Find the coordinates of the vertex of g(x) = |x + 1| - 2.

A. (-2, -1)
B. (-2, 1)
C. (-1, -2)
D. (1, -2)

Answers

Answer 1

Answer:

The vertex will be at ( -1,-2)

Step-by-step explanation:

g(x) = |x + 1| - 2.

The vertex of g(x) = |x |  is ( 0,0)

y = f(x) + C C < 0 moves it down  

y = f(x + C) C > 0 moves it left

We shift this  to the left 1 unit and down 2 units

( 0 -1, 0-2)

The vertex will be at ( -1,-2)

Answer 2

Given: g(x) = |x + 1| - 2.

We start at g(x) = |x| at (0, 0)

c < 0 moves it down

y = f(x) + c

2 units down

c > 0 moves it left

y = f(x + c)

1 unit to the left

After the shift, we see the vertex being at (-1, -2).

Best of Luck!


Related Questions

what is a number expression that equals 68​

Answers

4+5

134_75

56.4+6

68/8.7_2+1

Help ASAP and explain why ?!

Answers

Answer:

A

Step-by-step explanation:

The area equal to a square that is 1 centimeter on each side.

Help me please!!!!!!!!!!!!!!!

Answers

Answer:

The answer is D

Step-by-step explanation:

There are 6 black circles and 2 red circles which could be written as 6 + -2, the positive sign from will turn into a negative bc if the -2, so then it would be 6-2=4

The purple shape is a dilation of the black shape. What is the scale factor of the dilation?

Answers

The scale factor of this dilation is 4

The robotics team needs to purchase $350 of new equipment. Each of the students on the team plans to fundraise and contribute equally to the purchase. Which expression represents the amount that each student needs to fundraise? Which expression represents the amount that each student needs to fundraise? Explain your thinking.​

Answers

Answer:

s = students, m = money they pay

S(M)=350

The expression that represents the amount that each student needs to fundraise is -  y = [tex]$\frac{350}{x}[/tex]

We have robotics team who needs to purchase $350 of new equipment.

We have to determine the expression which represents the amount that each student needs to fundraise.

In a class of 50 students, it was asked to collect a total of $3000 for NGO funding. Find the amount contributed by each student assuming they all pay the equal amount.

Assume the amount paid by each student be x. Then -

50x = 3000

x = $60

According to the question, we have -

Assume that the number of students in the robotics team are x.

Assume that the money contributed by each member is $y.

Then, the expression represents the amount that each student needs to fundraise is -

xy = 350

y = [tex]$\frac{350}{x}[/tex]

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Faucet A flows at a rate of 100 liters per 5 minutes and Faucet B flows at a rate of 100 liters per 4 minutes into an empty pool. How many minutes do the two faucets take to fill a pool with 9,000 liters of water?

Answers

Answer:

It will take both faucets 200 minutes to fill a pool with 9,000 liters of water

Step-by-step explanation:

Here, we want to know the time it will take for both faucets to fill a pool with 9,000 liters of water

What we need here is to have a joint rate for both faucets;

For the first faucet, we have a rate of 100 liters per 5 minutes so this means in a minute;

100/5 = 20 liters per minute

For the second faucet, the per minute rate will be 100/4 = 25 liters per minute

So therefore, the joint rate will be;

25 liters per minute + 20 liters per minute = 45 liters per minute

So the time needed to fill 9,000 liters of water in a pool will be ;

9000 liters/ 45 liters per minute = 200 minutes

HELP PLZZZZ
What are the solutions to the system of equations graphed below? Select all
that apply.

Answers

Answer:

D(3,0) is correct answer

5+1/5x=-1 plz find the answer

Answers

Answer:

X= -6/5

Step-by-step explanation:

Multiply to remove the variable from the denominator.

Hope this helps.

Answer:

Step-by-step explanation:

x/5 + 5 = -1

x/5 = -6

x= -30

I’m trying to do the math but I keep getting mixed up. I keep forgetting wether or not I should add a zero.

This is the question by the way:

1.09 x 5.4

Answers

5.886 it’s this (: hope it helps

How do you know if a whole number is a perfect square?

A. A whole number is a perfect square if it is divisible by 4.

B. A whole number is a perfect square if its square root is an irrational number.

C. A whole number is a perfect square if it is divisible by 2.

D. A whole number is a perfect square if its square root is a whole number.

Answers

D because if you can square root it into a whole numbers then it’s a perfect square

Lilyworks for a florist. She worked 20hours last week and earned $200.00. At that rate, how much will she earn if she works for 10 hours?

Answers

Answer:

$100

Step-by-step explanation:

Answer:

$100

Step-by-step explanation:

She will earn $100 because since 20 is just 10 times 2, she will earn half as much as she did in 20 hours. 200/2 is 100.

HELP!!! what is the answer to this 5(2)+5(7)

Answers

Answer:

45

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

5(2) + 5(7)

Step 2: Multiply

10 + 35

Step 3: Add

45

Answer:

45

Step-by-step explanation:

Parenthesis means you would need to multiply

so

(5 x 2) + (5 x 7)

= 10 + 35

add

= 45

Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did. How many video games did Austin sell, given they had the same number of video games left?

Answers

Answer:

The answer is 7 video games

Step-by-step explanation:

The number of video games Austin sold will be 4.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did.

Let x be the number of video games sold and y be the number of video games left. Then the equations will be

y = 26 - x

y = 40 - 3x

From equations 1 and 2, then we have

26 - x = 40 - 3x

3x - x = 40 - 26

2x = 14

x = 4

The number of video games Austin sold will be 4.

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Find the distance between the points L(7, -1) and M(-2, 4).

Answers

Answer:

(5-5)

Step-by-step explanation:

hope this helped

Answer:Not correct

Step-by-step explanation:

I need a fast answer !! A bag has 7 blue marbles and 3 red marbles. What is the probability of drawing two red marbles, if the first marble is replaced after it is drawn? A. 1/7 B. 1/3 C. 3/10 D. 9/100

Answers

Answer:

Step-by-step explanation:

9/100 i believe as you would multiply 3/10 by 3/10 due to the fact the marble is being replaced so the probability of getting a red marble the second time will be more unlikely. If I'm right please thank me or give me brainly. Hope this helps :)

The probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of drawing a red marble on the first draw is 3/10, since there are 3 red marbles out of a total of 10 marbles.

Since the first marble is replaced before the second draw, the probability of drawing a red marble on the second draw is also 3/10.

To find the probability of drawing two red marbles in a row, we multiply the probabilities of the individual events, since they are independent:

P(drawing two red marbles) = P(red on first draw) × P(red on second draw)

P(drawing two red marbles) = (3/10) × (3/10)

= 9/100

Therefore, the probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.

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The volume of a box 4inches wide and 2 inches high and 5 inches long is

Answers

Answer:

40

Step-by-step explanation:

4x2x5=40, the formula for volume is LxWxH=V length times width times height

Eliza's backpack weighs 18 and StartFraction 7 over 9 EndFraction pounds with her math book in it. Without her math book, her backpack weighs 14 and StartFraction 7 over 8 EndFraction pounds. How much does Eliza's math book weigh?

Answers

Her math book ways 3.9027 pounds or 3 65/72 pounds.

its B sorry if Im wrong have a nice day

What is the product of (negative 6) (negative 7) (negative 1)?
–42
–14
14
42

Answers

Answer:

-42

Explanation:

(-6)(-7) = 42

(42)(-1) = -42

Get a calculator homie.

Answer:its negative 42

Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound. To determine the number of pounds of tomatoes that she bought, x, Carina wrote and solved the equation as shown below.

3.40 + 0.85 x = 5.27. 0.85 x = 8.67. x = 10.2 pounds.

Where, if anywhere, did Carina make an error?
Carina did not make any errors.
The initial equation that Carina wrote was incorrect.
Carina should have subtracted 3.40 from 5.27.
Carina should have divided 8.67 by 0.85.

Answers

Answer:

C. Carina should have subtracted 3.40 from 5.27

Step-by-step explanation:

I'm just smart like that

--

Brianna Edwards

e d g e n u i t y things

Thanks

-ReMiNdEr: Always vote brainliest

The mistake that Carina made is she should have subtracted 3.40 from 5.27.

How many pounds of tomatoes was bought?

 The equation that represents the total amount spent is: $5.27 = $3.40 + $0.85x

In order to determine the value of x, take the following steps:

Combine similar terms: 5.27 - 3.40 = 0.85Add similar terms: 1.87 = 0.85xDivide both sides of the equation by 0.85: 2.2 pounds

To learn more about addition, please check: https://brainly.com/question/349488

Suppose f(x)=4x-2 and g(x)=-2x+1. Find the value of f(5)/g(-3)

Answers

Answer:

17/7 (2 3/7 or 2. 428571...)

Step-by-step explanation:

f(x) = 4x-2

Find f(5)

f(5) = 4(5)-3f(5) = 20-3f(5) = 17

g(x) = -2x+1

Find g(-3)

g(-3) = -2(-3)+1g(-3) = 6+1g(-3) = 7

Find f(5)/g(-3)

f(5)/g(-3)17/7 (2 3/7 or 2. 428571...)

The value of f(5)/g(-3) will be 18/7.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The value of the function are,

⇒ f (x) = 4x - 2 and

⇒ g(x) = -2x + 1

Now,

Since, The value of the function are,

⇒ f (x) = 4x - 2 and

⇒ g(x) = -2x + 1

Hence, We get;

⇒ f (5) = 4 × 5 - 2

          = 20 - 2

         = 18

And, g (- 3) = - 2 × - 3 + 1

⇒ g (-3) = 6 + 1

            = 7

Thus, The value of f(5)/g(-3) = 18/7

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3. A $1,250 deposit for 10 years at a simple interest rate of 5.25%​

Answers

Step-by-step explanation:

I=(pxRxt)/100

I=(1250×5.25×10)/100

I=656.25

amount to be paid is $1906.25 pls give me brainliest

enter in the number below that will make the right expression equivalent to the left expression:
1. 7+2+n=____+n
2. (3+7)+6=____+6
3. 2+(3+7)=2+___
4. 10+2+5=____
5. 7+(-4)+3=____+3
6. -11+8+n=____+n

Answers

1.9+n
2.10+6
3.2+10
4.17
5.3+3
6.-3+n

3. Find the solution set for this inequality:
-4(3x - 5) < 2(3x + 4)

Answers

Answer:

Step-by-step explanation:

x>2/3

evaluate the expression -8 + (-15)​

Answers

Hey there!

ANSWER: [tex]-23[/tex]EXPLANATION:

[tex]-8+(-15)[/tex]

To easily solve this, try removing the negative and add 8 + 15.

[tex]8+(15)=23[/tex]

Now add back the negative.

[tex]-8+(-15)=-23\\-23(ANSWER)[/tex]

Hope this helps and have a great weekend!

[tex]\text {-TestedHyperr}[/tex]

It costs $200 for 12 piano lessons . Solve for unit rate or price per one lesson . Can someone help me please ?

Answers

Answer:

it is 16 dollars

Step-by-step explanation:

if you divide 200 by 12 it is 16 aka i used my calculator

Answer:

each lesson would cost $16.70

Use elimination to solve and match each system of equations to the correct solution.
2x-9y=-51
2x-3y=-9

Answers

Answer:

2x-9y=-51

2x-3y=-9

subtract question ii from i we get

-6y = -42

y =7

put value of y in 1

2x - 63 = -51

2x= 8

x=4

Help me plz!!!!!!!!!!!!

Answers

16 is the answer (99% sure) :)
the answer is 16.

explanation: it is given that the ratio is 5:3 (lillies to daisies). In order to get ten lillies, you would have had to multiply 5 by 10. Since it is a ratio, you have to do the same to the dasies, and you would get 6 dasies. 10+6=16, which is the total amount of flowers.

() + -8= -6 what is the awnser

Answers

Answer:x=2

Step-by-step explanation:

change () to x

x + -8= -6

-6+8=2

x=2

The number 480 was changed to 4.8 times a

Answers

Answer:

100

Step-by-step explanation:

480/4.8=100

4.8x100=480

solve for v bellow. 8(z-5)=16

Answers

Answer:

z=7

Step-by-step explanation:

8(z-5)=16

Divide by 8

8/8(z-5)=16/8

z-5 = 2

Add 5 to each side

z-5+5 = 2+5

z = 7

Answer:

z = 7

Step-by-step explanation:

Expand 8 ( z - 5 ) = 16 first.

8z - 40 = 16

Move 40 to the other side.

8z = 40 + 16

8z = 56

z = 7

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