55:59
The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents
g(x)?
O g(x) = (x + 9)2 + 4
O g(x) = (x + 9)2 - 4
O g(x) = (x - 4)2 + 9
O g(x) = (x + 4)2 + 9

Answers

Answer 1

Answer:

g(x)=(x-4)^2+9

Step-by-step explanation:

Answer 2

The function representing the g(x) is g(x) = (x - 4)² + 9.

What is Translation of Functions?

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

There are horizontal translation and vertical translation of functions.

Given is a function f(x).

f(x) = x²

A horizontal translation makes the function f(x) to f(x ± k), where k is the unit of translation.

And the vertical translation results in f(x) = f(x) ± k.

Here function f(x) = x² has been translated 9 units up.

f(x) → f(x) + 9 = x² + 9

Then it is translated 4 units to the right,

g(x) = (x - 4)² + 9, since the translation is towards right.

Hence the correct answer is g(x) = (x - 4)² + 9.

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Related Questions

Which equation gives the closest estimate of 692 – 343?

Answers

Answer:

350

Step-by-step explanation:

Nearest hundred: 300

Nearest whole number: 350

Hope this helped!

a
\large 140\frac{1}{2}

b
\large 140\frac{1}{3}

c
\large 141

d
\large 140\frac{3}{4}

Answers

i think the correct answer is b

HELP PLEASE!! 20 POINTS!!
Suppose it costs $0.46 to mail a 4-ounce package, plus $0.06 per each additional ounce.
How much does it cost to mail a 6-ounce package?

Answers

Answer:

$1.66

Step-by-step explanation:

(0.46)+(2×0.6)=1.66

.46+.06+.06=$0.58
Hope this helps

inverse of g(x) = x^2+1

Answers

To find the inverse, interchange the variables and solve for y

G^-1 (x) = square root x - 1, - square root x-1

i need help i don’t know how to solve this:D
10x - 5x + 2

Answers

Answer:

5x + 2

Explanation:

10x - 5x + 2Add Similar Elements

10x - 5x = 5x

5x + 2

- PNW

A pencil pouch has 12 pencils and 30 led pencils, What is the ratio of
pencils to led pencils?

Answers

Answer: 12:30

Step-by-step explanation: Trust me. I got 100.

Answer:

6::15

Step-by-step explanation:

what is the slope of the line graphed below? (3,3) (0,-6)

Answers

Answer:

Where is the line

Step-by-step explanation:

Answer:

The slope of the lines is 3.

Step-by-step explanation:

Since I can't actually graph it, we can make a table

x      y

3      3

0     -6

From 3 to -6, you subtract 9 (for the y section)

From 3 to 0, you subtract 3 (for the x section)

Now all you need to do is divide y by x

y/x = -9/-3 = 3

It's a positive 3, because two negatives times each other will always result in a positive.

Slope = 3

Hope this helped!

Have a supercalifragilisticexpialidocious day!

2y = 6x + 10 and y = 2x + 4

Answers

Answer:

x=-1, y=2

Step-by-step explanation:

2(2x+4)=6x+10

2x=-2

x=-1

y=2(-1)+4

y=2

Your parents want to be generous to you. They have decided to give you money every week for 1 year. They have 2 options from which you can choose.
Which option would you rather have?
Option A: Every week for one year, your parents will give you $50.
Option B: Every week for one year, your parents will double the amount of money that you have in a special bank account. In week one, they will give you $0.01.
Equation A:
Equation B:

Answers

Answer:

B

Step-by-step explanation:

1: they didnt mention that its just for a year.

2: the money source cant just be from them.

Can someone help me !!!

Answers

Answer: 35, 63

Step-by-step explanation: sorry if wrong

a=35 b=63 i think i’m not sure

Find an expression, in it's simplest form, for the perimeter of this hexagon.​

Answers

Answer:20

Step-by-step explanation:

The longest side of an acute isosceles triangle is 12 centimeters, Rounded to the nearest tenth, what is the
smallest possible length of one of the two congruent sides?
O 6.0 cm
O 6.1cm
O 8,4 cm
O 8,5 cm

Answers

Answer:

8.5

Step-by-step explanation:

The perimeter of a rectangular meadow is 1004 m. What
will be the sum of the length and breadth of the meadow ?​

Answers

Answer:

hope it works for u

Step-by-step explanation:

Given the length of the rectangle = l

the breadth  of the rectangle = b

perimeter of the rectangle = sum of length of all sides of the rectangle  

                                             = l+ b+ l+ b

                                             =2 l+2 b

                                             =2( l+ b)

∴ perimeter of the rectangle =2( l+ b)

as given perimeter = 1004 m

hence ,

2(l+ b)= 1004

(l+ b)=1004/2  = 502 m

l+ b=502 m

Which solid is made from only quadrilaterals?
A) cube
B) triangular prism
C) square pyramid
D) cylinder

Answers

The solid made from only quadrilaterals is a) cube

Answer:

A) Cube

Explanation:

Quadrilateral just means "four sides"

Examples: square, rhombus, parallelogram, rectangle.

Hope that helps

Simplify:
4
(1934)
O
A.
Xy3216
B.
x93,8
O c. x7,12,16
D.
2778

Answers

D would be the answe to your question

please help due asap jdbhdbdbd

Answers

Answer:

b

Step-by-step explanation:

Answer: b

Step-by-step explanation:

180°-116°=64°

first three terms of a sequence are given. Round to the nearest thousand (if necessary) 152,149,146... Find the 30th term

Answers

Answer:

65

Step-by-step explanation:

use the following equation

aₙ=a₁+(n-1)d

Where d is the common difference

n is the term

a₁ is the first term

the common difference is -3 (149-152)

this means we have

152+(30-1)*-3

Compute this and get

65

Need help w this due today

Answers

Answer:

Step-by-step explanation:

you have a right triangle,

a^2+b^2=c^2

10^2=4^2+b^2

100=16+b^2

100-16=b^2

84=b^2

b=9.16

I must be s.tupid but someone plzzzzzzzz help!

Answers

Answer:

=

Step-by-step explanation:

8.5 is also 8 and 1/2, it just has negative signs infront

Your teacher is giving you a test that has 30 questions and is worth 200 points. Some questions are worth 5 points and some are worth 10 points. How many of each question are on the test?

Answers

Answer:

20 5-point questions and 10 10-point questions

Step-by-step explanation:

help please :/ i might die if i don’t get helpppp

Answers

I don’t know how you guys are technically taught to explain but i would say they are congruent by SAS or you could just be simple and say they lines next to the angles fepresent congruent angles

What is the equivalent expression for 8w - 16?

Answers

Answer:

8(w-2)

this is equivlent

The equivalent expression for (8w - 16) = 8(w - 2)

What is an Expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given an Expression = (8w - 16)

(8w - 16)  = 8(w - 2)

Hence, the equivalent expression for (8w - 16) = 8(w - 2)

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3.If angle 1 is 107 degrees, what is the degree measure of angle 2 If the two angles are supplementary?

Answers

Answer:

73 degrees

Step-by-step explanation:

supplementary means angles that add up to 180 degrees

Ariel bought 8 balloons for $3.20. Mrs.Torres spent $38.40 on balloons at the same store. How many balloons did Mrs.Torres buy?
A.15
B.96
C.40
D.64

Answers

Answer:

96 because 3.20 divided by 8 is 0.4 and 0.4 times 96 is 38.4

HELP!!! 25 POINTE AND BRAINLIEST!! a local cafe sells 7,200 cold beverages in the month of july. over the next six months, the number of cold beverages decreases at an average rate of 750 cups per month. During the same time frame, the number of hot beverages sold is represented by the equation y=900x + 3,300 where the number of hot beverages, y, is a function of x, the number of months after july.

A. what is the rate of change of cold beverages sold per month? hot beverages?

B. which rate of change is greater? what does it mean?

Answers

Answer: a. The rate of change of cold beverages: -750 cups/month

The rate of change of hot beverages: 900 cups/month

b. The rate of change of hot beverages is greater (900 > -750). It means that the number of hot beverages sold increases at a rate of 900 cups every month.

Step-by-step explanation:

a. The question says that "the number of cold beverages decreases at an average rate of 750 cups per month". This indicates that the rate of change of cold beverages is -750 cups/month. Why negative? Remember that it decreases, not increases.

Then let's look at the equation given for the sale of hot beverages:

y=900x + 3,300

The slope of the equation is 900, which is also the rate of change. So the rate of change of hot beverages is 900

-n+2=7
Can sum one tell me this answer

Answers

Answer:

n= -5

Step-by-step explanation:

Answer:

Step-by-step explanation:

-n is -5

pls mark brainliest

5. Priya can bike 150 meters in 20 seconds. At

this rate, how long would it take her to bike

3,000 meters?

Answers

Answer:

400 seconds

Step-by-step explanation:

Divide 3000/150 = 20

20 x 20 seconds = 400 seconds

im not good at scatter plots.​

Answers

Answer: point B

Step-by-step explanation: it does not follow along with most of the other dots

At a sale, Janet bought a $40 blouse for $25. Find the discount rate.

Answers

Answer:

37.5%

Step-by-step explanation:

40-x%*40=25

x%40=15

x%=15/40=37.5%

Read the following values to 3 significant figures:

a) 3.676401

b) 4.2368

c) 3.9256

d) 17.026724

e) 87.5217

Answers

3.68, 4.24, 3.93, 17.0, 87.5
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