Transform the quadratic function defined by y=ax2+bx+c into the form y=a(x-h)2+k 1.Y=x2-6x-3 2.Y=5x2-20x-5

Answers

Answer 1

Answer:

1) y = (x-3)²-12

2) y = 5(x-2)²-9

Step-by-step explanation:

Given the quadratic expressions

y=x²-6x-3

We are to transform it in the form y=ax²+bx+c

y=(x²-6x)-3

Complete the square of the expression in parenthesis

y = (x²-6x + (6/2)² - (6/2)²)-3

y = (x²-6x+3²-3²)-3

y = (x²-6x+9-9)-3

y = (x²-6x+9)-12

y = (x²-3x-3x+9)-12

y = x(x-3)-3(x-3)-12

y = (x-3)(x-3)-12

y = (x-3)²-12

Hence the transformation is y = (x-3)²-12 where a = 1 and k = -12

For the quadratic equation

y=(5x²-20x)-5

y = 5(x²-4x)- 5

Complete the square of the expression in parenthesis

y = 5(x²-4x+4-4)- 5

y = 5(x²-4x+4)-9

y = 5(x-2)²-9

Hence the transformation is y = 5(x-2)²-9 where a = 5 and k = -9


Related Questions

Can someone please help me on this question?

Answers

Whoever sees this have a great day ❤️

A veterinarian is interested in the average number of pets her clients own. Over the course of a month, she questions each client she meets with and records their responses. The veterinarian calculates the average and draws a conclusion from her data.

What kind of statistical study did the veterinarian conduct?

A.
theoretical study
B.
survey
C.
experiment
D.
observational study

Answers

I’m pretty sure the answer is B. survey.

Answer:b

Step-by-step explanation:

Plato

please help me on this , tyyy :]

Answers

9514 1404 393

Answer:

  (a)  1, 2

  (b)  4

Step-by-step explanation:

(a)  9x +81 = 9·x +9·9 = 9(x +9) . . . . . . matches first and second choices

__

(b)  10 +14y -5 -y = (14y -y) +(10 -5) = 13y +5 . . . . . . matches fourth choice only

PLEASE HELP FAST FIND THE DOMAIN AND RANGE OF EACH GRAPH ILL GVIE 30 POINTS!

Answers

Answer:

1. domain (-3,5] range (3,4]

2. domain [-2,4] range [5,4]

3. domain (1,4) range (-1,-4)

Step-by-step explanation:

im in algebra two so you can trust my answer. happy holidays and stay safe!

Step-by-step explanation:

1).domain [-3,5)

range( -4,3]

2)domain[-2,4)

range:[-2,5)

3) domain[1,4]

range [-4,-1]

HELPPP ASAP!!! Fernando, sixty-six, developed tremors a few years ago. Now he is becoming unsteady on his feet. Which of
the following would explain these symptoms?
O Alzheimer's
O frontal lobe dementia
O andropause
O Parkinson's

Answers

Parkinson’s disease.

Answer:

The answer is Parkinson's Disease

Step-by-step explanation:

It is correct on Odyssey Ware

Raquela's coworker made price tags for several items that are to be marked down by 35%. Match each Regular Price to the correct Sale Price.
Regular Price: $4.19
Regular Price: $3.09
Regular Price: $3.77
Regular Price: $3.29
.: Sale Price: $2.01
.: Sale Price: $2.45
:: Sale Price: $2.72
: Sale Price: $2.14

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

I like a spreadsheet for doing repetitive calculations. The matchup is shown in the attachment.

The sale price is 100% - 35% = 65% = 0.65 times the regular price.

__

Here, you can also identify the matches by putting the prices in numerical order. The lowest regular price will correspond to the lowest sale price.

  regular, sale

  3.09, 2.01

  3.29, 2.14

  3.77, 2.45

  4.19, 2.72

Write a real-world problem where you would

want to compare rates of change for two different functions.

Answers

Answer and Step-by-step explanation:

Let us assume two boys are jogging.

Boy 1 jogging speed is 10 kilometres per hour

Boy 2 jogging speed is 20 kilometres per hour

This can be represented in terms of distance, d and time, t. When we do this, we have:

d = 10t boy 1

d = 20t boy 2

This implies that boy 1 rate of change is 10 kilometers for every one hour and boy 2 is 20 kilometers for every 1 hour.

From here, we can conclude that the rate of change of boy 2 is twice the rate of change of boy 1.

-3 5/6 make it a decimal

Answers

Answer:

-3.56 i think .

Step-by-step explanation:

the correct answer is -2.5

Find the value of : 0.678 multiplied by 9.01/0.0234

Answers

Answer:

261.06 (Approx)

Step-by-step explanation:

Given:

Two number = 0.678,9.01/0.0234

Find:

Multiply

Computation:

⇒ 0.678,9.01/0.0234

⇒ 0.678 x [9.01/0.0234]

⇒ 6.10878 / 0.0234

⇒ 261.058874

261.06 (Approx)

Miguel took 7 hours to read a 259-page book and Julissa took 5 hours to read a 175-page book. Who read more pages per hour?

Answers

M: 259/7=37 pages per hour
J: 175/5= 35 pages per hour

Answer: Miguel

please can someone help me with this?

Answers

Point A is at (0,0). This is the origin.

To move to A'(5,2), we will do two things:

shift 5 units to the rightshift 2 units up

This will have (0,0) move to (5,2).

Points B,C, and D follow the same steps to get what the diagram shows. This is why the entire figure moves 5 units to the right and 2 units up. Everything is in lock-step with each other. This keeps the same shape and size.

If you want to use symbols, then you can describe the translation rule as [tex](x,y) \to (x+5, y+2)[/tex]. We add 5 to the x coordinate to shift 5 units to the right, and we add 2 to the y coordinate to shift 2 units up.

Do the bois got me? Please bois

Answers

Answer:

the 2

second one

Step-by-step explanation:

Answer:

DFA BFC

Step-by-step explanation:

PLEASE HELP VERY URGENT!



The graph shows the distance Kerri drives on a trip. What is Kerri's speed?
Driving Time and Distance

A. 25 miles per hour
B. 60 miles per hour
C. 75 miles per hour
D. 50 miles per hour

Answers

Answer:

Kerri's speed = 50 mile per hour. Therefore option (D) is true.

Step-by-step explanation:

Given the distance-time graph

It is clear from the distance-time graph that:

at Time = 1 hour, Distance = 50 milesat Time = 2 hours, Distance = 100 miles

so the two points on the distance-time graph is:

(1, 50)(2, 100)

Finding the slope between the points to determine the speed.

Please note that the slope between the points represents the speed or rate of change.

Speed = Rate of change = y₂-y₁ / x₂-x₁

                                         = 100 - 50 / 2-1

                                          = 50 / 1

                                           = 50 miles per hour

Thus, Kerri's speed = 50 mile per hour. Therefore option (D) is true.

Ltd say we're given the quadratic equation x + 2x2 - 4 = -7x + 6

Enter your answers separated by a comma

Answers

Answer:

x=1 ,x= -5

Step-by-step explanation:

x+2x2-4=-7x+6

2x2+x+7x-4-6=0

2x2+8x-10=0

divide through out by 2 to reduce the equation

x2+4x-5=0

by using formula method

x=[-b+\-√b2-4ac]/2a. a=1, b=4 c=-5

x=[-4+\-√4^2-4*1*-5]/2*1

x=[-4+\-√16+20]/2

x=[-4+\-√36]/2

x=[-4+\-6]/2

x=(-4+6)/2 ,x=(-4-6)/2

x=2/2 , x=-10/2

x=1 , x=-5

The number of solutions to the equation are two and Real in nature. The solutions are x = 1 and x = - 5.

We have the following quadratic equation -

x + [tex]2x^{2}[/tex] - 4 = -7x + 6

We have to determine its solutions.

What is the Quadratic formula to find the roots of a quadratic equation ?

The Quadratic formula is -

[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

According to question, we have -

x + [tex]2x^{2}[/tex] - 4 = -7x + 6

Rearranging the equation -

[tex]2x^{2}[/tex] + x + 7x - 4 - 6 = 0

[tex]2x^{2}[/tex] + 8x - 10 = 0

Using the quadratic formula -

[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$x=\frac{-8\pm\sqrt{64-(-80)}}{4}$[/tex]

[tex]$x=\frac{-8\pm\sqrt{144}}{4}$[/tex]

[tex]$x=\frac{-8 +12}{4}[/tex]       and         [tex]$x= \frac{-8-12}{4}[/tex]

x = 1         and       x = - 5

Hence, the number of solutions to the equation are two and Real in nature. The solutions are x = 1 and x = - 5.

To solve more questions on Quadratic Equations, visit the link below -

brainly.com/question/23458698

#SPJ6

what is the answer to the question?​

Answers

Answer:

What is the sum of the exterior angles in a regular 15-gon?

The sum of the exterior angles in any convex polygon, including a regular 15-gon, is 360∘.

Step-by-step explanation:

thank me later

mark me as brainliest please

Answer:

5 exterior angles.

Step-by-step explanation: since they all have to add to 360 you can divide 360/5 = 72. You can also check by adding one interior angle plus 72 and checking if you get 180.

Four friends had dinner at a restaurant. The bill was $55.40, and they added a 20% tip. The 4 friends shared the total cost equally. How much money did each person pay?

Answers

Answer:

$16.62 each

Step-by-step explanation:

First, find 20% of the bill to figure out how much the tip is worth:

20% over 100% = $x over $55.40 ---> 20 * 55.4 / 100 = 11.08

Now that we know the tip is $11.08, next add it on to the bill:

$11.08 + $55.40 = $66.48

Now divide this by 4 to split the bill evenly between the 4 friends:

$66.48 / 4 = $16.62

Which represents z = 3 (cosine (StartFraction 7 pi Over 6 EndFraction) + I sine (StartFraction 7 pi Over 6 EndFraction) )?

Answers

Answer:

The first one

Step-by-step explanation:

Answer:

A on edge

Step-by-step explanation:

N = {X:X
is an odd number, 21<x<3
XEN]​

Answers

So it’s saying that the following set in roster form: (1) N = (x :x is an odd number, 21< × ≤ 35,×€ N)?

It seems to be that the Roster form would do not do anything but the thing is that this listing would give us the output of a set from this problem.

Your answer would be, N = Set of Odd Numbers such that x is greater than 21 and less than or equal to 35 = {23, 25, 27, 29, 31, 33, 35}.

Please help me. Solve for x state the properties used. 5(x - 2) - 6 = 24

Answers

Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

5(x - 2) - 6 = 24

Step 2: Solve for x

Add 6 to both sides:                    5(x - 2) = 30Divide 5 on both sides:                x - 2 = 6Add 2 to both sides:                    x = 8

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    5(8 - 2) - 6 = 24Subtract:                              5(6) - 6 = 24Multiply:                               30 - 6 = 24Subtract:                              24 = 24

Here we see that 24 does indeed equal 24.

∴ x = 8 is the solution to the equation.

I don’t know how to do this I’m so confused

Answers

Answer:

You have to graph it

Step-by-step explanation:

Step-by-step explanation:

take the value in that BIG curly bracket as X terms....then substitute one by one to the equation given below to get Y values...after that u have cordinates then u can draw the graph..

[tex]x \: \: \: y \\ - 2 = - 8 \\ - 1 = - 10 \\ 0 = - 12 \\ 1 = - 14 \\ 2 = - 16[/tex]

this is for the first equation..so the coordinated are...

(-2,-8), (-1,-10), (0,-12), (1,-14), (2,-16)

use the same methord to find the others

Which equation represents the relationship between the x -values any the y -values in the table?

Answers

The answer is D: y=6x+4

How can I divide 18/15 without any leftovers

Answers

Answer:

You can turn the leftovers into a decimal. the answer you would get would be 1.2.

Step-by-step explanation:

Hope this helps and have a nice day!

Answer:

Calculate out how many times the denominator goes into the numerator. To do that, divide 18 by 15 and keep only what is to the left of the decimal point:

18 / 15 = 1.2000 = 1

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

18 - (15 x 1) = 3

Keep the original denominator and use the answers from Step 1 and Step 2 to get this:

1 3/15

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 18/15 as a Mixed Number is:

1 1/5

Which would also equal to 1.2000.

Hope this kinda helped and made some sense.

            (☞゚ヮ゚)☞BRAINIEST☜(゚ヮ゚☜)            

Step-by-step explanation:

Jack can type 35 words per minute. How long would it take Jack to type a 490 word essay?

Answers

490 divided by 35 equals 14. It would take Jack 14 minutes to write a 490 word essay.
490 divided by 35= which is 15 so... 15 min. You can check by multiplying 35 by 15

pllsss I needddd helpp

Answers

I can’t see, make it clear

Eliza is planning a 5-day trip. She has budgeted $38.25 a day for food and the hotel will cost a total of $349.75. She also is bringing $495.00 for spending money. What is the average cost per day for Eliza’s trip?

Answers

Answer:

$207.20

I hope this can help in any way!

SOLVE FOR X please help !!!!!!!!!!!

Answers

think of it as half a circle which all equals up to 180 degrees

subtract 180 degrees with 62 degrees which 62 degrees is in the problem.

180-62=118 degrees

so your answer is C) 118 degrees

hope that helped you out:)

Please mark my answer brainiest

1. At a water park, you can rent a raft for $2 per
hour.

Answers

Is there a question here

A bag of flour contains 24 cups. Each sponge cake that Gilda makes uses 3 cups of
flour. How many cakes can she make with one bag of flour?
8
3
24
1

Answers

Answer:

8

Step-by-step explanation:

This is the answer because:

1) Since there are 24 cups in one bag and she uses 3 cups per cake, all we have to do is divide:

24 ÷ 3 = 8

Therefore, the answer is 8.

Hope this helps! :D

If f(x) = 2x − 1 and g(x) = f(x + 1), how does the graph of g compare with the graph of f?

Answers

It is 5 units right, and 2 units up

what is the value of 5 + -2​

Answers

Answer:

3

Step-by-step explanation:

5 is greater than 2 and two is negative so the answer is positive

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