Use vertex (h, k) and a table of values g(x) = 2 * (x - 2) ^ 2 + 5

Use Vertex (h, K) And A Table Of Values G(x) = 2 * (x - 2) ^ 2 + 5

Answers

Answer 1

Step-by-step explanation:

Since the equation is in vertex form: a(x - h)² + k, we immediately know that the vertex is at (2, 5).

x   |   y

0   |   13

1    |    7

2   |    5

3   |    7

4   |    13

Use Vertex (h, K) And A Table Of Values G(x) = 2 * (x - 2) ^ 2 + 5
Answer 2

Answer:

Step-by-step explanation:

Comparing the given g(x) = 2(x - 2) ^ 2 + 5 to h(x) = a(x - h)^2 + k, we see that h = 2, k = 5, a = 2.  Thus, the vertex is at (2,5).  Several sample points on this graph are:

x   y = g(x)                   (x, y)

2   5                             (2, 5)

0   2(0-2)^2)+ 5           (0, 13)

 1   2(1-2)^2 + 5             (1, 7)  

 3  2(3-2)^2 + 5            (3, 7)

and so on.  Plot these are several more points and then draw a smooth curve through them.  The graph will be a parabola with vertex (2, 5) that opens up.


Related Questions

Urgent please help..

Answers

Answer:

147cm2

Step-by-step explanation:

area of a circle=πr2

=3*7*7

=147cm2

help guys I would appreciate ​

Answers

Answer:

4 + 8

12 >= 12

TRUE

Becuase 12 equals 12

Step-by-step explanation:

After taxes, Darius made $18,518.50 for winning the national fortnite competition. If taxes were 50% how much did Darius win

Answers

$9,259.25 would be the answer

Jane and 3 friends decided to split the cost of a pizza evenly. The total cost was $25.48. How much does each friend have to pay?​

Answers

Answer:

$6.37

Step-by-step explanation:

Jane and 3 friends = Jane + another 3 people

= 4 people in total

Total Cost of pizza = $25.48

If 4 people split $25.48 evenly,

Amount each friend has to pay = Total Cost of pizza/Total number of people

= $25.48/4

= $6.37 per friend

Each friend has to pay $6.37 each if $25.48 is splitted evenly amongst them

Solve for x in the diagram
A)38
B)16
C)20
D)42

Answers

Answer:

D) 42

Step-by-step explanation:

48 x 2= 96

180 - 96 = 84

84/2 = 42

Are You Ready For More?

A loaf of bread is cut into slices.

1. If each slice is 1/2 of a loaf, how many slices are there?

:

2. If each slice is 1/5 of a loaf, how many slices are there?

:

3. What happens to the number of slices as each slice gets smaller?

:

Answers

1. There would be 2 slices as the denominator is 2.

2. There would be 5 slices as the denominator is 5.

3. As each slice gets smaller, the denominator gets bigger, because the bigger the denominator is, the more pieces it needs to make a whole.

Hope this helps :)

There are 2 pieces if each slice is 1/2 of a loaf, and 5 pieces if each slice is 1/5 of a loaf, and the total number of pieces get increases if each slice gets smaller.

What are fractions on number lines?

When fractions are represented on a number line, we can plot them on a number line just like we can with whole numbers and integers. Parts of a whole are represented by fractions. In order to depict fractions on a number line, equal pieces of a whole are divided.

Given A loaf of bread is cut into slices.

1. If each slice is 1/2 of a loaf, how many slices are there,

here slices are  1/2 of the loaf so the loaf is divided into two equal parts,

1/2 + 1/2 = 1

2. If each slice is 1/5 of a loaf, how many slices are there,

here loaf has 5 equal parts,

1/5 + 1/5 + 1/5 +1/5 + 1/5 = 1 loaf

3. What happens to the number of slices as each slice gets smaller?

the value of the denominator in fraction goes on increasing and since the value is increasing the number of slices also gets increases.

Hence there are 2 pieces for 1/2 of the loaf,

5 pieces for 1/5 of the loaf,

and the number of slices increases when each slice gets smaller.

Learn more about fractions on number lines;

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Which graph shows the relationship between the number of tigers and the total number of square feet of space?

Answers

Answer:

Graph A shows the relationship between the number of tigers and the total number of square feet of space as expressed in the equation.

Step-by-step explanation:

Answer: Graph A shows the relationship between the number of tigers and the total number of square feet of space and here is my proof.

Step-by-step explanation: square feet is supposed to be in the thousands and graph A is one of the only ones that show that. Also the number of tigers are ofc single numbers so that makes the numbers below 1,2,3,4, and 5 and the numbers for square feet are 1,000, 2,000, 3,000, 4,000, and 5,000. For more proof the pictures below explain the answer.

in a bag of marbles 4 are
blue. 5 are white, and 11 are
red. What is the probability of
NOT drawing a red?

Answers

Answer:

3/4 or a 75%

Step-by-step explanation:

A school hall costs £200 to hire.
Parents get a 10% discount.
30 parents share the cost equally.
How much does each parent pay

Answers

Answer:

£6

Step-by-step explanation:

The computation of the each parent pay is shown below;

But before that the cost of hall after considering the discount is

= £200 - 10% of £200

= £200 - £20

= £180

Now there are 30 parents

So each parent pay is

= £180 ÷ 30 parents

= £6

Adam and Katy both receive a bonus.
Adam receives 30% of £80
Katy receives £28
Work out the difference between the bonus Adam gets and the bonus Katy gets.​

Answers

Step-by-step explanation:

Adam's bonus

30/100= 0.3

0.3 *80=24

therefore Adam's bonus is £24

since Katy bonus is £28

The difference between the bonus Adam gets and the bonus Katy gets

£28 -£24 =£4


What is the reference angle or quadrantal angle of sin330°?

Answers

Answer:

-1/2

Step-by-step explanation:

Exact form:-1/2

Decimal form: -0.5

Hope that helps.

If it is correct please click on the crown (only if my answer is correct)

Thank you

19NBoli

Which situation is modeled by the graph?
Height
Time

Answers

Answer:23

Step-by-step explanation:

–1+–10+–10–5z
answer
now
please-

Answers

Answer:

−5z−21

Step-by-step explanation:

If factored it is :-5z-21

Answer:

-21-5z

Step-by-step explanation:

-1+(-10)+(-10)-5z

-1-10-10-5z

-1-20-5z

-21-5z

k+ 6 ≥ 19, if k = 11

Answers

Answer:

Then it would be the other way around 19 ≥ k + 6

Wait for more responses if needed.

The given Inequality is correct when 19 ≥ k + 6.

What is inequality?

Inequality compares "two values, showing if one is less than, greater than, or simply not equal to another one".

Given k + 6 ≥ 19 if k = 11

11 + 6 ≥ 19  substitute k = 11

17 ≥ 19 here Inequality is False.

Hence, 19 ≥ k + 6.

To learn more about Inequality here

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A group of workers can plant 2/5 acres in days.3/4 What is the unit rate in acres per day?

Answers

Answer:

8/15

Step-by-step explanation:

Unit rate is 8 / 15 acres per day.

What is work?

"Work is defined as when force is applied on an object and it gets move in particular direction."

According to the question,

Group of workers plant  2/ 5 acres  in 3 /4 days

3 / 4 days = 2/ 5 acres

1 day =  [tex]\frac{2}{5}[/tex] × [tex]\frac{4}{3}[/tex]

⇒ 1 day = 8 / 15 acres

Hence, Unit rate is 8 / 15 acres per day.

Learn more about work  here

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please help and explain ​

Answers

Answer:

Step-by-step explanation:

Fraction of surveyed women who voted for football = 25/72

Percentage = [tex]\frac{25}{72}*100 = \frac{25}{18}*25[/tex]

                  [tex]=\frac{625}{18} = 34.72[/tex]

                  = 35%


Which scenario is best represented by a linear function?
A
The area of a square, A, where the length of each side of the square is represented by
S (A= s?)
The perimeter of a square, P, where the length of each side of the square is
B represented by s
(P = 4s)
The surface area of a cube, A, where the length of each side of the cube is
C represented by s
(A = 6s )
The volume of a cube, V, where the length of each side of the cube is represented by
s(V = $)​

Answers

Answer:

P=6s

Step-by-step explanation:

to understand thisyou need to know about:linear functiontips and formulas:a linear function is function with two variables one dependent another one is independentlet's solve:

since we can see what linear function is

the second condition is the best fit

The perimeter of a square, P, where the length of each side of the square is B represented by s(P = 4s)

therefore

our answer is b

I don't know why I keep getting 93 ft but it says it's wrong...
Find the perimeter of the figure.

Answers

Answer:

Your answer is 84.

9+9+9+9+9+9 (9x6) +30. 9x6 is 54 so then, you'd have to do 54+30 to get 84.

~Sophia

Answer:

96 ft

Step-by-step explanation:

9 + 9 + 9 + 9 + 12 + 9 + 9 + 30 = 96 ft

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proofs.

Given: Points R, S, T, Q on circle O



Prove: mRS + mST + mTQ = mRQ

Answers

Answer:

Match the number of statement with the same number of reasons.

Step-by-step explanation:

Here are the statements

1.

Points R, S, T, Q on circle O

2.

measure of RS+ST=RT

measure of RT+TQ=RQ

3.RS+ST+TQ=RQ

Here are the reasons

1.Given

2. Arc Addition

3. Subsitution

Write a summary of how to get the area of a parallelogram.

Answers

Answer:

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

I hope it's helpful!

Express the product of (2x+5/2) and (x-1) as a trinomial in simplest form

Answers

Answer:

[tex]\displaystyle 2x^2 + \frac{x}{2} - \frac{5}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsExpand by FOIL (First Outside Inside Last)

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle (2x + \frac{5}{2})(x - 1)[/tex]

Step 2: Expand

[Trinomial] FOIL:                                                                                             [tex]\displaystyle 2x^2 - 2x + \frac{5}{2}x - \frac{5}{2}[/tex][Trinomial] Combine like terms:                                                                     [tex]\displaystyle 2x^2 + \frac{x}{2} - \frac{5}{2}[/tex]

Renee bought 6 tickets to a football game. She paid a total of $216. Write an equation to represent the situation

Answers

Answer:

6 × 36 = 216

Step-by-step explanation:

one ticket price: 216 ÷ 6 = $36

How would you solve for this problem. The line is parallel to the line y=1/2x +5 and passes through (2,-5).

Answers

Answer:

is 5.8

Step-by-step explanation:

i do it in a calculador so is 5.5

Answer: y=1/2x+5 because it passes through 2,-5 and is parallel to y=1/2x+5  


Which is true about the position of A on the number line?

A. It is less than -1
B. It is greater than 0
C. It is less than -8/3
D. It is greater than 3/4 ​

Answers

Answer:
I think the answer is D

IM RELLY DONE I DONT UNDERSTAND THIS
And answer is not (-5.-2) e.t.c
PLS HELP​

Answers

Answer: -5, 1: -5, 2: -8, 1

Step-by-step explanation: Just flip it on the other side

Answer:

(2,5)

(1,5)

(1,8)

Step-by-step explanation:

The reflection line y = x does the following to the coordinates:

(x , y) --> (y , x)

The coordinates swap places.

(5,2)  --> (2,5)

(5,1)   --> (1,5)

(8,1)   --> (1,8)

I BET NO ONE KNOWS THIS Place a checkmark next to each answer choice that describes a situation in which economic indicators might be helpful. ALL THAT APPLY
A. A business is trying to design the packaging for a new product.
B. A company is considering expanding and building more factories.
C. A college student is writing a paper on current economic trends.
D. A contractor is trying to decide which of two designers to hire to decorate his
model homes.
E. A recent college graduate is trying to decide what type of business to start.
F. The U.S. government is trying to determine how involved they should be in the
economy in 2016.

Answers

Answer:

E, F, B, and C

Step-by-step explanation:

Im just learning about these kind of things and this is a challenging question not going to lie.

I chose B because expanding and building more factories is apart of economics. You need more land to expand your business, but this will also affect the economy.

C seems like a good answer also because writing about economic trends is an important thing in economics. This also helps others learn out the economy and what not to do and what to do to help make our environment a better place.

I chose E because starting a business is apart of economics. A lot of business are apart of economic systems and help money come into our economy.

F is a good answer for me because the U.S government has been apart of America's economic system for a long time just like they are involved with everything else. The government is a big help and a big part of our economy, especially for america.

write down the rational number
whose numerator = 8 , denominator = 9​

Answers

Answer:

8/9

Step-by-step explanation:

8 numerator

______________

9 denominator

Can someone help me find the gradient for this graph ​

Answers

The line passes through points (0,0) and (7,4)

Gradient = (y2-y1)/(x2-x1) = (4-0)/(7-0) = 4/7

100 points ! What is the area of the following composite figure? All angles are right angles.

24 m^ 2
27 m ^2
29 m^ 2
22 m^ 2

Answers

Answer:

24m²

Step-by-step explanation:

..,.................

Area = 5*4+2*1+2*1

Area = 20+2+2

Area = 24m²

Answer:

24 m^2

Step-by-step explanation:

We need to study the structure well

We can find the magnitude of the big rectangle. We will need to find the total length and total breadth of the big rectangle

Then we remove the area of the four squared cut out from the big rectangle.

Total length of the rectangle is 5+1+1=7m

Then the length of the breath of the rectangle is 2+1+1=4m

So area of rectangle is given as length × breadth

Area= l×b

Area=7×4=28m²

Area of the big rectangle is 28m²

Then the squared is made of dimension 1m by 1m

Area of a square is s²

Then, a=1m

Area of the square= 1²=1m²

There are four squared side

Then, the total area of the four squared is 4×1=4m²

Then the required area is

Area=Total area - area of four squared side

Area=28m²-4m²

Area =24m²

Area of the figure is 24m²

The correct option is A.

Solve for X. assume that lines Which appear tangent are tangent.

Answers

Answer:

x = 4, x = 8

Step-by-step explanation:

(9)

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

x(x + 6) = 5(5 + 3)

x² + 6x = 5 × 8 = 40 ( subtract 40 from both sides )

x² + 6x - 40 = 0 ← in standard form

(x + 10)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 10 = 0 ⇒ x = - 10

x - 4 = 0 ⇒ x = 4

x > 0 then x = 4

(11)

Given a secant and a tangent from an external point to the circle, then

The square of the tangent is equal to the product of the external part and the whole of the secant, that is

x(x + 10) = 12²

x² + 10x = 144 ( subtract 144 from both sides )

x² + 10x - 144 = 0 ← in standard form

(x + 18)(x - 8) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 18 = 0 ⇒ x = - 18

x - 8 = 0 ⇒ x = 8

x > 0 then x = 8

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