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

what is (-4)(-1)(-3)

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Answer:

-12

Step-by-step explanation:

multiplication

Answer:

-12

Step-by-step explanation:

-4 x -1 x -3

4 x -3

=-12

If 16x + 4 is 10 more than 14, what is the value of 8x

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I believe it’s 6.4?? Maybe?

Find the value of x.
B
х
8
A
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D
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x = [?]
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Answers

Answer:

X=6

Step-by-step explanation:

If B and C equal 8 and is larger than x than x is a smaller number. D and C is 4 but its smaller than x so x has to be bigger. Your left with 3 choices 5, 6, and 7. Measure it and find out how big x is and its between 6 or 7. If any means they do decimals it can also be 6.5 so x=6 or x=7 or x=6.5

Solve for m and q:
m+ 2 = q - 4
5m - 33 = q+1

Answers

Answer: m = 10 and q = 16

hope this helps!!

WILL MARK YOU BRAINLIEST

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Answer:

(8; 4), (-6; -4) and (2; 8)

Find the geometric mean between 4 and 20.

Answers

Answer:

4[tex]\sqrt{5}[/tex]  

Step-by-step explanation:

Geometric mean is when you multiply the two numbers 4 and 20 and then take the square root of the product.

So 4 x 20 = 80, and the [tex]\sqrt{80}[/tex] = 4[tex]\sqrt{5}[/tex]

However-- that's if you meant finding the geometric mean of 4 and 20 when you said "between"

Answer

4√5

Explanation

4 x 20 = 80
√80 = 4√5




FIND THE ORIGINAL PRICE SAW.
4. Nick's parents paid $435 for an x-box gaming system. This was after the 20%
Game Stop Loyal Customer member discount How much is the game console to
customers who are not Loyal Customer members?

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Answer: $87

Step-by-step explanation:

Which one of these is x please help

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Answer:

1/2

Step-by-step explanation:

-1.8(3-1.4h) simplify the expression

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Answer:

-5.4 + 2.52h

Step-by-step explanation:

3/10 divided by 6/11

Answers

Answer:

Hi, I love these types of questions. So, ima teach you how to find the answer. If your only looking for an answer, skip to the bottom. So, what your trying to find is the solution to 3/10 divided by 6/11. So, remember, copy, dot, flip.

Copy- Copy the equation- 3/10 6/11

Dot- Change the division sign to multiplication- 3/10 X 6/11

Flip- so, this is where it gets a bit tricky. You wanna flip the numerator and denominator on the second fraction- 3/10 X 11/6

now multiply across-

33/60

simplify

11/20

Your answer is 11/20

!!!PLEASE HELP WILL GIVE BRAINLIEST EASY!!!
17 squared is between which of the following pairs
a. 4 and 5
b.16 and 18
c.288 and 290
d. i dont know
and d is actually a answer i dont know why

Answers

NUMBER: 17        SQUARE: 289        SQUARE ROOT: 4.123

Hope this helps a little.

Answer:

a. 4 and 5

Step-by-step explanation:

We are given 17 squared, and are asked on whether which of it is between the following pairs.

Squaring a number always gives it a smaller number since you are trying to find a number times itself to make the number in the square root.

Therefore by this knowledge, a. would be the most reasonable answer, since 17 is quite a small number, squaring it will equal something smaller.

Amanda saves $15 per week for her summer vacation. Write an equation that she can use to.Find S, her savings after W weeks

Answers

Answer:

S= 15W

Step-by-step explanation:

Given data

We are told that Amanda saves $15 per week for her summer vacation

Let her total savings be S

and the number of weeks be W

Hence the expression for her savings is

S= 15W

3 x 4 1/3 = ??


-- please help me

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I think this should be the answer!!

V(x) is a function.


True or False??

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Answer:

B

Step-by-step explanation:

please someone help fast ​

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thats the answer

p+x= 12x

A third line goes through the same point. How would that show up in a table representing the relationship for the third line?

Answers

Answer:

Most likely the table will contain one pair of values that correspond to the coordinate where the previous lines intersect.

Step-by-step explanation:

It may be possible that the table before the third line contains values on either side of the point of intersection, but the slope will produce a line that connects those values and passes through the previous intersection.

Solve for x.
-5(x - 4) = -30
Enter your answer in the box.


X = ________

Answers

Answer:

x=10

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

crown if this helps

can someone. help me solve this pls .

Answers

Answer:

1.108

[tex]729 = {n}^{6} \\ \sqrt[6]{729} = \sqrt[6]{ {n}^{6} } \\ n = 1.108[/tex]

What is the upper quartile, Q3, of the following data set?
42, 38, 29, 52, 55, 60, 26, 59, 32, 58, 46, 24, 33, 51, 25

Answers

UQ’s place = 3/4(n+1) so its 3/4 of 16 which is 12 so its the 12th place so its 24

Translate the given phrase into an algebraic expression.
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g

Answers

Answer:

g - 3

Step-by-step explanation:

g- 3

Hope that helps!

5. Which expressions are equivalent?
I. 6(a + 2)
II. 6a + 12
III. 3(2a + 4)
A I and II only
II and III only
Bland Ill only
0 I, II, and III

Answers

II and III only are equal to each other
ANSWER: II and III only

PLEASE PLEASE PLEASE HELP I WILL GIVE BRAINLIEST

An iPad Mini and an iPad Pro have an approximate scale factor of 1.5, where the iPad Pro is 1.5 times the size of the iPad Mini. Which statement is true?

A) The perimeter of the screen of the iPad Mini is 1.5 times the size of the iPad Pro.
B) The perimeter of the screen of the iPad Pro is 1.5 times the size of the iPad Mini.
C) The area of the screen of the iPad Mini is 1.5 times the size of the iPad Pro.
D) The area of the screen of the iPad Pro is 1.5 times the size of the iPad Mini.

Answers

It’s D, because when using the word “area” it means you have to multiply. The term “times” in this case ALSO means to multiply. The iPadPro is 1.5 TIMES the size of the iPad mini. Hopefully this is correct good luck

Please helppppppppppppppp

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Answer:

It's the 2nd one

Step-by-step explanation

What set of ratio below is not equivalent to 3:4

Answers

Answer:

6

8

,

9

12

,

12

16

Step-by-step explanation:

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Answers

Answer:

7\8

Step-by-step explanation:

7/8 it is when the line touches the x axis and the y axis

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Answer:

I don't see the photo. Can't help OOF

Step-by-step explanation:

Need Help ASAP

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What is the measure of angle A??

Answers

The sum of the interior angles of a triangle is 180 degrees

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6x=186
x=31

A=2(31)-9
A=62-9
A=53

Does anyone know the answer you have to pick the correct answer because there's two options you have to pick the correct equation

Answers

Answer:

y = -5x + 50

Step-by-step explanation:

if it the x value has a negative symbol then the slope goes down (Left to right) if the x value doesn't then the slope goes up (Left to Right)

can someone please help me

The measure of the angle formed at the center of anoxygen atom in a water molecule is about 105. The angles formed at each hydrogen atom are congruent. What is the size of the angle at each hydrogen atom?​

Answers

Answer:
I believe that the remaining angles are both 37.5 degrees.

Explanation: The sum of the interior angles of a triangle equal 180 degrees. 180-105= 75. The two remaining angles are congruent. So 75 divided by 2 gives the measurement of each angle. Please tell me if I am correct.
All 3 angles = 180...if one angles measures 105, the other 2 have to add up to 75. Since they told us the other to angles are the same (“congruent”), divide 75 into 2 equal parts...75/2=37.5.
So the measure of the other 2 angles are both 37.5

The six sides of a number cube are labled 1,2,3,4,5,6, . You flip a coin and roll the number cube what is the probability that you land on tails and get a number less than 3.

Answers

Answer:

1/6 or 16.67%

Step-by-step explanation:

The probablility for the coin is 50% and the probablility for the cube is 2/6 or 1/3 aka 33.3%. You need to multiply these together to figure out the percentage so 1/2 time 1/3 is 1/6.

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