Describe the transformations necessary to get from the graph of the parent function f(x)=x? to the
graph of the given function.
G(x)= 2(x - 3)^2 + 9
(Compress,Stretch)the graph vertically by a factor of_______
then translate the graph_______units to the (right,left)and _______ units (down,up)

Answers

Answer 1

Answer:

 translate the graph 5 units left and down 2 units

Step-by-step explanation:

To translate the function f(x) by an amount h units right and k units up, make the transformation ...

 g(x) = f(x -h) +k

Comparing this to your equation,

 g(x) = f(x +5) -2

we see that the translation is h = -5, k = -2.

The graph of f(x) is translated 5 units left and 2 units down to make the graph of g(x).


Related Questions

Which equation represents a circle with a center at (–4, 9) and a diameter of 10 units?

(x – 9)2 + (y + 4)2 = 25
(x + 4)2 + (y – 9)2 = 25
(x – 9)2 + (y + 4)2 = 100
(x + 4)2 + (y – 9)2 = 100

Answers

Answer:

(x + 4)^2 + (y – 9)^2 = 25

Step-by-step explanation:

The standard form for a circle is

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]     where (h, k) is the center and r is the radius

In your case, h = -4 and k = 9 and r = 5

So, (x + 4)^2 + (y – 9)^2 = 25

The equation for this circle is given as

[tex](x+4)^2 + (y-9)^2 = 25[/tex]

Data

h = -4k = 9r = diameter/2 = 10/2 = 5

Equation of Circle

The equation of circle is given by

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Let's substitute our values and get our equation

[tex](x--4)^2 + (y-9)^2 = 5^2\\(x+4)^2 + (y-9)^2 = 25[/tex]

we substituted the values of h and k and made sure it's in the standard form of equation of a circle.

The equation for this circle is given as

[tex](x+4)^2 + (y-9)^2 = 25[/tex]

This looks exactly like

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Learn more on equation of a circle here;

https://brainly.com/question/15214797

Help please and show work.

Answers

Answer:

x = 17.2

Step-by-step explanation:

[tex]x = 21 \: cos 35 \degree \\ \\ x = 17.20219293 \\ \\ x = 17.2[/tex]

Answer:

17.2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos = adjacent/ hypotenuse

cos 35 = x/21

21 cos 35 =x

17.2021293=x

Rounding to the nearest tenth

17.2

which of the following correctly gives the center and radius of the circle defined by the equation (z-7)^2 = 10?

Answers

Answer:

Center (7,2); Radius - Square Root of 10

Step-by-step explanation:

Equation for a Cricle:

(x−h)^2 + (y−k)^2 = r^2

Where:

h = x-coordinate of the center of the circle

k = y-coordinate of the center of the circle

r = radius of the circle

For this problem, your h = 7, k = 2, and r = square root of 10

What is the value of this expression when a= 3 and b- -2? (3a^-2 b^6)/(2a^-1 b^5)^2

No links please. Will give Brainlest on who is right. (This gamer girl is bad at math uwu)

Answers

Answer:

1

Step-by-step explanation:

What is the effect of the b value in an exponential function? y = a* b^x


someone please help ive been asking and no one has answered

Answers

B is the starting point of the function. It is when x = 0 on the y axis.

The solutions to a cubic function are x = 4 , x = 3 and x = - 3 . What is a possible cubic function with those solutions?

Answers

Answer:

12x

Step-by-step explanation:

The radius of a circle is 10 inches. What is the angle measure of an arc bounding a sector with area 10​π square inches?

Answers

Answer:

Step-by-step explanation:

hello :

the arc length formula is : s = 2πr(θ/360°)

given : area :  s = 10 ,     radius  :   r = 10

2(3.14)(10)(θ/360°)=10 solve for : θ

2(3.14)(θ/360°)=1

θ = 360°/6.28

θ = 57°.32

Which number has the least value?
A 1/2
B 62%
C 0.55
D 9/16

Answers

Answer:

A

Step-by-step explanation:

Answer:

A. 1/2

Step-by-step explanation:

I converted all of the numbers into percentages out of 100.

1/2= 50%

62% doesn't have to be changed

0.55= 55%

9/16= 56.25%

Hope this helps :D

Find the x in each triangle

Answers

Answer:

hi

Step-by-step explanation:

you can find the answer according to the Pythagorean theorem

1.

[tex] {5}^{2} + {x}^{2} = {13}^{2} \\ 25 + {x}^{2} = 169 \\ {x}^{2} = 169 - 25 \\ {x}^{2} = 144 \\x = \sqrt{144} \\ x = 12 \: dm[/tex]

2.

[tex] {10}^{2} + {24}^{2} = {x}^{2} \\ 100 + 576 = {x}^{2} \\ {x}^{2} = 676 \\ x = \sqrt{676} \\ x = 26 \: in[/tex]

hope it helps

have a nice day

Using the frequency table below ​

Answers

Answer:

50%

Step-by-step explanation:

if you look below girls (in total) bought 100 pepsi colas and thats half of the total (200)

answer for brainlest and 25 points

Answers

Answer:

Order from greatest to least: 10.5, [tex]3\pi +1[/tex], [tex]\sqrt{105}[/tex]

Step-by-step explanation:

step 1 simplify each number

3π + 1  = 10.4247779

*round to the nearest tenth*

3π + 1 = 10.4

[tex]\sqrt{105} =10.2469507[/tex]

*round to the nearest tenth*

[tex]\sqrt{105} =10.2[/tex]

10.5 = 10.5

Now that we have simplified each number we can easily put them in order from greatest to least

10.5 is the greatest number

10.4 is the middle number

10.2 is the lowest number

so 10.5, 10.4, 10.2

Now we put them back in the original form

10.5 = 10.5

10.4 = 3π + 1

10.2 = [tex]\sqrt{105}[/tex]

Your answer is

10.5 , 3[tex]\pi[/tex] + 1, [tex]\sqrt{105}[/tex]

Variables are defined by what?

Answers

Answer:

A variable is a quantity that may change within the context of a mathematical problem or experiment. ... The letters x, y, and z are common generic symbols used for variables. Sometimes, we will choose a letter that reminds us of the quantity it represents, such as t for time, v for voltage, or b for bacteria.

Step-by-step explanation:

thats true❤️

Answer:

A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables.

please mark as brainliest

hayden's book was 972 pages long.he had 12 days to read it.how many pages does he have to read every day to finish it ?

Answers

81 pages every day
972/12= 81


4.Find the length of the diagonal of a rectangle having dimensions 16 cm and 12 cm.

Answers

Answer:

20 cm

Step-by-step explanation:

So from the problem we get that the two sides of the rctangle are 16 cm 12 cm which are base perpendicular of the right angle triangle. H = 20 cm. So the diagonal of the rectangle = 20 cm.

Answer:

20 cm

Step-by-step explanation:

Here's your solution

=> length of rectangle = 16 cm

=> width of rectangle = 12 cm

=> Diagonal of rectangle = √(l^2 + w^2 )

=> Diagonal = √(16^2 + 12^2)

=> Diagonal = √(256 + 144)

=>. Diagonal = √400

=> Diagonal = 20 cm

hope it helps

Someone help and PLZ make sure it’s RIGHT

Answers

Answer:

11.6 mi

Step-by-step explanation:

9.3^2+6.9^2 = 134.1

sqrt134.1 = approx 11.6

Answer:

c= 11.6 mi

Step-by-step explanation:

c =√(a²+b²)= √(9.3²+6.9²)= 11.6mi

how many times can 3 go into 274.625?​

Answers

Answer: About 91.54 times.

Step-by-step explanation:

The rectangle below has an area of x^2-7x+10x 2 −7x+10x, squared, minus, 7, x, plus, 10 square meters and a width of x-5x−5x, minus, 5 meters.

Answers

what would you need the answer w just used scracitc or something 12

Please help!

P.S. I've already tried it once and the answer isn't -0.3 repeating

Answers

I think it is 9 Hope you got it.

You are driving to visit a friend in another state who lives 700 miles away. You are driving 65miles per hour and have already driven 375 miles. Write and solve an equation to find how much longer in hours you must drive to reach your destination.

Answers

Answer:

5 hours

Step-by-step explanation:

distance = rate x time

t = time

(700-375) = 65t

325 = 65t

325/65 = t

5 hours = t

PLZ HELP! QUESTION IS BELOW! :D

Answers

Answer:

40 ft^2

Step-by-step explanation:

Think of the area of the green rectangle first. Then subtract the area of the smaller brown rectangles.

area of green carpet = 4 ft * 12 ft - 3 ft * 2 ft - 1 ft * 2 ft

area = 48 ft^2 - 6 ft^2 - 2 ft^2

area = 40 ft^2

Answer: 40 ft^2

Marcus has 1525 marbles in divides the marbles into 15 bags to sell each bag how many marbles are in each bag and how many marbles are left over

Answers

101*15= 1,515. 1,525-1,515= 10.
Each bag gets 101 marbles, there are 10 left over.

Answer:

There are 101 marbles in each bag with 10 marbles leftover.

Step-by-step explanation:

To find how marbles will go in each bag, divide 1525 by 15.

1525/15 = 101 with a remainder of 10.

There's your answer!

determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution. x+y=5 2x-y=-3

Answers

Answer:

(2/3, 13/3)    (Exactly one solution)

Step-by-step explanation:

Write these equations in a column:

 x+y=5

2x-y=-3

Note that we can eliminate y immediately by adding these two equations together. We get:

3x = 2, so that x = 2/3.

Substituting 2/3 for x in the first equation, we get:

2/3 + y = 5.  Clear out fractions by multiplying all three terms by 3:

2 + 3y = 15, or 3y = 13.  Then y = 13/3, and the solution is

(2/3, 13/3)      There is exactly one solution.

Answer:

Hi! The answer to your question is One Solution.

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

5/8 = x/6

All them numbers are fractions
Find X

Answers

Answer:

x = 3.75

Step-by-step explanation:

You need to cross multiply.

First multiply 6 and 5, then divide that by 8.

Good Luck!!

Answer:

Step-by-step explanation:

  hello :

5/8 = x/6  means  :  8x = 30

x = 30/8

What is value of A=sin -1(2/10 rounded to three decimal places

Answers

Answer:

If you meant: A = sin-1(2/10), A = 0.201

If you meant: A = sin(-12/10), A = -0.932

Step-by-step explanation:

If you read 340 pages in 45 minutes how many pages do read in 1 minute

Answers

Answer:

7 5/9

Step-by-step explanation:

340/45 = 7 5/9

Answer:

7.6 pages

Step-by-step explanation:

Okie, so this is a standard unit rate problem, so what you're going to do is divide the number of whatever, in this case, pages, by the time, so:

340 ÷ 45 = 7.6 (rounded)

So you read 7.5 pages per minute

(which is pretty impressive if it's a chapter book)

hope this helps:)

3/7 x 2 help need asap​

Answers

Answer:

3/7 × 2

= 6/7

= 0.857.

Step-by-step explanation:

°•°•°•°•°•°•°•°•°•

Write as a sum, difference or
multiple of logarithms.
In(8x) = [ ? ]8+ [ ]x

Answers

Answer:

In(8x)=[In]8 + [In]x

Step-by-step explanation:

By product rule:

[tex]In(8x)=[In]8 + [In]x[/tex]

Free brainliest for luck nonee ez kid ana dont say thank you unless u get it

Answers

Answer:

Hello

Step-by-step explanation:

Answer:

LES GOOO

Step-by-step explanation:

thx man

Express 4 hours on seconds and leave answer in standard form

Answers

Answer:

4x60=240minutes

1 minute=60 seconds

Hence, 240 minutes=14400 seconds(240*60)

Michelle and Natasha each had to repair their new iPhones. The initial cost of each repair is $ 100. Michelle and Natasha each have two discount coupons. Each of them uses both coupons toward the cost of the repair. One coupon is for $25 off the repair cost and the other coupon is for 20% off the repair cost. Michelle and Natasha use their coupons in a different order, as shown below. Michelle uses the 20% off the repair cost coupon first. She then uses the $25 off the repair cost coupon on the remaining balance. Natasha uses the $25 off the repair cost coupon first. She then uses the %20% off the repair cost coupon on the remaining balance.

Answers

Answer:Michelle

And 50

Step-by-step explanation:

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