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

Please help I’ll give brainliest

Answers

Answer:

ITS D GOOD LUCK WITH YOUR HMK

what is the cost of insurance for a female at 50 as a percentage of the same insurance for a male in his 30s female cost $819.73 the male's rate would be $1,192.64?​

Answers

aaaaaaaaajaaaajaaaaaaaaaaaa

Si el punto (5,0) está en una gráfica, żes (5,0)
la intersección con el eje y de la gráfica? Explica

Answers

Answer:

Can you put it in English pls..

Step-by-step explanation:

36. The girls' gym teacher needs to purchase
15 softballs, 5 packages of tennis balls,
and 2 soccer balls. She plans to collect
$1 from each of her 15 students to help
pay for the balls. Write and evaluate an
expression to show how much more the
teacher will have to pay.
Help

Answers

Answer:Message me for full answer

Step-by-step explanation:

can you help please i beg you guys

Answers

Answer:

Mr. Pandya's class has 12 boys and 18 girls.

Mr. Chapman's class has 5 girls and 25 boys.

Step-by-step explanation:

a) The simplest form of 20
100
is _____________.

b) The mixed fraction of 80
9
is _____________.

c) When we convert 13 5
7
to an improper fraction, we get __________.

d) In a basket of 27 mangoes, 6 are rotten. This statement can be written as a fraction
as (give the answer in the simplest form) ___________.

Answers

[tex]a) \: \: \frac{20}{100} \\ = \frac{1}{5} \\ b) \: \: \frac{80}{9} \\ = 8 \frac{8}{9} \\ c)13 \frac{5}{7} \\ = \frac{96}{7} \\ d) \frac{6}{27} \\ = \frac{2}{9} [/tex]

Please I need help I wasn’t at school today

Answers

The slope would be 3/2.

Show your work. -2.5(4x -4) = -6

Answers

Answer:

x = 1 3/5

Step-by-step explanation:

distribute.

-2.5*4x + (-2.5*-4) = -6

-10x +10 = -6

subtract 10 on both sides

-10x = -6 -10

divide by -10

x = -16/-10

x = 1 3/5

What is an acute- angled triangle?
A.) Has 3 acute angles
B.) Has 1 right angle
C.) Has one acute angle
D.) Has 1 obtuse angle ​

Answers

Answer:

c

Step-by-step explanation:

It has 3 acute angles

Blaine subtracted 340,139 from 601,800 Is Blaine's answer correct? If not, explain why and write the correct answers.​

Answers

Answer:

fsuu vvv

Step-by-step explanation:

gdcytzvnvdezcghiyyk for giving biscuits vicbeddings vicbeddings vicbeddings

A fair 20-sided die is tossed. What is the probability that the numbers 15 or 4 or 18 are tossed?

Answers

The probability of 1 number showing up out of 20 is 1/20

The probability of 3 different numbers showing up would be 3/20

Answer: 3/20

7. The new York Volleyball Association
invited 64 teams to compete in a tournament.
After each round, half of the teams were
eliminated.
How many teams are left after 3 rounds?

Answers

Using a geometric sequence, it is found that after 3 rounds, 8 teams are left.

In a geometric series, the quotient between consecutive terms is always the same, and it is called common ratio q.

The general equation of a geometric series is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem:

64 teams were invited, thus [tex]a_1 = 64[/tex].After each round, half the teams are eliminated, thus [tex]q = \frac{1}{2}[/tex].

The number of teams after 3 rounds is the 4th term of sequence, as the first is the initial number(0 rounds), thus:

[tex]a_n = a_1q^{n-1}[/tex]

[tex]a_4 = 64\left(\frac{1}{2}\right)^{4-1}[/tex]

[tex]a_4 = 8[/tex]

After 3 rounds, 8 teams are left.

A similar problem is given at https://brainly.com/question/25317689

please help me with this sum​

Answers

Answer:

Step-by-step explanation:

2. 3 × 12 = 3 × 2 × 6 = 3 × 2 × 2 × 3

3. 4 × 9 = 2 × 2 × 3 × 3

4. 6 × 6 = 2 × 3 × 2 × 3

please give me a brainliest answer

Step-by-step explanation:

2. 36 = 3 × 12 = 3 × 2 × 6 = 3 × 2 × 2 × 3

3. 36 = 4 × 9 = 2 × 2 × 3 × 3

4. 36 = 6 × 6 = 2 × 3 × 2 × 3




Write 1000 as a power of 10





Answers

10 to the power of 3 is the answer brainlist plz plz

What is 5.521 rounded to the nearest whole number?

Answers

Answer:

6

Step-by-step explanation:

If the first number (in this case, behind the decimal) is 5 or more, you round up. If it is 4 or less, you round down. since 2 and 1 are less than 4, you round down making them both 0. Then, you round up making the answer 6. I hope this makes sense! I wasn't entirely sure how to explain this.

please help me !!! and thank youu !

Answers

Answer:

a=-3

b=-63

c= 2

d=8

e=9

f=128

h=-21

i=24

Step-by-step explanation:

choose the equation of the graphed function

Answers

The answer is C y=|x|+7

Student Council sells bottled water at the cheerleading completion. At this rate, how many cases of bottled water would they sell in 3 hours? ________________________

Cases Sold: 3 and 6
Time (minutes): 20 and 40

Answers

Answer:

27

Step-by-step explanation:

Lets find the rate of selling:

Let v= the rate of selling, b = number of bottles of water, and t = time:

b over t gives us the [tex]v=\frac{b}{t}=\frac{3}{20}=\frac{6}{40}=0.15[/tex] rate of selling:

3 hours is 60min * 3 = 180 mins, and since v=b/t, vt=b:

(0.15) * 180 = 27 bottles of water

5551-525152+62626626×552526
solve it.​

Answers

Answer:

=34602838637675

Step-by-step explanation:

=−519601+(62626626)(552526)

=−519601+34602839157276

=34602838637675

Who can help me with this entire page?

Answers

Answer:

I'm not entirely sure what the question is but every thing under 12.5 is closer to 12, everything 12.5 and upwards like 12.87 would be closer to 13

HELP

slope = 1; y-intercept =8

Answers

Answer:

[tex]y = mx + c \\ m = 1 \\ c = 8 \\ y = 1x + 8 \\ y = x + 8[/tex]

Given :-

slope = 1 y intercept = 8

To find :-

The equation of the line .

Solution :-

We know that ,

y = mx + c

On substituting ,

y = 1*x + 8 y = x + 8

what is the midpoint of-2,2 4,-1

Answers

The midpoint is at (1, 0.5)

help pls don't get it wrong I have an election tmr to see if I have good grades pls help​

Answers

SO, WHERE IS YOUR QUESTION?

BTW,,

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[tex]just \: comment \: if \: you \: want[/tex]

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Answer:

pls mark my brainliest because you didn't wriitten coorect question

Step-by-step explanation:

100 POINTS FOR THE CORRECT ANSWER
(03.03 MC)

A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:

f(m) = 3(1.09)m

Part A: When the marine biologist concluded her study, the length of the fish was approximately 5.98 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)

Part C: What is the average rate of change of the function f(m) from m = 2 to m = 8, and what does it represent? (4 points)

Answers

Answer:

I hope this helped. Look throught the pictures

Step-by-step explanation:

Answer:

Part A: 0<x<9

Part B: The y-intercept 3 represents how big the fish was when she first started her study.

Part C: The average rate of change from m=2 to m=8 is 2.09, and it represents the growth of the species of fish.

I don't know about Part C, but I hope this helps!

Diane took a loan out for $3000 for 11 months and was charged a simple interest. The total interest she paid was $253. What’s her interest rate

Answers

Answer:

$300

Step-by-step explanation:

Diane's interest rate on the loan is approximately 8.43%.

Let's determine Diane's interest rate step by step.

1. First, we need to understand the formula for simple interest:

  Simple Interest (SI) = Principal (P) × Rate (R) × Time (T)

  where:

  P = Principal amount (initial loan amount)

  R = Interest rate (unknown, what we want to find)

  T = Time period in years

2. We have the following information from the problem:

  P = $3000 (Principal amount)

  SI = $253 (Total interest paid)

  T = 11 months

3. However, to use the formula, we need to convert the time from months to years. Since 1 year has 12 months, we can write:

  T = 11 months ÷ 12 months/year

     ≈ 0.917 years

4. Now, let's rearrange the formula to solve for the interest rate (R):

  R = SI / (P × T)

  Substituting the given values:

  R = $253 / ($3000 × 0.917) ≈ 0.0925

5. Finally, we need to convert the interest rate from a decimal to a percentage:

  R = 0.0925 × 100 ≈ 8.43%

So, Diane's interest rate on the loan is approximately 8.43%.

In summary, to find the interest rate, we used the simple interest formula and rearranged it to solve for the rate. We converted the time from months to years before calculating the interest rate. The result is approximately 8.43% interest rate, indicating the percentage of the principal that Diane had to pay as interest over 11 months.

To know more about Interest rate here

https://brainly.com/question/29791496

#SPJ2

The four points A(-1.0). B(3.b). C(a. 2) and D(-2.1) are the vertices of a parallelogram ABCD. find the value of a and b.​

Answers

Answer:

Step-by-step explanation:

prove that 4^2n + 10n − 1 is divisible by 25. [hint: binomial theorem]​

Answers

Answer:

0

Step-by-step explanation:

4^2 + 10-1

16 + 10 - 1

26 - 1

25

25 divided by 25 = 0

The picture shows a sandwich box:

A sandwich box is shown with a right triangle side. The right triangle has hypotenuse 14 cm and base 12 cm.

What is the approximate minimum height of a shelf in which this box can fit in the position shown in the pi

Answers

Answer:

the answer is 7.2 cm

Step-by-step explanation:

14^2 is 196

12^2 is 144

196 - 144 = 52

square root of 52 = 7.2

also i did FLVS & got it right lol

Can somebody help me as soon as possible?

Answers

Answer:

2400

Step-by-step explanation:

y= -300x + 2400

-300 equals the slope

2400 is the y-intercept

Equation: y = mx + b

Helpppppppp meeeeeeee

Answers

Answer:

Step-by-step explanation:

solution 1:

570 not man = 15% (cause 100% - 85%)

15% = 570

100% = w (for "whole package")

15w = 100 * 570

15w = 57000

w = 57000 / 15

w = 3800

solution 2:

15% = 570

85 = m (for "men)

15m = 570 * 85

15m = 48450

m = 48450 / 15

m = 3230

100% = 85% + 15%

100% = b (for "buch of people")

b = 3230 + 570

b = 3800

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