equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6)

Answers

Answer 1

[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]

Step-by-step explanation:

The vertex form of the equation for a parabola is given by

[tex]y = a(x - h)^2 + k[/tex]

where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as

[tex]y = a(x - 1)^2 - 6[/tex]

Also, since the parabola passes through (4, -7), we can use this to find the value for a:

[tex]-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6[/tex]

or

[tex]a = -\frac{1}{9}[/tex]

Therefore, the equation of the parabola is

[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]


Related Questions

Jeffrey makes 3% commission on
his sales. If his sales total $1800
this week, how much money will he
make?

Answers

Answer:

He will make $54

In a school 2/3 parts of the total numbers of students. 3/10 parts are between 8 to 12 years and the remaining are above 12 years . What parts of the students are above the age of 12 years.​
ans:3/10​

Answers

3/10

As you know the answer already I don't think you need any further explanation :)

solve pls brainliest

Answers

Answer:

Below.

Step-by-step explanation:

a. 360 - 168

= 192 ft above sea level.

b. -168 - (-132) = -36.

36 feet lower.

CAN Someone PLS HELP ME PLSSSSSSSSSSSS

Answers

Answer: where is the rest of the problem

Step-by-step explanation:

-$107.85

PLEASE HELP ME
How would Newton’s second law of motion impact the fitness routine of someone who is significantly overweight? Is there any type of fitness activity that a significantly overweight person could do where Newton’s second law of motion would not be a factor?

Answers

9514 1404 393

Explanation:

Newton's second law relates force, mass, and acceleration. For the same acceleration, more force is required to change the motion of more mass.

(a) Any fitness routine where velocity changes are involved will be impacted by Newton's second law. A significantly overweight person would have to expend significantly more energy to achieve the same changes of motion in the same period of time.

(b) Any fitness routine in which changes of speed or direction at a specific rate are not required will not be impacted by Newton's second law. These might be Tai Chi routines, weight lifting, or any other routines in which speed of completing a cycle of motion is not a factor.

A seed weighs 0.00002421 ounces. What is this value in correct scientific notation?
A) 2421 x 108
B) 2.421 x 105
2.421 x 10-5
D 2421 x 10
-8

Answers

Answer:

C) 2.421 x 10^-5

Step-by-step explanation:

A negative exponent on a power of ten will make the decimal point go back that amount of times to the left, making it a lesser number. A positive exponent will cause it to move to the right, making the number greater. We aren’t going to need to make any of the numbers being multiplied greater, so we can eliminate the first two. Then we need to solve the others. We can do this by moving the decimal the amount of times that we see the exponent equals. Since C is -5, we move it to the left 5 times, and get the weight of the seed; 0.0002421.

Hope This Helped!

Label the figure.
20,24,114,702

Answers

The first diagram area= 810 perimeter= 114
The second diagram area= 35 perimeter= 24

Homework help!!!!!!!!

Answers

Answer:

u=-1

Step-by-step explanation:

if you replace with a or b the answer on the left side is actually bigger since it is closer to 0 than -20. same with choice d

choice c makes -12-28 which is a smaller value than -20

the answer is u= -1

-

The probability that record drawn randomly from a standard deck of 52 cards is a four

Answers

Answer:

1/13

Step-by-step explanation:

no.of sample space n(S) = 52

no.of favourable cases n(E) = 4

probability of getting a four p(E) = n(E) / n(s)

or, 4/52

or 2/26

or 1/13

therefore,the probability of getting a four is 1/13.

add the fraction 9/+1 1/6=10 1/4​

Answers

Answer:

41/4

Step-by-step explanation:

What do you call 7 in this division problem?
28 = 7 = 4
O A. Dividend
B. Divisor
C. Quotient
D. Product
SUBMIT

Answers

It’s would be b Divisor

Which sign makes this number sentence true?

|-56| __ |56|
A. >
B. <
C. =
D. x

Answers

C. =, the absolute value of a number is always positive

Choose the 3 correct answers please! ( Branliest )

Answers

Answer:

Option A,B,E are equivalent.

Step-by-step explanation:

What we are given: Expression

To find : Which expressions are equivalent to given expression ?

Solution :

We solve the expression and check,

A) Yes it is equivalent.

B) Yes it is equivalent.

C) No it is not equivalent.

D) No it is not equivalent.

E)  Yes it is equivalent.

Therefore, Option A,B,E are equivalent.

Step-by-step explanation:

Hope this Helps =)

Answer:

A , C , E

Step-by-step explanation:

Answer A :

[tex] - 30(3 + 2w) \\ - 30(3) - 30(2w)\\ - 90 - 60w[/tex]

It's equivalent. ✔️

Answer B :

[tex]( - 9 - 6w) - 10 \\ - 9 - 6w - 10 \\ - 19 - 6w[/tex]

It's not equivalent. ✖️

Answer C :

[tex] - 3(30 - 20w) \\ - 3(30) -3(20w) \\ - 90 - 60w \\ [/tex]

It's equivalent. ✔️

Answer D :

[tex](6 + 4w) \times 15 \\ 15(6)+ 15(4w) \\ 90 + 60w \\ [/tex]

It's not equivalent. ✖️

Answer E :

[tex] - 20(4.5 + 3w) \\ -20(4.5) -20(3w) \\ - 90 - 60w \\ [/tex]

It's equivalent. ✔️

the price is three for $1.48 how much will one pepper cost?

Answers

Answer:

$0.4933

Step-by-step explanation:

i guess

Just divided by 3 ;)

cuantos paquetes de 5/8 de kilo harán falta para envasar 125 kilos de harina

Answers

Step-by-step explanation:

dcfhhjjvcdddfhjkhfsazgjhsswrup07532490ojdhj

please help algebra ii!

Answers

Answer:-4

Step-by-step explanation:we can easily see it on the graph

Yeah and that is what’re the point is on the graph


What number is 7 times as much
as 9?


Answers

Answer:

63

Step-by-step explanation:

9•7=63

Solve using proportions

Answers

4:3 means 4/7 of the class are men

4/7 of 490 is 280

Simplify the following:

[tex]\sqrt{50} x^{2} y^{3}[/tex]

Answers

Answer:

5xy[tex]\sqrt{2y}[/tex]

Step-by-step explanation:

Answer: simplify

5√2x² y²

When converted to a household measurement, 9 kilograms is approximately equal to a

Answers

Abt 317.4 oz or 19.4 lb

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

Can someone answer this please I need it ASAP

Answers

Answer:

Frank scored 10 runs

B) the mean is 20

Step-by-step explanation:

I really need assistance with this question

Answers

Answer:

first

Step-by-step explanation:

Lumen

Managerial Accounting

Chapter 5: Cost Behavior and Cost-Volume-Profit Analysis

5.6 Break – Even Point for a single product

Finding the break-even point

A company breaks even for a given period when sales revenue and costs charged to that period are equal. Thus, the break-even point is that level of operations at which a company realizes no net income or loss.

A company may express a break-even point in dollars of sales revenue or number of units produced or sold. No matter how a company expresses its break-even point, it is still the point of zero income or loss. To illustrate the calculation of a break-even point watch the following video and then we will work with the previous company, Video Productions.

Before we can begin, we need two things from the previous page: Contribution Margin per unit and Contribution Margin RATIO. These formulas are:

Contribution Margin per unit = Sales Price – Variable Cost per Unit

Contribution Margin Ratio = Contribution margin (Sales – Variable Cost)

Sales

Break-even in units

Recall that Video Productions produces DVDs selling for $20 per unit. Fixed costs

What is the solution to the equation?
-4 = 1
.
Enter your answer in the box.
X=

Answers

Step-by-step explanation:

I'm not sure about my answer

suzanne bought 50 apples at the apple orchard.She bought 4 times as many red apples as green apples. how many more red apples than green apples did suzanne buy?

Answers

Answer:

30 more red apples

Step-by-step explanation:

let 'a' = # of green apples

let '4a' = # of red apples

a + 4a = 50

5a = 50

a = 10

# of red apples:  10(4) = 40

# of green apples:  10

solve for the value of n
(9n) (8n+8)

Answers

Answer:

undoable

Step-by-step explanation:

theres no =

Solve for the variable

9b+4−8b=7

b = ?

Answers

The answer is 3
B+4=7
B=7-4
B=3

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

Where's The Answer Im Sorry I Didn't See Anything....m

Simplify by using the product, quotient, and power rules

Answers

Answer:

3y^5

Step-by-step explanation:

PLEASE HELP ITS MATH THANK YOUUUU HURRY

Answers

You need to get this app, it’s so helpful!

Which of the strategies below could help you find 72-25? Select all the correct answers.

Answers

Step-by-step explanation:

25+5=30

30+40=70

70+2=72

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