Complete the square to re-write the quadratic function in vertex form: y = x ^ 2 - 2x - 8

Answers

Answer 1

Answer:

[tex]y=(x-1)^2-9[/tex]

Step-by-step explanation:

[tex]y=x^2-2x-8[/tex]

To complete the square:

[tex]\frac{b}{2}=(-1)^2=1[/tex]

[tex]y=x^2-2x-8[/tex]

[tex]+9[/tex]                 [tex]+9[/tex]

[tex]y+9=x^2-2x+1[/tex]

[tex](x-1)^2=y+9[/tex]

          [tex]-9[/tex]         [tex]-9[/tex]

[tex]y=(x-1)^2-9[/tex]


Related Questions

Gary’s soccer team plays 12 games in a season. Each game is 45 minutes long. His older brother, Hector, plays the same number of games, but each of his games lasts twice as long. How many minutes does Hector’s team play each season? Write and solve equations.

Answers

Answer:

1080 minutes

Step-by-step explanation:

12x45: garys team

45x2=90 : hector's team

12x90=1080

The answer is 1080 minutes. All you have to do is figure out the total amount of minutes of Gary’s soccer games and then multiply by two

what is the elapsed time? start time:9:14 p.m. end time: 9:42
28 minutes
32 minutes
38minutes
56 minutes

Answers

Answer:

28 minutes

Step-by-step explanation:

A coin is flipped 8 times. Find the probability of the event: exactly 3 heads​

Answers

Answer:

The probability of the coin landing on heads 3 out of 8 times is 0.22, but the closest thing to that is 0.219.

Answer:

Step-by-step explanation:

The answer is exactly 0.219

You have 8 objects and you want to choose 3 of them. 8 Choose 3 looks like

8 * 7 * 6 / 3!

3! = 6

So the answer is 8*7 = 56

There are 2^8 = 256 ways you can throw either heads or tails.

The number of successes = 56/256 = 0.219 The nine is rounded.

Percent Profit or Loss
Calculate the percentage profit if an antique clock is bought at a yard sale for $20 and sold for $100. Type the number only

Answers

80% Profit

$20 is 20% of $100

If each edge of this rectangular prism is doubled, how will it affect the volume of the prism?
A. The new volume will be 2 times the original volume.
B. The new volume will be 4 times the original volume.
C. The new volume will be 6 times the original volume.
D. The new volume will be 8 times the original volume.

PLEASE HELP ASAP ILL GIEV BRAINLIEST

Answers

Answer:

D. 8 times

Step-by-step explanation:

lmk if its right bc im not too confident </33

D. The new volume will be 8 times the original volume.

The measurements of the rectangular prism are 5m ( length ), 3m ( width ), and 2m ( height ). To find the volume of the rectangular prism, you have to multiply the length, width, and height altogether. That gives you ( 5*3*2= ) 30 cubic meters. However, if the measurements were doubled for each edge, the new measurements would be ( 5*2= ) 10m ( new length ), ( 3*2= ) 6m ( new width ), and ( 2*2= ) 4m ( new height ). Multiplying those new measurements together would get you the volume of ( 10*6*4= ) 240 cubic meters. Now, in order to find out how it affects the volume of the prism, you divide 240 cubic meters by 30 cubic meters and get 8. Therefore, the answer will be D. The new volume will be 8 times the original volume.  

an energy drink company claims that it’s produced inscreases students memory levels. to support its claims, the company issues advertisements claiming that 8 out of 10 people (chosen randomly from across the country) who tried their product reported improved memory. the missing component in this study is a

Answers

Boba all the way, it is delicious and I can't live without it

Jenny’s mom gave her one dollar on the day she was born. She plans to triple the amount she gives her every day. How much will she receive on her 10th day?

Answers

Answer:

19,683

Step-by-step explanation:

Consider the ready-made tent with flooring included that is shown in de diagram below.

What is the least amount of fabric needed to make the four-foot high tent?

Answers

Answer:

136 ft²

Step-by-step explanation:

Total surface area is the amount of fabric:

S = 2(1/2*6*4) + 2(7*5) + (7*6) = 136 ft²

Help please ! 11x+4<15 or 12x+7>-25

Answers

Answer:

A

Step-by-step explanation:

From the first inequality,we got:

11x+4<15

11x<11

x<1

From the second inequality,we got:

12x>-18

x>-3/2

Combine it together we got

-3/2<x<1

Answer:

All values of x are solutions

Step-by-step explanation:

I don't understand how to solve this

Answers

Answer:

7 and 5 are congruent

Step-by-step explanation:

which pair of angles is congruent meaning which pair of angles is the same when looking at the angles given angles 5 and 7 are the same

Please help ASAP!!
8(5x-3)-11(3x+7)=102
Please solve!

Answers

Answer:

x = 29

Step-by-step explanation:

8(5x-3)-11(3x+7)=102

40x - 24 - 33x - 77 = 102

7x - 101 = 102

7x = 203

x = 29

Answer:

X=29

Step-by-step explanation:

In a random sample of 800 seniors at Mill Creek High School, 100 students are asked if they prefer graduation at the High School or at the Gwinnett Infinite Energy Arena, Eighty-four students preferred to have graduation in the Mill Creek stadium. How many seniors prefer to have the Graduation Ceremony at Mill Creek?
504
608
672
706

Answers

Answer:

Step-by-step explanation:

84%

800*.84 = 672 students prefer the stadium

In ⊙Q, mJK=180° and mLM=116°. What is m∠1?

Answers

Answer:

32

Step-by-step explanation:

180+116= 296

360-296= 64

64/2= 32

Please help, I need this answer ASAP

Answers

Answer: x= (2/3,0) y=(0,2)

X=(4,0) y=(0,8)

X=(-3,0) y=(0,-3)

Step-by-step explanation:

Please help!!
You rent an apartment that costs $1800 per month during the first year, but the rent
is set to go up 11.5% per year.
What would be the rent of the apartment during the
10th
year of living in the apartment? Round to the nearest tenth (if necessary).

Answers

Answer:

Rent in 10th year = $5345.90

Step-by-step explanation:

Rent of apartment during first year = $1800 per month

But growth in rent with 11.5% per year will be represented by the exponential function,

Rent in 't'th year = [tex]\text{Initial rent}(1+\frac{\text{Growth rate}}{100})^{\text{time}}[/tex]

                          = [tex]1800(1+\frac{11.5}{100})^t[/tex]

                          = [tex]1800(1.115)^t[/tex]

Therefore, rent during 10th year will be,

Rent in 10th year = [tex]1800(1.115)^{10}[/tex]

                            = $5345.90

Answer:

4794

Step-by-step explanation:

please help me i dont understand it

Answers

Answer:

B

Step-by-step explanation:

Its B I think Here go your answer.

5. At Ripona Middle School, there are 645 students,
in the student body. There is 258 girls. What
Percent of the students are boys?

Answers

Answer:

60% of students are boys

Step-by-step explanation:

Okay first subtract 645-258 to get the amount of boys at the school

645-258=387

Now the ratio of boys to girls is

387:258

387/645×100 to get percentage of boys

put that in your calculator and you will get 60%

so there is 60% of middle school boys and

258/645×100 to get the percentage of girls

put it in the calculator and you will get 40%

so 60% boys and 40% girls

60% + 40% = 100%

SOMEONE PLZ HELP ME plzzzzzzz

Answers

Answer:

B

Step-by-step explanation:

What single percentage change is equivalent to a 11% decrease followed by a 15% decrease?

Answers

Answer:

Read the explanation to find your answer.

Step-by-step explanation;  

First, work out the difference (decrease) between the two numbers you are comparing. Next, divide the decrease by the original number and multiply the answer by 100.

Answer:

The answer is 75.65%.

Step-by-step explanation:

Since we are decreasing the percentages, we will first take 100 and subtract 11% from it, which is 89%.  Now take 15% and turn it into decimal form, and we get 0.15.  Then multiply 0.15 by 89 and we get 13.35.  Now we have our number 13.35, we will subtract 89 from 13.35, and we get 75.65%.  Therefore, the answer is 75.65%.

Which of the following are
undefined?
f(g(0))
f(g(-1))
f(g(1/6))
g(f(-1))
g(f(1/2))
g(f(1/6))

Answers

Take a picture of the question and then post it so I can help

Answer:

B, D, F

Step-by-step explanation:

Edgen2021

find sin in the triangle
3/4
4/3
3/5
4/5​

Answers

The Answer Is Sin(B)=4/5

[tex] \sin( \beta ) = \frac{opposite}{hypotenuse} [/tex]

Meaning, sin(B)=4/5

Answer:

4/5

Step-by-step explanation:

The angle you want to look at is the one given to you with the beta symbol. The trigonometric funtion sin mean opposite/hypotenuse. The side that is opposite is stright across from ∠β which would be 4. The hypothenuse is the largest side of the triangle or the "slanted side of the triangle." With that explanation, the hypotenuse is 5.

Find the center and radius of the circle:
x2 + y2 + 14x – 2y + 25 = 0

Answers

Center =(-7, 1)
Radius = 5

PLZ HELP

How many solutions does the equation 3s + 7 = 3 + 4 + 3s have? (5 points)

a
Two

b
None

c
One

d
Infinitely many

Answers

Answer:

(d) infinitely many solutions

Step-by-step explanation:

Subtract 3s from both sides of 3s + 7 = 3 + 4 + 3s.  We get

7 = 3 + 4, or 7 = 7.  This is always true.  There are (d) infinitely many solutions.

Answer:

(d) infinitely many solutions.

Which expression gives the solutions of -5 + 2x^2 = -6x?

Answers

Answer:

the correct answer is: D


Which of the following expressions is a factor of 2x2 – 112 + 15?

Answers

Answer:

Step-by-step explanation:

where are the expressions?

What is 1\10 x 1.2 >>>>>>>>>>>>>>>>>>>>>>>>

Answers

Answer:

1/10 x 1.2 is 0.12

Step-by-step explanation:

so yeeeeeeee

Please simplify. IF U TRY TO SCAM ME WITH A LINK OR A NON ANSWER, I REPORT!!

Answers

Answer:

1. 192 or 12^4       13. 4c^7 d^13

2. 8x^6                 14. 16f^10 g^22

3. x^8                    15. x^4y^4

4. 4x^5                  16. xy

5. 6^2                    17. x^12/64y^9

6. 1/x^3                  18. x^8/256y^16

7. 1                         19. 1/y^7

8. -1                        20. 1/49

9. y^12                    21. x^5

10. x^8y^4              22. 16

11. 3x^3                   23. x^4

12. 2x^3                  24. 1/x^6

                               25. x^2

                               26. 1/j^3

Hope this helps! :)

2
EXERCISE 6.4
Challenge
Use the given rules to complete the following tables.
1
2
3
4
12
Position in sequencen
Term in sequence y = 2n + 3
the position in the
Imagine that you
work for 30 days.
Which of the
following two salar
would you rather
earn? Explain your
choice.
2.
1
2
3
4
15
10
Position in sequencen
Term in sequence y = -2n - 4
3.
2
Position in sequencen
3
18
4
10
Term in sequence y = -5n - 4
1
2
3
4
11
Position in sequencen
Term in sequence y = -2n - 14
10c on the first
20c on the seca
day; 40c on the
third day; 800
the fourth day
so on, for 30 C
R100 on the f
day; R101 on
second day;
on the third
and so on, fa
days.
.
10
5.
1
2
3
4
10
Position in sequencen
Term in sequence y = n+1
6.
2
1
20
3
4
Position in sequences
Term in sequence y = 2r2

Answers

Answer:

Unit 9 Answer Key.pdf

Step-by-step explanation:

Search that up and you'll see all the answers

Please give me Brainliest and like and rate please hope this helps BYE!

Is (0,-2) the correct solution? True or False

Answers

I ThINK IT TRUE BUT I COULD BE WRONG NOT SURE 100%

Please help. I will give brainliest.

Answers

Answer:

e

Step-by-step explanation:

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