What is the vertical shift for the absolute value function below. Explain how you know using complete sentences. Include the direction and number of units of the shift. f(x)=9|x+1|+2

Answers

Answer 1

The vertical shift of the function [tex]f(x) = 9|x + 1| + 2[/tex] is 2 units up

The absolute function is given as:

[tex]f(x) = 9|x + 1| + 2[/tex]

An absolute function is represented as:

[tex]f(x) = a|x - h| + k[/tex]

Where k represents the vertical shift.

By comparison, the value of k is:

[tex]k = 2[/tex]

This means that the vertical shift is 2 units

Hence, the vertical shift of the function [tex]f(x) = 9|x + 1| + 2[/tex] is 2 units up

Read more about absolute value function at:

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Related Questions

Josh drives 504 miles in 8 hours. At the same rate, how many miles would he drive in 5 hours?

Answers

Answer:

315 miles

Step-by-step explanation:

The unit rate is 63 miles per hour, and 63×5=315 miles.

[tex]\begin{array}{ccll} miles&hrs\\ \cline{1-2} 504&8\\ x&5 \end{array}\implies \cfrac{504}{x}=\cfrac{8}{5}\implies 2520=8x\implies \cfrac{2520}{8}=x\implies 315=x[/tex]

A bag contains 4 red balls and 6 blue balls. If 3 balls are selected at random, find the probability of selecting 3 red balls?

Answers

The probability is 4⋅3⋅2⋅1/10•9•8•7=(4/4)(6/0)/(10/4)=1/210 so the probability of selecting 3 red balls would be 1/210

A shuffled deck of cards is placed facedown on the table. It contains 7
hearts, 8 diamonds, 6 clubs and 3 spades. What is the probability that the top two cards are one of the clubs followed by one of the heartS?

Answers

Answer:

3/23 x 5/23 = 15/529 = 2.84%

Answer:

First find the total of 7 hearts, 8 diamonds, 6 clubs and 6 spades which is 24 altogether. Therefore we are talking about 4 types of cards. I therefore think the probability will be 2/24

help me plssssssssssssssssssss

Answers

Answer:

Both the median and mean are 13

Christina has 6 pieces of candy in her lunchbox. Rachel gives Christina more pieces of candy. Now Christina has 18 pieces of candy. How many pieces of candy did Rachel give Christina?

Answers

18 - 6 = 12

When subtracting the new amount by the original amount, you will find the change or the amount that Rachel gave

18 - 6 = 12

So, Rachel gave Christina 12 pieces of candy.

Answer:

18-6=12

She gave her 12 more pieces of candy.

hope this helps.

15 POINTS AND BRANLIEST

Find the area of the figures below

Answers

[tex]Area = \frac{(6 + 10) \times 7}{2} \\ [/tex]

[tex]Area = \frac{16 \times 7}{2} \\ [/tex]

[tex]Area = \frac{2 \times 8 \times 7}{2} \\ [/tex]

[tex]Area = 8 \times 7[/tex]

[tex]Area = 56 \: \: {in}^{2} [/tex]

Answer:

Area: [tex]56in^2[/tex]

Step-by-step explanation:

The formula for the area of a trapezoid is:

[tex]A = \frac{a+b}{2}h[/tex]

so replacing with the given values we get:

[tex]a = 6in\\h = 7in\\b = 10in[/tex]

[tex]A = \frac{6in+10in}{2}7in = 56in^2[/tex]

So our final answer is [tex]56in^2[/tex]

divide,write in simplest form 6 1/2 divided by 3/4

Answers

Answer:

Step-by-step explanation:

Answer:

8 2/3

Step-by-step explanation:

6 1/2 / 3/4

Improper fractions:

[tex]\frac{13}{2} /\frac{3}{4}[/tex]

Reciprocal:

[tex]\frac{13}{2}*\frac{4}{3}[/tex]

Simplify:

[tex]\frac{13}{1}*\frac{2}{3}[/tex]

Solve:

[tex]\frac{26}{3}=8\frac{2}{3}[/tex]

I need help with this

Answers

Answer:

check online for more information

(GIVING BRAINLIEST AND 15 POINTS FOR ANSWER) Solve five and three sixths minus two and one third.
Two and three eighteenths
two and two ninths
three and two ninths
three and three eighteenths

Answers

Answer:

three and three eighteenths

5 3/6 = 33/6

2 1/3 = 7/3 = 14/6

33/6 - 14/6 = 19/6 = 3 1/6 or 3 3/18

Help help help math math math

Answers

Answer:

x=12

Step-by-step explanation:

[tex](4x + 15) + (x + 5) = 180 \\ 5x + 20 = 180 \\ 5x = 60 \\ x = 12[/tex]

Answer:

12

Step-by-step explanation:

Which of the following best describes the relationship between the variables on the scatter plot below?


A.
positive and negative association
B.
positive association
C.
negative association
D.
no association

Answers

A Perform the indicated operations. Show your solution in the given space below.

Answer:

C Negative Association

Step-by-step explanation:

Youll notice how the overall "line" of the graph goes down, the dots on the graph proceeding into the negative

In need of help pls. Try and answer asap.

Answers

Answer:

Step-by-step explanation:

∠1 and 85 are supplementary

m∠1 = 180 - 85 = 95°

SOSSSS:

Find all the values of x between 0 and 4 for which 3 cos(2x - 1) = 2

Answers

Answer:

0.29 π(52.5°)

Step-by-step explanation: here is the explanation

Marco buys a wooden board that is 12 feet long. The cost of the board is $1.25 per foot, including tax. What is the total cost, in dollars, of Marco's board?​

Answers

The cost of the length of wood Marco buys depends on the price of the wood.

The total cost in dollars of Marco's board is $15

Reasons:

The length of the wooden board Marco buys (quantity) = 12 feet

The cost of the board per foot, including tax (price) = $1.25

Let x represent the percentage of the tax applied to the total cost, and let y represent the cost before tax, we have;

Cost per foot, C₁ = 1.25 = y + x·y

The cost of 12 feet of the wooden board is given by the proportional relationship between cost, price and quantity as follows;

Cost = Price × Quantity

The cost of 12 feet of the wood is therefore;

Cost of 12 feet, C₁₂ = 12 × y + 12 × x·y = 12 × (y + x·y) = 12 × $1.25 = $15

The cost of 12 feet of wood = $15

Learn more about proportions here:

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Two wheelchair ramps, each 10 feet long, lead to the two ends of the entrance porch of Mr. Bell's restaurant. The two ends of the porch are at the same height from the ground, and the start of each ramp is the same distance from the base of the porch. The angle of the first ramp to the ground is 24°.

Answers

Answer:

It must have an angle of exactly 24°.

Step-by-step explanation:

Answer:

It must have an angle of exactly 24°.

Step-by-step explanation:

I got a 100% on my mastery test

Help me please I don’t know what to do

Answers

Answer: A. positive relationship

Step-by-step explanation:

The scatter plot seems to be slanting up from the left to the right.

Correct me if I am incorrect.

What is 9 + 10 I do not know

Answers

Answer:

21, jk its 19 if you really dont know

Step-by-step explanation:

Answer:

9 + 10 = 19

just add it

hope it helps

please HELPPP!!!!!!!!!!!!!!!!

Answers

Answer:

40,44,48,52

Step-by-step explanation:

These are multiples of 4 because 4 can be multiplied into all of them like

4x11=44

4x10=40

4x12=48

4x13=52

Which ordered pair is a solution of the inequality
y < 3x + 1?
(-3,-2) (1,-3) (3,14) (1,6)

Answers

Answer:

the answer is the 4 option

Debra spends 42 minutes each day driving to work. About how many minutes does she spend driving to work each month?​

Answers

Answer:

given,

time spent each day for driving to work = 42 mins time spent for driving work each month ( m ) = ?

we know ,

1 month is equal to 12 days

so,

m = 42× 12

= 504

hence, Debra spends 504 minutes driving each month.

Litter cleanup volunteers form 4 groups containing v volunteers
each. Then 10 more volunteers show up. The volunteers regroup
into 5 groups each containing 6 people. How many volunteers
were in each original group? Write an ALGEBRAIC EQUATION and solve to answer the question.

Answers

mom will let you know

Step-by-step explanation:

shes gone

Ax+2y=10 through the point (4,3) find the missing coeffecient

Answers

Hi,

Ax + 2y = 10

A*4 + 2*3 = 10

4a + 6 = 10

4a = 4

a = 1

( 4 ; 3 )

↓ ↓

x y

✅(•‿•)

The shape of f(x) = x^3, but shifted four units to the left, eight units down, and then reflected in the y-axis (in that order)

Answers

Answer:

steps below

Step-by-step explanation:

f(x) = x³

1. shifted four units to the left: f'(x) = (x+4)³

2. eight units down: f''(x) = (x+4)³ - 8

3. reflected in the y-axis: f'''(x) = (-x+4)³ - 8

The final shape after the transformation is f(x) = -(x + 4)³ - 8.

Original function: f(x) = x³

Shifted four units to the left: f(x) = (x + 4)³

Shifted eight units down: f(x) = (x + 4)³ - 8

Reflected in the y-axis: f(x) = -(x + 4)³ - 8

Hence, the final shape of the function after these transformations is f(x) = -(x + 4)³ - 8.

Learn more about transformation here:

https://brainly.com/question/10904859

#SPJ3

Question 4 (Essay Worth 1 points)
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of 4








Help please

Answers

Answer:

2

Step-by-step explanation:

Pls help asap thank you

Answers

Answer: I worked at the pizza place in Chucky cheese since i was little. I grew up and became manager. Then i sabotaged everyone there. I’m gonna cry right now . miss that job so much. I think I might….

Henry goes to the carnival with 3
friends. They each ride 5 rides at
$5.50 per ride. Two of them buy an
ice cream cone for $2.00 each. Henry
buys a hot dog for $4.00 and his
friend has a hamburger for $3.00.
Each of the 4 friends buys a drink for
$1,75. What is the total amount they
spend at the fair?

Answers

Answer:

$5.50 x 5 =  $27.5

$27.5 x 4 =  110$

$2.00 x 2 = $4.00

$4.00

$3.00

$1.75 x 4 =  7$

27.5 + 110 + 4.00 + 4.00 + 3.00 + 7 = 155.5

Step-by-step explanation:

can you me as brainliest if its right?\

my first answer was wrong

3 x 5 = 15 rides
15 x 5.50 = $82.50
2 x 2 = $4
+ $2
+ 3
4 x 1.75 = $7
= $98.50
that’s what i got

-5+i/2i ????
please help!

Answers

[tex]-5+\frac{i}{2i} = -5+\frac{1}{2}=-\frac{9}{2} =-4.5[/tex]

ok done. Thank to me :>

IS IT 60 SOMEONE PLEASE TELL ME THE RIGHT ONE !!!

Answers

Answer:

60 is the answer you're welcome

IS IT 60 CAN SOMEONE TELL DID I CLICK IT RIGHT ?

Answers

hi how have you been and i think u did get it right

True or false: 1-51 = -5?

Answers

Answer:

False

Step-by-step explanation:

Absolute value gives you a positive answer

Answer:

False

Step-by-step explanation:

The left side  

− 50  does not equal to the right side  − 5 , which means that the given statement is false.

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