Mathematics College

Find the rule and the graph of the function whose graph can be obtained by performing the translation 2 units left and 3
units up on the parent function f(x)=x?

Find The Rule And The Graph Of The Function Whose Graph Can Be Obtained By Performing The Translation

Answers

Answer 1

Answer:

b.

Step-by-step explanation:

1. You have the following parent function given in the problem above:

f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)

2. If you take the parent function and make y=f(x+3), then you have:

(The function is shifted 3 units left on the x-axis).

3. Then you if you make y=f(x+3)-2, as following, you obtain:

 (The function is shifted 2 units down on the y-axis).

4. Therefore, that is how you obtain the final function.

The answer is the graph shown in .b

Answer 2

Answer:

The other guy is wrong. The correct answer is Option C.

Step-by-step explanation:

It is a translation 2 units left, so (x+2)^2 is what you need here. It shifts up 3 units so that adds +3 on the outside. So f(x) = (x+2)^2 +3 or OPTION C

Related Questions

1 When y= 35, x = 22. If the value of y
varies directly with x, what is the value of y
when the value of x is 3 ?
A 113 C 227
B 26 13 D 45 1

Answers

Answer:

Step-by-step explanation:

22/35

i giveeeeeeeeeeeeeeee brainlilstttt

Answers

Answer:

(x, y ) → (x + 10, y + 10 )

Step-by-step explanation:

Consider the coordinates of C and C'

C(- 7, - 1 ) and C'(3, 9 )

The translation in the x- direction is

- 7 → 3 = 3 - (- 7) = 3 + 7 = 10

The translation in the y- direction is

- 1 → 9 = 9 - (- 1) = 9 + 1 = 10

Then translation rule is

(x, y ) → (x + 10, y + 10 )

10 x 1/10 brainliest if answer not 1

Answers

Answer:

10/10

Step-by-step explanation:

Which decimal is equivalent to 7.5%? A 7.5 B 0.75 C 0.705 D 0.075

Answers

Answer:

D.) 0.075

Step-by-step explanation:

The Answer is D. (0.075)

The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time
in minutes spent on the Internet.
O
$0 0<30
f(t) = $5 30 < 1 S 90
$ 10 > 90
Which statement is true about the Internet connection cost?
It costs $5 per hour to connect to the Internet at the gaming store.
The first half hour is free, and then it costs $5 per minute to connect to the Internet.
It costs $10 for each 90 minutes spent connected to the Internet at the gaming store.
Any amount of time over an hour and a half would cost $10.
Save and Exit
Next
Submit
Mark this and return
no

Answers

Answer:the answer is D Any amount of time over an hour and a half would cost $10

Step-by-step explanation:

8. Willow earns $10 per hour working part-time at a diner. Write and solve an inequality to determine
the number of hours, h, Willow must work in a week in order to earn more than $200. Then interpret
the solution.
Willow must work
hours this week.

Answers

Answer:

10h=200

h=20

Step-by-step explanation:

10h=200

10h/10=200/10

h=20

Multiply the number of hours worked (h) by earnings per hour $10 to get

10h

This needs to be more than ( Greater than) 200

Now you have 10h > 200

Solve for h by dividing both sides by 10:

h >20

This means she needs to work more than 20 hours this week.

What is the slope of this please help as quick as possible :)

Answers

Answer:

-.5 or -1/2

Step-by-step explanation:

rise over run

you rise 2 and run left 4

the slope is negative

PLS HELP ASAP THIS IS DUE TODAY SOON I NEED ANSWERS FOR BOTH THE PROBLEMS CAN U WORK THEM OUT FOR ME PLS

Answers

the prime factorization of 140 is 2^2 x 5 x 7

the prime factorization of 80 is 2^3 x 5 x 2

For the data set 4, 5, 10, 11, 15, the mean, x, is 9. What is the standard deviation?

Answers

The standard deviation is 4.05

Answer: A

Step-by-step explanation:

4.1

Solve the system by substitution.

3r + y = 5
5x – 4y = -3

The solution is?

Answers

Can’t solve, because you have only two equations and three variables.

TWENTY POINTS!!! PLEASE HELP!!!
Find Greatest Common Factor:

33x^5y^7-99x^6y^9-66x^5y^8

Answers

ANSWER: uhm I guess it’s nine and six but I guess technically it’s ^ hope this helped

help pls I really need it

Answers

The answer is 2in because 6in+6in=12in so that means 1in+1in=2in :)

Simplify 18.1 - 1.1(7.4 - 9.6 + 0.5).

Answers

The answer to this question is 17

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

I think yes because it doesn't really matter how long the sides are as long as its 180°

Step-by-step explanation:

I actually hope this is right and that it helped!

Answer:

yes because it doesn't really matter how long the sides are as long as its 180°

Step-by-step explanation:

18 = 0.29 so 20 = ???

Answers

Answer:

x=29/90 or 0.3222222

Step-by-step explanation:

ok, rewrite the question as a ratio

18/0.29=20/x, cross multiply

18x=.29*20, evaluate x

18x=5.8

x=29/90 or 0.3222222

29

Step-by-step explanation:

29/90

If a 200-mile trip takes 4 hours to com- plete, the average speed is

A. 30 miles per hour.

B. 40 miles per hour.

C. 50 miles per hour.

D. 60 miles per hour.​

Answers

Answer:

Step-by-step explanation:

if you need 4 h to complete a trip of 200 miles

200/4=50 miles/hour

Work out volume of this sphere leave your answer in terms of pi

Answers

Answer:

36pi

Step-by-step explanation:

Volume formula = 4/3 × pi × r^3

5 + 11y + 9 what is the answer

Answers

Answer: 11y+14

Step-by-step explanation:

add 5 plus 9 (14) then add that with 11y. you get 25. then add the y. 25 y

Georgia’s gross pay was $35,600 this year. She is to pay a federal income tax of 16%. How much should Georgia pay in federal income tax this year? Round to the nearest dollar.

Answers

35,600/100*16=$5696.....

Answer:

C on Edg

Step-by-step explanation:

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CUCU
3) Which function represents the sequence? 45, 40, 35, 30, 25,-
OA) f(x) = 45x -5
OB) f(x) = 45 - 5(x - 1)
OC) f(x) = 5 - 45(x - 1)
OD) f(x) = 5x + 45
Save
Not Graded
AEDc0
9:28 AM
116/2021
1

Answers

Answer:

B

Step-by-step explanation:

well, the sequence are in the form

[tex]a1, a2, a3, a4, a5, ... , an[/tex]

a1 = first term = 45

you can plug 1 to any of the option

and ended with B the only function that satisfies what we need

Which of these is an example of the Commutative property of addition? And Explain why? 3+5=4+4 or 3+5=5+3

Answers

Answer:

3+5=5+3

Step-by-step explanation:

a+b=b+a

comunitive property

Answer:

3+5 = 5+3

Step-by-step explanation:

Communative Property states that the numbers on which we operate         (the numbers you use to do addition and multiplication) can be moved or swapped from their position without making any difference to the answer. In your awnser it dosen't matter if you were to swich around the 5 and 3. You would still get the same awnser.

Expand.
(x^2)(x^2-6)

Answers

Answer:

This can be expanded to x⁴ - 6x²

Step-by-step explanation:

[tex]x^2(x^2 - 6)\\= x^4 - 6x^2[/tex]

Answer:

If by expanding you mean solving, you answer is x^4−6x²

Step-by-step explanation:

x²(x²-6)

(x²)(x²-6)

(x²)(x²)+(x²)(-6)

x^4-6x²

Can someone pls help me with this??

Answers

0.25k + 1.5 - k - 3.5

0.25k - k + 1.5 - 3.5

= -0.75k - 2

Answer:

[tex] - 0.75k + - 2[/tex]

Step-by-step explanation:

[tex]0.25 k- 1k[/tex]

[tex]1.5 - 3.5[/tex]

first you will combined 0.25 K - k and you will get -0.75

then combine 1.5-3.5 and get -2

Tennis balls are stored in a cylindrical container with height 21 centimeters and diameter 7 centimeters. Three tennis balls fit in one container.
a. Find the volume of the container.
b. Find the volume of a tennis ball.
c. Find the percentage of the container taken up by the tennis balls.

Answers

Solution :

Given that :

Height of the cylinder, h = 21 cm

Diameter of the cylinder, d = 7 cm

Radius = 3.5 cm

Number of balls fits in the cylindrical container = 3

a). The volume of the container is given by

     [tex]$V = \pi r^2 h$[/tex]

         = 3.14 x 3.5 x 3.5 x 21

         = 807.76 cm cube

       

b). Volume of each tennis ball is given by :

     [tex]$V=\frac{4}{3}\pi r^3 $[/tex]

    [tex]$V=\frac{4}{3}\times 3.14 \times (3.5)^3 $[/tex]

       =  179.50 cm cube

c). Volume of three tennis balls = 3 x 179.50

                                                    = 538.50 cm cube

    Therefore, percentage of the container taken up by the three tennis ball is :

[tex]$=\frac{807.76 - 538.50}{538.50} \times 100$[/tex]

= 50 %

 

Identify each point as a solution of the system or not a solution of the system.
7 6 5 3 2
23
4 5
6
7
-1
5
(0,4)
(-2,4)
(0,5)

Answers

Answer:

I think it is ether-1 or o,5

Answer:

Did you got the answers for this whole I need them please

Please also explain how you did it! Thank you

Answers

Answer:

66 degrees

Step-by-step explanation:

360 degrees in a circle

102 and 144 make up the circumference of LPN

LMN however is still to be determined... which is 360-(102+144) = 114

Therefore, LMN = 114 degrees. Using a thereom (I forget which one), the corresponding angle to LMN is LPN.

To find angle LPN (180-114) = 66

The function h(t)= -16t2+ 8t+ 4 models the height of a ball over time as it bounces off the edge of a table.

Answers

Answer:

try 1/4

Step-by-step explanation:

Lin runs 5 laps around a track in 8 minutes.
a. How many minutes does it take to run 1 lap?
b.
How many laps did Lin run in 1 minute?

Please hurry

Answers

Answer:

1.2 minutes, hope this helps (owo)/

Step-by-step explanation:

They got the 1.2 minutes by taking the total number of minutes (6) and dividing them by the number of laps run (5). So 6 divided by 5 gives you the 1.2.

1. What is the 15th partial sum of the geometric sequence {262,144; 32,768; 4,096; 512; ..)? Round to the nearest whole number, if needed.

Answers

use the calculator 2949472

What is the equation for proportions? What does each letter represent?

Answers

Answer:

Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."

Step-by-step explanation:

look at the attachment.

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