chosen from the integers between 0 and 9 and they can be repeated, what is the probability that the player guesses the correct code on the first try?

Answers

Answer:

I think it will be 3/9=1/3

The probability that the player guesses the correct code on the first try is 0.001 or 0.1%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

In a game, a player has to guess a 3-digit code in an attempt to unlock a trunk containing a prize.

If the digits are to be chosen from the integers between 0 and 9 and they can be repeated.

The total number of outcomes will be

Total outcomes = 10³ = 1000

The player guesses the correct code on the first try. Then the favorable event will be

Favorable event = 1

Then the probability will be

[tex]\rm P = \dfrac{1}{1000}\\\\P = 0.001\\\\P = 0.1 \%[/tex]

The probability that the player guesses the correct code on the first try is 0.001 or 0.1%.

More about the probability link is given below.

https://brainly.com/question/795909

The product of two numbers is 144 and their difference is 10 what are the numbers​

Answers

Answer:

26

Step-by-step explanation:

let the two numbers be X and Y

XY = 144

X - Y = 10

(X + Y)^2 = ( X - Y)^2 + 4 XY

= 100 + 576 = 676

(X+Y) = √676

X + Y = 26

Kim bought x pairs of shoes for $45 each and y pairs of socks for $4 each. She spent $159 in all. Which equation represents this situation? A. 45 + x + 4 + y = 159 B. 45 + 4 + xy = 159 C. 45x + 4y = 159 D. 4x + 45y = 159

Answers

I believe it is C, because if you substitute in a number for x and y, you will get the amount spent.

Answer:

C

Step-by-step explanation:

The number of shoes times the cost plus the number of socks times the cost is equal to 159

Given that ∠ ABD ≅∠ RQS and m DBC = 33, what is m ∠RQS?

Answers

Answer:

57°

Step-by-step explanation:

∠ ABD =∠ RQS , ∠DBC = 33°

∠ ABD = 90° - 33° = 57°

∠ RQS = 57°

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