What is the vertex of the absolute value function defined by ƒ(x) = |x - 2| - 7?

(2,-7)
(2,7)
(-2,7)
(-2,-7)

Answers

Answer 1
ExplanationModulus Function

[tex]y = a |x - h| + k[/tex]

The structure or equation is similar to a quadratic function.

The value of a determines the slope of graph.

Tthe value of h determines the horizontal shift of graph.

The value of k determines the vertical shift of the graph.

From the given equation,

[tex]f(x) = |x - 2| - 7[/tex]

We can say that the graph shifts to the right 2 units and shifts down 7 units. Hence the vertex would be at x = 2 and y = -7. It can be written in coordinate form as (2,-7).

Answer

[tex] \large{(2,-7)}[/tex]


Related Questions

Erica buys a new backpack that has an original price of $50. She uses a coupon that saves her 20% off the original price. How much money did she save? SHOW YOUR WORK!​

Answers

First you find 10% of 50 which is 5 and then to find 20% you just double that amount, 20%= $10.
Answer: Erica saved $10.

work:
$50 by %20 is $10

plsss ined help. 1 what is the common difference and the next thre terms of the sequence. 4, 7, 10, 13, 16, ...

Answers

Answer:

They all increase at a rate of 3 (but aren't multiples) and the next 3 are 19, 22, 25

Step-by-step explanation:

To be honest, I don't know a better way to put this than to look at where it starts with 10 and it keeps progressing by 3.

What ratio in simplest form. 36:12

Answers

Uh uh uh uh uh 3:1??

Erica watched 1 4 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 2 3 of the movie left to watch. How much of the movie did Erica watch at night?

Answers

Answer:

1/6 of the movie

Step-by-step explanation:

A polygon has a perimeter of 18 units. It is dilated with a scale factor of 3/2 what is
the perimeter of its image?

Answers

Answer:

A

Step-by-step explanation:

Is the correct answer

The perimeter of the polygon after dilation = 27 unit

What is dilation factor?

The scale factor in a mathematical object's dilatation defines how much the picture will grow or shrink in relation to the original thing.

The perimeter of polygon = 18 unit,

Since, the scaling factor is 3/2,

So when the polygon is dilated, the perimeter of the polygon will also multiply with 3/2,

Perimeter of polygon = 18×3/2

                                    = 27 unit

The perimeter of the polygon after dilation = 27 unit

To know more about Dilation factor on:

https://brainly.com/question/13176891

#SPJ5



21x+6y=42
7x+2y=14

Answers

For this case we have the following system of equations:

We multiply the second equation by -3:

Thus, we observe that the second equation is equivalent to the first, if we add both we get:

The equality is fulfilled. The lines are on top of each other.

Answer:

Infinite solutions

infinite solutions

hahqjwjwowowowowk

a rational number is defined as any number that can be written as a fraction with a non zero denomination
true or false?!

Answers

Answer:

True

Step-by-step explanation:

opposite is irrational number

WILL GIVE BRAINIEST!!!!

Answers

Answer:

A

Step-by-step explanation:

I graphed it

Answer:

The answer is 6y - 7x = 48

If you graph it you will see it is 6y - 7x = 48

Hope this helps!

What is problem number 2??

Answers

Answer:

QR

Step-by-step explanation:

The question is just trying to see if you can read the order of the lines.

PQ is the first 2 letters of PQR so XY has to be the first 2 letters of XYZ

Answer

YZ is the second and third letters of xyz.

QR are the 2nd and 3rd letters of PQR

HELP ME PLEASEEEEEEE

Answers

Answer:

Step-by-step explanation:

cos o = adjacent side /hypothenuse = OQ / PO

If 9 garden hoses cost $196.83 and the price of each hose is the same how much does each hose cost?

Answers

Answer:21.87

Step-by-step explanation:

196.83 divided by 9

Answer:

They each cost $21.87

Step-by-step explanation:

If each hose costs the same you can just divide the total (196.83) by the number of hoses (9) to get 21.87.

In ΔJKL, k = 430 cm, l = 590 cm and ∠J=117°. Find the length of j, to the nearest centimeter.

Answers

Answer:

874

Step-by-step explanation:

The length of j from the given triangle JKL is 550 cm.

What is cosine rule?

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Given that, in ΔJKL, k = 430 cm, l = 590 cm and ∠J=117°.

Using cosine rule

j²=k²+l²-2kl.cosJ

j²=430²+590²-2×430×590·cos117°

j²=184900+348100-507400×0.4539

j²=533000-230308.86

j²=302691.14

j=√302691.14

j=550 cm

Therefore, the length of j from the given triangle JKL is 550 cm.

Learn more about the cosine rule here:

https://brainly.com/question/28716982.

#SPJ2

Fill in the blank:
The function is _________ over the interval [3,1].
A. increasing
B. decreasing
C. constant ​

Answers

Answer:

increasing

Step-by-step explanation:

its increasing because it goes back up at a fast rate

Differentiation

Please help me! ​

Answers

Answer:

[tex] \frac{dy}{dx} = - 1 \frac{5}{9} [/tex]

Step-by-step explanation:

Please see the attached picture for the full solution.

☆ [tex]\frac{1}{x} = x^{ - 1} [/tex]

What is the exact area of a circle having diameter 3 in.?

Answers

Answer:

2.25π square inches

Step-by-step explanation:

Area = π[tex]r^{2}[/tex]

Diameter = 2r

So in this case, radius = 1.5 inches

Plugging that into the area formula produces the answer

Show all work:

Write the problem
Inverse operation
Solve
Check
Solve

m - 7 = -10

Answers

Answer:

m=-3

Step-by-step explanation:

m - 7 = -10

Ok so,

in order to get m by itself you just need to do the opposite of -7 which is +7 so you have to add 7 to both sides. On the left, both of the 7's cancel out and on the right -10 + 7 = -3. So, now it should look like this.

m=-3

To check you just need to plug in -3 into the question

Hope this helps! Have a good day

Which of the following correctly graphs the system of equations?

{y=x−3
y=−2x+3

Answers

The third one

This graph is the only one that shows the correct slops with the correct y intercepts (-3 and 3)

explain why 1/12 + 1/2= 7/12

Answers

Answer:

1/12 + 1/2 = 1/12 + 6/12 - 1+6/12 = 7/12

Step-by-step explanation:

hope this makes sense

Step-by-step explanation:

1/2 of 12/12 is 6/12.

So, this means: 1/12 + 1/2 = 7/12

                                      is

                          1/12 + 6/12 = 7/12

what is the best lofi chill song for study

Answers

Answer:

"Chilling in a Quiet Park Outside the City" by Cat Paw.

Step-by-step explanation:

The expression 2(l + w) is used to calculate the perimeter of a rectangle, where I is length and w is width. If the length is 2/5 unit and the width is 1/5 a unit, what is the perimeter of the rectangle in units?

3/5
1
1 1/5
2 3/5​

Answers

Answer:

I think it is 1

Step-by-step explanation:

I am sorry if it is not correct

Four times a number plus three times the number is the same as 14 more than
5 times the number. Find the number.

Answers

Answer: Number equals 7

Step-by-step explanation:

4x+3x=5x+14

7x=5x+14

-5x  -5x

2x=14

x=7

are 1/2 and 8/16 equivalent rates?

Answers

Yes, they are. 1 x 8 = 8 and 2 x 8 = 16.

Yes.

8/16 is 1/2 of 16/16

what is the measure of Angle C

Answers

Answer:

59

Step-by-step explanation:

(2x-1)+(3x+1)+x=180

6x=180

x=30

((2×30)-1)= 59

The angle for c is 59

Which situation CANNOT be represented by this equation?
- 1x + 15 = 9

Answers

Answer: Choice B

Explanation:

The term "rising" will indicate that we should use positive 1/3 instead of negative 1/3.

Choices A and C use "decreasing" which is why they involve -1/3. This is why we can rule out these two choices.

A house is losing value at a rate of 5.4% per year. In 2009, the house was worth $331,000. Find the value of the house in 2021.

Answers

Answer:

$169803

Step-by-step explanation:

Given data

rate of decrease = 5.4%

time = 2009-2021= 12years

P=  $331,000

Let us apply the compound interest formula

A=P(1-r)^t----------------note the minus sign because this is a decrease

A= 331000(1-0.054)^12

A= 331000(0.946)^12

A= 331000*0.513

A=$169803

Hence the value in 2021 is $169803

The value of k for which x²-4kxy+4y²=0 represent a pair of straight is?​

Please help me!!

Answers

Answer:

k=1    k= -1

Step-by-step explanation:

hello :

here is an solution

2 Which expression is equivalent to -6(- + 2x)? )? 0 -4- 12x O-4+ 2x 04-12x 0 4+ 12x​

Answers

Answer:

4+12x

Step-by-step explanation:

basically just adding and subtracting

The expression which is equivalent to -6((-2/3) + 2x) is; 4 - 12x.

Equivalent expressions

The given expression is;

-6((-2/3) + 2x)

Hence, upon expansion and elimination of the parenthesis;.

= -6(-2/3) -6(+2x)

Hence, the equivalent expression is; 4 - 12x.

Read more on equivalent expressions;

https://brainly.com/question/11258067

sqrt(y^6) = -y^3
y=?

Answers

Answer:

they answer is y^6=−y^3

Step-by-step explanation:

Answer:

y^6=−y^3

Step-by-step explanation:

Which of these cannot represent the lengths of the sides of a right triangle?


A.)3 ft, 4 ft, 5 ft
B.)6 in., 8 in., 10 in.
C.)16 cm, 63 cm, 65 cm
D.)8 m, 9 m, 10 m

Answers

D because it is talking about meters hope this helps
D can’t represent the sides of a right triangle

can you try to solve this plz

Answers

Answer:

50 dgrees

Step-by-step explanation:

staruight line is 180 so 180 minus 130 is 50

Other Questions
What is the perimeter of this triangle?PLEASE HELP How do you think that the pharaoh was able to maintain his absolute power? Response to stimulus" refers to processing events in the brain. the reaction of an organism to a signal. the five senses (sight, hearing, touch, smell and taste). the behavior of an organism in a particular situation. (This is easy peasy I'm just seeing if you guys know it ) Please help!The box plots below show attendance at a local movie theater and high school basketball games.Which of the following best describes how to measure the spread of the data? Which student response to the excerpt is an example of a text to text connection 10. *10. If Talia's old bedroom measured 10feet by 10 feet, how much larger orsmaller will her new bedroom be? 1) If the amount of algae in the ocean decreases by 50%, the population of its consumers, goby fish, willA decrease to its carrying capacity.B go extinct.C increase by 50%.D increase to its carrying capacity. In which of the following countries would a federal style of government be most effective?A) a country with on single ethnicityB) a country with a fragmented shapeC) a country with a compact shapeD) a country with several political enclavesE) a country with stronger sub national governments What are laws the LGBTQ+ are losing, why shouldn't they lose them? Convert:a) 3.65kg to g b) 568cm to mc) 82L to cLd) 0.825 m to dam e) 67.89 hg to dg f) 69g69mgtomgOnly need the answer and pls give fast pls 7-1 Mathematical Literacy and Vocabulary Dilations The column on the left shows the steps used to graph a dilation. Use the column on the left to answer each question in the column on the right. Problem Graphing a Dilation.What are the vertices of the image of ABC for a dilation centered at the origin with a scale factor of n = 2? Graph the image of ABC.Read the problem. What do you need to find to solve the problem? write 8,000,000 in scientific notation ? Will give brainliest if correct! Determine the slope of the following Whats any part of a computer you can physically touch HURRY! PLZ!!!!!!!!!!!!!!!!!!!!!!!!!!!Which nation settled in the Northeastern part of the United States?a.the Englishc.the Frenchb.the Dutchd.all of the above why igneous rock is said to be mother rock What is a photosystem? a structure which contains stromab structure where the dark reaction occursc structure through which H+ flows to form ATPd cluster of the light-absorbing molecules called pigmentThanks! QUESTION 3Which veins deliver blood to the right atrium?O A. superior vena cavaO B. inferior vena cavaC.coronary sinusOD. both A&BE. All of the above what diseases listed are caused by farming chemicals At Silver Gym, membership is $25 per month, and personal training sessions are $30 each. At Fit Factor,membership is $45 per month, and personal training sessions are $20 each. In one month, how manypersonal training sessions would Sarah have to buy to make the total cost at the two gyms equal?