Mathematics High School

Which quadratic function in vertex form has a vertex at (-2, 5) And passes through the point (2, -3)?

Which Quadratic Function In Vertex Form Has A Vertex At (-2, 5) And Passes Through The Point (2, -3)?

Answers

Answer 1

Answer:graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}

Step-by-step explanation:

y

=

−

19

9

(

x

+

3

)

2

+

5

Explanation:

If an equation representing a parabola is in vertex form such as

y

=

a

(

x

−

k

)

2

+

h

then its vertex will be at

(

k

,

h

)

. Therefore the equation for a parabola with a vertex at (-3, 5), will have the general form

y

=

a

(

x

+

3

)

2

+

5

If this parabola also passes through the point

(

0

,

−

14

)

then we can determine the

a

parameter.

−

14

=

a

(

0

+

3

)

2

+

5

9

a

=

−

19

a

=

−

19

9

So our equation in vertex form is

y

=

−

19

9

(

x

+

3

)

2

+

5

graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}

Related Questions

pls help me !!

a sector of a circle has a central angle measure of 90°, and an area of 7 square inches. what is the area of the entire circle?

area of the circle = __ square inches

Answers

Step-by-step explanation:

area of circle - pie x r x r

22/7 x 7/2 x 7/2 ( 7 as diameter because it's straight line passing through centre)

77/2 is the sq inches

Solve for X please! Include small explanation as-well

Answers

Answer:

x = 26

Step-by-step explanation:

Take the sides in proportion.

7/56 = 8/(2x - 4 + 8)1/7 = 8/(2x+4)2x + 4 = 8(7) = 562x = 52x = 26


Which answer choice correctly represents an algebraic expression for the quotient of a number and 8?
A 8j
B 1:8
C 3-8
D
8+j

Help mee please

Answers

Answer:  [tex]j \div 8[/tex]

We're dividing unknown number j over 8

We can write it as [tex]\frac{j}{8}[/tex] similar to how [tex]\frac{3}{4} = 3 \div 4[/tex]

The quotient is the result of a division problem (there may or may not be a remainder).

Helllllp!!!! Will Mark Brainliest!!!

Answers

Answer:

from my side it's blurry

Sheila is biking at a constant speed. She travels 54 meters in 9 seconds.
How long in seconds would it take Sheila to travel 90 meters at this speed?
Enter the number in the box.

Answers

It would take her 15 seconds to reach 90 meters

pls help me find the answer to this i am working out on it but am confused also giving brainly no links pls.

Answers

Answer:

5/72

Step-by-step explanation:

I am pretty sure its right

Use the image below to find the missing side lengths.

Answers

Answer:

Step-by-step explanation:

What type of ballots are used when voting for president in the United States?

preference ballots

traditional ballots

alternative ballots

conventional ballots

Answers

Answer:

preference ballot

Step-by-step explanation:

A preference ballot is a ballot in which the voter ranks the choices in order of preference.

Answer:

Traditional ballots

Step-by-step explanation:

i took the test

Which is the recursive formula for this arithmetic sequence? an = an – 1 7 where a1 = –10 an = an – 1 17 where a1 = –10 an = 7an – 1 - 17 where a1 = –10 an = an – 1 – 7 where a1 = –10.

Answers

Answer: 1. 10

2. an = an - 1 + 7 where a1 = -10

Step-by-step explanation:

Answer: A. an = an – 1 + 7 where a1 = –10

Step-by-step explanation:

If 140 people were surveyed how many preferred crab? /////Show your work!

Answers

[tex]\qquad\qquad\huge \: \sf Answer[/tex]

Number of people who prefer crabs are :

[tex] \\qquad \tt \dashrightarrow \:{30\% \:\: of \:\: 140} [/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{30}{100} \times 140 [/tex]

[tex]\qquad \tt \dashrightarrow \:3 \times 14[/tex]

[tex]\qquad \tt \dashrightarrow \:42 \: \: people[/tex]

use the distribute propty to write an expression that is equlavent to 8

Answers

Answer:

8(a+4)=8a+32

Step-by-step explanation:

the function f(x) is defined by f(x)=3x. the inverse of f(x) is g(x) what is g(12)

Answers

Answer:

answer is 4

have a nice day

I don't know how to answer this, please help!

Answers

the simplified equation is 4x^2-3x+2

How much will Audrey earn if she earns $13.00 for each hour worked , works 43 hours, and has payroll deductions of $167.70?​

Answers

Answer:

391.3

Step-by-step explanation:

13x43=559

559-167.70=391.3

What is the value of z so that -3 and 3 are both solutions of x2 + z = 25?
0 41
016
09
o 22

Answers

016 is the correct answer

Answer:

I think it is B (16)

Step-by-step explanation:

6. A number solid with faces labeled 1 through 16 is rolled. What is the probability that the number 16 will appear facing up when the solid is rolled? Record the answer as a simplified fraction.​

Answers

Answer:

1/16 chance that it will land on 16 because there are 16 faces

Answer:

1/16.

Step-by-step explanation:

That will be 1 chance in 16.

The product of two rational numbers is 117/40. If one of them is - 13/5, find the other.​

Answers

Answer:

= - 9/8

Step-by-step explanation:

(-13/5) * x = 117/40    multiply both sides by  - 5/13

     x =  117 / 40  *  - 5/13  = - 9/8

$1500 at 8.5% for 6 months. What is the interest?

Answers

Answer:63.75

Step-by-step explanation: 1500x0.085x0.5=63.75

I need help now please!!!

Answers

[tex] \tan(60) = \frac{x}{ \sqrt{7} } [/tex]

[tex] \sqrt{3} = \frac{x}{ \sqrt{7} } [/tex]

[tex]x = \sqrt{21} [/tex]

[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area$~$}}[/tex] ~←(>▽<)ﾉ

Answer:

√21

Step-by-step explanation:

30, 60, 90 triangle

Across from 30 is a, across from 60 is a√3

So, √7√3 is √21

How much should be invested at 7% compounded daily for 15 years to make $200,000?

Answers

The amount of money that should be invested at 7% compounded daily is $199,421.68.

How to calculate compound interest.

Mathematically, compound interest is given by this formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Where:

A is the future value.P is the principal.R is the interest rate.T is the time measured in years.n is the number of times compounded.

Given the following data:

Future value = $200,000.

Interest rate = 7% = 0.07.

Time = 15 year.

Substituting the given parameters into the formula, we have;

[tex]200000=P(1+\frac{0.07}{365} )^{ 15}\\\\200000=P(1+0.00019)^{15}\\\\200000=P(1.00019)^{15}\\\\200000=1.0029P\\\\P=\frac{200000}{1.0029}[/tex]

P = $199,421.68.

Read more on interest here: brainly.com/question/24341207

Find the square. Then simplify your answer.

Answers

Answer:

4a²-8a+4

Step-by-step explanation:

[tex](2a-2)^{2} =(2a-2)(2a-2)[/tex]

[tex](2a-2)(2a-2) = 4a^{2} -4a-4a+4[/tex]

[tex]4a^{2} -4a-4a+4=4a^{2} -8a+4[/tex]

An auditorium has rows of seats with a seats in each row Kayla
knows there are at least 70 seats but fewer than 156 seats in the
auditorium. How many rows of seats can there be in the auditorium
Use Exercises 1-a to answer the question
1. Explain how you would find the least possible number of rowe
in the auditorium
2. How would you find all the possible numbers of rows, without
having to check if & is a factor of every number between
70 and 1507
3. Name all the possible numbers of rows in the auditorium,

Answers

Step-by-step explanation:

Note: there is a typo, 'a' should be '8'

The number of seats in each row is 8 and the total number of seats is between 70 and 150.

Let x be the number of rows, then we have the inequality:

70 ≤ 8x < 156

Divide all sides by 8 to get:

70/8 ≤ x < 156/89 ≤ x ≤ 19 (taking closest integers)

So the number of rows is between 9 and 19 both inclusive.

All possible number of rows

9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19

Answer:

1.  9 rows

2.  see below

3.  9, 10, 11, 12, 13, 14, 15, 16, 17, 18

Step-by-step explanation:

Please note that I believe there are typing errors in the question and that the given information should be:

8 seats in each rowAt least 70 seatsLess than 150 seats

Question 1

To determine the least possible number of rows in the auditorium, divide the least number of seats by the number of seats in a row:

⇒ 70 ÷ 8 = 8.75

As the answer is a decimal, round it up to the nearest whole number.

Therefore, the least possible number of rows in the auditorium is 9 rows.

Question 2

Find the greatest number of rows by dividing the greatest number of seats by the number of seats in a row:

⇒ 150 ÷ 8 = 18.75

As there should be fewer than 150 seats we cannot round the number up (as this would make there be more than 150 seats), so instead must round it down to 18.

Therefore, the greatest number of rows in the auditorium is 18 rows.

Question 3

As we have found the least number of rows in question 1 and the greatest number of rows in question 2, all we need to do is list all the numbers between (and including) these numbers.

Therefore, all the possible numbers of rows in the auditorium are:

9, 10, 11, 12, 13, 14, 15, 16, 17, 18

A. >
B. <
C. =
D. none of the above

Answers

Answer:

i think the answer is >

Step-by-step explanation:

Hoped this helped

pls tell me if im wrong

Answer:

b

Step-by-step explanation:

You have to turn the scientific notation into standard form and compare the 2 and it comes into 8200 and 460000 and 8200 is less than 460000.

Use the function f(x) = x2 − 2x 8 and the graph of g(x) to determine the difference between the maximum value of g(x) and the minimum value of f(x). a parabola that opens down and passes through 0 comma 3, 3 comma 12, and 5 comma 8 2 5 7 12

Answers

The difference between the maximum value of g(x) and the minimum value of f(x) is 5.

Given function is:

[tex]f(x)=x^{2} -2x+8[/tex]......(1)

What is the general form of a quadratic equation?

The general form of a quadratic equation is [tex]ax^{2} +bx+c=0[/tex] with [tex]a\neq 0[/tex].

As we know the minimum value of a quadratic function is [tex]\frac{4ac-b^{2} }{4a}[/tex] when a>0

For f(x) a>0 so minimum value of f(x) = [tex]\frac{4*1*8-(-2)^2}{4*1}[/tex]=7

From the graph, the maximum value of g(x) =12

So, the difference between the maximum value of g(x) and the minimum value of f(x) =12-7 =5

Hence, the difference between the maximum value of g(x) and the minimum value of f(x) is 5.

To get more about quadratic functions visit:

https://brainly.com/question/1214333

Someone please help!!!!

Answers

Answer:

=

Step-by-step explanation:

quadratic values always set to 0 due to the x-intercept which you find from the equation

Write a two-column proof on a space provided

Answers

Answer:

Step-by-step explanation:

Which proportional line has the smallest slope?

Question 14 options:

y= 8x


y=2x


y= .75x


y=.256x

Answers

Answer: y=.256x

Step-by-step explanation:

This line has the smallest coefficient for x.

ayuda porfa, quien entiende???

Answers

Answer:

c

Step-by-step explanation:

the right answer is c it good

if x varies directly with y and x=-19 when y=14 what is x when y=2

Answers

The variation from x to y is an illustration of a direct variation

The value of x when y = 2 is -19/7

How to determine the value of x?

The variation is a direct variation.

So, we have:

x = ky

Where k represents the constant of variation

Make k the subject

k = x/y

This gives

x1/y1 = x2/y2

So, we have:

-19/14 = x/2

Multiply both sides by 2

x = -19/14 * 2

Evaluate

x = -19/7

Hence, the value of x when y = 2 is -19/7

Read more about direct variation at:

https://brainly.com/question/6499629

Find the volume - PLSS HELPP AND HURRY PLS

Answers

Answer:

264

Step-by-step explanation:

(11 x 6)/2 x 8 = 264

B x h = V

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