Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex of the graph of y = (x - 1)2+3?

Answers

Answer 1

Answer:

[tex]g(x) = (x-6)^2 +3[/tex]

Step-by-step explanation:

Given

[tex]y = (x - 1)^2 + 3[/tex]

Required:

Shift 5 units to the right

f(x) = (x + 2)^2 + 2

 

The parabola is written as:

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

Where [tex](h,k)[/tex] is the vertex

Compare [tex]y = a(x-h) ^2 +k[/tex] to [tex]y = (x - 1)^2 + 3[/tex]

The vertex is:

[tex]Vertex =(1,3)[/tex]

 

Shift 5 units to the right

The rule is:

[tex](x,y) \to (x + 5,y)[/tex]

So, we have:

[tex](1,3) \to (1 + 5,3)[/tex]

[tex](1,3) \to (6,3)[/tex]

The new function is:

[tex]g(x) = a(x-h) ^2 +k[/tex]

[tex]g(x) = (x-6)^2 +3[/tex]


Related Questions

Find the total surface area:

Answers

Answer:

SA = 176 in²

Step-by-step explanation:

SA = (4 x 9 x 4) + (2 x 4 x 4) = 176 in²

Answer:

None of the above (144)

Step-by-step explanation:

A = l x w x h

B = 36

h = 4

9 x 4 = 36

36 x 4 = 144

Let me know if this helps!


Hal has a steel barrel with a diameter of 6 feet that can be filled to a depth of 4.6 feet with oil. What is the volume of the barrel?
Use = 3.14
OA 93.696 cubic feet
OB. 154.116 cubic feet
OC. 129.996 cubic feet
OD 124.2 cubic feet

Answers

Answer:

129.996 cubic feet

Step-by-step explanation:

Assuming that the barrel is a perfect cylinder, we can use the formula to find the volume:

[tex]\pi(r)^2(h)[/tex]

First, we have to find the radius, which is:

D = 2r

So the radius is 3 feet, since it is half of the diameter. Then, we plug in the values.

[tex]3.14(3)^2(4.6)[/tex]

Now, we solve. Exponents are first...

3.14(9)(4.6)

Now multiply left to right.

28.26(4.6)

129.996 cubic feet

Therefore, the barrel can hold 129.996 cubic feet of oil. Hope this helps you!

What is the value of c in the equation below?

5^5/5^2 = a^b = c.

a.)3
b.)5
c.)125
d.)625

Answers

Answer:

C

Step-by-step explanation:

i have the question and got it

Answer:

c.) 125

Step-by-step explanation:

5^5/5^2 = a^b = c.

5^5/5^2 = 5^(5–2) = 5^3 = = 125.

5^3 = 1 • 5 • 5 • 5 = 25 • 5 = 125.

0 1 2 3

Which solid has the top, side, and front views given
please help me I’m
In an exam!

Answers

Answer:

I.  most probably

Hope it helps!!!

Step-by-step explanation:

How do I k1II myseIf painIessly? Please don’t try to make me feel better, i’ve heard a lot of phrases, it does not help. I want to get out of here, out of this worId.

Answers

Answer:

Learn to accept love. Or talk to me. I've dealt with this before, and I know I might not be the most reassuring, and maybe you don't care about me one single bit, but at least try. Despite what you think, there's got to be someone that wants you to remain alive.

Find the 13th term of the arithmetic sequence – 2x + 8, 4x + 2, 10x – 4, ...
The other answer I found for this was wrong pls help !!

Answers


-2x+12*6x+8-6*12=70x-64
the answer is actually 70x-64 hope this helped you :)

-90=-100+× I need help ​

Answers

x = 10

Hope this helps!

Answer:

x = 10

Step-by-step explanation:

-90 = -100 + x

-90 = -100 + 10

Have a nice day!

and can I maybe have brainliest?

17.3% of 45.94km Give your answer rounded to 2DP

Answers

Answer:

7.95km

Step-by-step explanation:

change 17.3% to a percent
0.173 x 45.94 = 7.947
rounded is 7.95

These questions are about parallel lines and similarity. I’m stuck on all the questions, so please help if you can.

Answers

Step-by-step explanation:

option number of b is write


The ratio of boys to girls in a group is 53. If there are 24 more boys than girls, work out how
many girls there are

Answers

Answer:

ratio of boys to girl=5:3

let boys be 5x and girls be 3x

5x=3x+24

2x=24

x=12

no. of girls=3×12

=36

Zaria rolls a dice and flips a coin. What is the probability that she will get a number greater than 3 and heads?
Please show steps

Answers

Answer:

Hello love! Well sense we are aiming for heads thats a 1/2 chance sense a coin has two sides heads and tails and sense we are aiming for a numbers higher then 3 on a dice our probability for that will be 3/6 sense the numbers higher then 3 on a dice our 4, 5 and 6 so we would multiply those probability so 1/2 x 3/6 and that equals our answer 1/4

Can someone help me with this?

8x10^9
———-
5x10^4

Write answer in scientific notation
(Will give brainliest)

Answers

Answer:

1.6 x 10^4

Step-by-step explanation:

(8/5) x 10^9-5

1.6 x 10^4

Ms.sosa's principal gave her $350 to spend on school supplies at the beginning of the year she bought 10 packs of dry erase marker for 9.98 each and 15 pre sharpened pencil that cost 12.99 each how much does she have left to spend​

Answers

Answer:

I am sooo sorry I really need the points

Step-by-step explanation:

Soooo sorry

Answer:

$55.35

Step-by-step explanation:

10 x 9.98 = 99.80

15 x 12.99 = 194.85

350 - 194.85 = 155.15

155.15 - 99.80 = 55.35

Write the following phrase as an algebraic expression use b for the unknown.
“A number more than 6”

Answers

Answer:

b>6

Step-by-step explanation:

b is more than 6.

> more than sign

unknown: b
a number more than 6. more than means +
answer is: b+6

help me answer this question

Answers

Answer:

B. c = 3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

c = a/cos(α) = 4.24264 = 3√2

What is the name of the property shown below?
(9 x 2) + (9 x 10) =
9x (2 + 10)

distributive
commutative
associative
identity

Answers

Answer:

108 associative

Step-by-step explanation:

The name of the property shown below is called distributive property.

a) Choose any two points. Consider their locations in the plane. How are they the same? How are they different? Write down at least three things you notice. b) Name the coordinates for each point: A ( , ) B ( , ) C ( , ) D ( , ) E ( , ) c) Make some observations relating coordinates to locations in the plane. (Here is an example: “When the first coordinate is positive, that point is located to the right of the y-axis.” Write down at least three things you notice.

Answers

Answer:

a) Points A and B are symmetrical over the x-axis. Points A and B are on the same location on the x-axis but opposite directions on the y-axis. Points A and B lie on the same vertical line.

b) A (4,3); B (4,-3); C (3,-5); D (-4,-3); E (-5,3)

1. A point with a positive x-coordinate is to the right of the y-axis. [A,B,C]

2. A point with a negative x-coordinate is to the left of the y-axis. [D,E]

3. A point with a positive y-coordinate is above the x-axis. [A,E]

Martin has a bag of marbles. He removed one marble, recorded the color and then placed it back in the
bag. He repeated the process several times and recorded his results in the table. Based on the frequency
table, find the probability of randomly drawing the colors listed below.

Answers

Answer:

I've never attempted probability before but here goes:

1) 27 out of 50 draws

2) 10 out of 50 draws

3) 13 out of 50 draws

4) 40 out of 50 draws

Step-by-step explanation:

50 draws so:

red 12:50

blue 10:50

green 15:50

yellow 13:50

Answer:

Below

Step-by-step explanation:

Here:

Odredi sve cijele brojeve z sa svojstvom [z]=3​

Answers

Answer:

yes

The equation is correct :)

Step-by-step explanation:

What’s ur question ? Lol

Giving brainlist to whoever answers this question

Answers

Answer:

44

Step-by-step explanation:

6x +22 + 7x + 16 = 90

13x +38 =90

13x = 52

x = 4

7 x 4 +16 = 44

Work on the screenshot

Answers

Answer:

12 gallons

Step-by-step explanation:

If it takes 20 h for 5 gallons to be filled, it takes 4 h for 1 gallon to be filled. This is the ratio. You multiply 4 h by 12 to get 48 h, so you multiply 1 gallon by 12 as well. This is 12 gallons.

The answer is 10.1 gallons

A quadrilateral has angle measures of 50 degrees, 92 degrees, and 95 degrees. What is the measure of the fourth angle? Explain in detail how you used math to come to your answer. Hint: The sum of the angles of any quadrilateral is 360 degrees. (How would you solve it?

Answers

Answer:

?∠ = 123°

Step-by-step explanation:

? = 360 - 50 - 92 - 95 = 123°

Is this a bad grade ?
I got 68.4%
6.8 right answer
And 3.2 wrong answer

The test had 10 question?

Answers

Answer:

If its a passing grade then no its not. :D

Step-by-step explanation:

Depends on what your parents say.

A scientist is working with 16 meters of gold wire how long is the wire in millimeters

Answers

Answer:

16000 milometers

Step-by-step explanation:

Information related to Bramble Co. Is presented below. 1. On April 5, purchased merchandise on account from Tamarisk Company for $41,700, terms 2/10, net/30, FOB shipping point. 2. On April 6, paid freight costs of $790 on merchandise purchased from Tamarisk. 3. On April 7, purchased equipment on account for $27,100. 4. On April 8, returned damaged merchandise to Tamarisk Company and was granted a $5,700 credit for returned merchandise. 5. On April 15, paid the amount due to Tamarisk Company in full.

Answers

Answer:

See below for the journals.

Step-by-step explanation:

Note: The instructions of the question are as follows:

Instructions

(a) Prepare the journal entries to record these transactions on the books of Bramble Co. using a periodic inventory system.

(b) Assume that Bramble Co. paid the balance due to Tamarisk Company on May 4 instead of April 15. Prepare the journal entry to record this payment.

The journal entries will look as follows:

(a) Prepare the journal entries to record these transactions on the books of Bramble Co. using a periodic inventory system.

Date       Details                                    Debit ($)         Credit ($)            

April 5    Inventory - merchandise        41,700

               Accounts Payable                                             41,700

               (To record the purchase of merchandise inventory on account from Tamarisk.)

April 6      Inventory                                     790

                Cash credit                                                          790

                 (To record the payment of freight costs on merchandise.)    

April 7       Equipment                              27,100

                 Accounts Payable                                            27,100

                 (To record the purchase equipment on account.)                      

April 8       Accounts Payable                    5,700

                  Inventory                                                            5,700

                  (To record the return of damaged merchandise to Tamarisk.)

April 15       Accounts Payable (w.1.)         36,000

                   Cash (w.3.)                                                       35,280

                   Inventory (discount) (w.2.)                                    720

                    (To record the payment of the amount due to Tamarisk Company in full.)

(b) Assume that Bramble Co. paid the balance due to Tamarisk Company on May 4 instead of April 15. Prepare the journal entry to record this payment.

Date       Details                                    Debit ($)         Credit ($)                

May 04  Accounts payable (w.1.)         36,000

              Cash                                                                 36,000

              (To record the payment of the amount due to Tamarisk Company in full.)

Working:

For the payment made on April 15, this implies the payment was made within 10 days and that Bramble Co. will enjoy 2% discount. Therefore, we have:

w.1. Accounts payable = Beginning inventory – Returns = $41,700 - $5,700 = $36,000

w.2. Discount = w.1. * 2% = $36,000 * 2% = $720

w.3. Cash = w.1. – w.2. = $36,000 - $720 = $35,280

someone please help me.. i can’t figure out what to do. but i need this explained step by step so i know what to do next time.

Answers

Answer:

Step-by-step explanation:

½(x-2) = 8 + 5x

Multiply both sides by 2

2⋅½(x-2) = 2(8 + 5x)

1(x-2) = 2(8 + 5x)

Apply the distributive rule

x - 2 = 16 + 10x

Subtract x from both sides

-2 = 16 + 9x

Subtract 16 from both sides

-18 = 9x

Divide both sides by the coefficient of x

-18 ÷ 9 = 9x ÷ 9

-2 = x

What does x equal in this question

Answers

Theirs a trick to cheat on khan academy

1) Turn off Wifi
2) Go to hint and get the answer
3) Take picture of answer or remember it
4) Go to inspect element ——> arrows that look like this “>>”—> Application—-> Local Storage (click it until it says khan academy .com etc then click that then go to “X” by value and next to it click that then turn on wifi and put the answer

Hey guys please help me on this I will give you brainliest
I need you to show your work and if you do you will get brainliest

Answers

Answer:

1. 15-5x 2. 54+18x 3. 3x+15 4. 28x+56

Step-by-step explanation:

I dont get  if you need this or the real answer if you need the real answer let me know and I will give you the real answer. :) Have a good day!

help pleaseeeeeeeeeeeeeeeeeeeeeeee

Answers

Theee answerr is 19.

hope this helps

Someone help pls :,)

Answers

Answer:

W = 87 degrees

Step-by-step explanation:

First we can rearrange the question so that W is isolated on the left side, which we do by dividing both sides by tan:

tanW/tan = 19.0811/tan

W = 19.0811/tan

Now we can use the inverse tan function on the calculator ([tex]tan^{-1}[/tex]) to calculate it:

W = 19.0811 x [tex]tan^{-1}[/tex]

W = 87 degrees

Hope this helped!

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