write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. y=a(x-h)^2+k
vertex:(4,-1) point:(2,3)

Answers

Answer 1

Answer:

y =  ( x − 2 ) ^ 2 + 3

y =   x^2 − 4x + 7

Step-by-step explanation:

y = a ( x − h ) ^ 2 + k

where vertex is (h,k) = (4,-1)

h=4, k=-1

y = a ( x − 4 ) ^ 2 - 1

sub ( 2,3 )

3 = a (2 - 4)^2 - 1

a=1

y = 1 ( x − 2 ) ^ 2 + 3

y =  ( x^2 − 4x + 4 )  + 3

y =   x^2 − 4x + 7


Related Questions

A new car is purchased for 21100 dollars. The value of the car depreciates at
10.5% per year. What will the value of the car be, to the nearest cent, after 6
years?

Answers

The car will be worth $7807

Answer:

10,844.78

Step-by-step explanation:

A town has a population of 14000 and grows at 3% every year. What will be the population after 6 years, to the nearest whole number?

Answers

Answer: 1672

explanation:              add 3% from each previous year to get to the 6th year            

Answer:

16717

Step-by-step explanation:

Find the measures of the complement and the supplement of an angle with measure 50°.
A. complement, 130°; supplement, 40°
B. complement, 40°; supplement, 130°
C. complement, 140°; supplement, 230°
D. complement, 230°; supplement, 140°

Answers

the correct answer would be B

Wha is 65X12X13? Plzzzzzzz jlp

Answers

Answer:

65 x 12 x 13= 10,140

Given 10 shirts, 6 pants, and 4 pairs of shoes to choose from, how many different combinations containing 1 shirt, 1 pants, and 1 pair of shoes are there?​

Answers

9 shirts, 5 pants, 4 pairs.

4 Combinations since the lowest of them is 4.Answer:

Step-by-step explanation:

9 shirts, 5 pants, 4 pairs.

4 Combinations since the lowest of them is 4.

Solve for x...............

Answers

Answer:

x=17

Step-by-step explanation:

Hello There!

The shown figure is a 6 sided figure and if you didn't know the interior angles of a 6 sided figure add up to equal 720

so

720=110+8x-1+5x+36+116+7x+19+6x-2

now we solve for x

step 1 combine like terms

110-1+36+116+19-2=278

8x+5x+7x+6x=26x

now we have

720=278+26x

step 2 subtract 278 from each side

720-278=442

we now have

442=26x

step 3 divide each side by 26

442/26=17

we're left with

x=17

A local anime fan club surveyed its members regarding their viewing habits last weekend, and the following information was obtained: 35 members had watched an episode of Naruto, 48 had watched an episode of Death Note, 24 had watched both an episode of Naruto and an episode of Death Note, and 12 had watched neither Naruto nor Death Note. (Round your answers to three decimal places.)
(a) What percent of the club members had watched Naruto or Death Note?
(b) What percent of the club members had watched only Naruto?
(c) What percent of the club members had watched only Death Note?

Answers

Answer:

a) 83.099% of the club members had watched Naruto or Death Note.

b) 15.493% of the club members had watched only Naruto

c) 33.803% of the club members had watched only Death Note.

Step-by-step explanation:

First we find the number of students which each habit, treating the habits as Venn sets.

I am going to say that:

Set A: Watched an episode of Naruto.

Set B: Watched an episode of Death Note.

24 had watched both an episode of Naruto and an episode of Death Note:

This means that [tex](A \cap B) = 24[/tex]

48 had watched an episode of Death Note

This means that [tex]B = 48[/tex].

We have that:

[tex]B = (B-A) + (A \cap B)[/tex]

In which B - A are those who watched only Death Note. So

[tex]48 = (B-A) + 24[/tex]

[tex](B-A) = 24[/tex]

35 members had watched an episode of Naruto

This means that [tex]A = 35[/tex].

[tex]A = (A-B) + (A \cap B)[/tex]

[tex]35 = (A-B) + 24[/tex]

[tex](A-B) = 11[/tex]

At least one:

This is

[tex](A \cup B) = A + B - (A \cap B)[/tex]

So

[tex](A \cup B) = 35 + 48 - 24[/tex]

[tex](A \cup B) = 59[/tex]

Total number of students:

59 at least one, 12 none, so 71 total.

(a) What percent of the club members had watched Naruto or Death Note?

At least one, so 59 out of 71

59*100/71 = 83.099

83.099% of the club members had watched Naruto or Death Note.

(b) What percent of the club members had watched only Naruto?

11 out of 71. So

11*100/71 = 15.493

15.493% of the club members had watched only Naruto.

(c) What percent of the club members had watched only Death Note?

24 out of 71. So

24*100/71 = 33.803

33.803% of the club members had watched only Death Note.

Answer:

i think it is (b) What percent of the club members had watched only Naruto?

Step-by-step explanation:

5. The value of an investement increased by 10%. The original amount of the
investment was $40.00. What is the current value of the investment?
Show your work
Please help me on this I need help

Answers

Answer:I Dont know about this one soryy

Step-by-step explanation:

What is the Voter Registration Act and how does it affect Gerrymandering?

Answers

Answer:

United States federal law signed into law by President Bill Clinton on May 20, 1993, and which came into effect on January 1, 1995.

Step-by-step explanation:

Hope It Helps :)

3\5=6x=?\? i need help ​

Answers

X = 1/10 decimal form X=0.1 . I hope this helps.

Answer:

1/10

Step-by-step explanation:

3/5 = 6x = ?/?

?/? = 1/10

6x/6 = (3/5)/ 6 = 1/10

Is x + 1/2 = x - 1/2 true or false

Answers

Answer:

I believe it is false

A bookstore had 60 copies of a magazine. Yesterday, it sold 1/4 of them. Today, it sold 2/3 of what remained. How many copies does the bookstore have left?

Answers

The bookstore has 4 copies left

Answer:

15

Step-by-step explanation:

60×1÷4=15(1/4)

60-15=45

45×2÷3=30(2/3)

45-30=15



7) Find the value of x if the surface are is 216ft

Answers

Answer:

6 ft (not squared)

Step-by-step explanation:

SA = 6(6)(2) + 4(6)(x)

216 = 72 + 24x

144 = 24x

x = 6

math HELPPPO MEWEEE PLZZZZ

Answers

Answer:

63.5 is the correct answer

Every morning, Jim goes for a morning walk. His normal walking speed is 3 1/2 km per hour, and he walks
a total distance of 10 km every day. How much time does he take to cover one km?
minutes

Answers

Answer:

29 1/31 minutes

Use long division to find the value of 1,875 - 15​

Answers

Answer:

125

Step-by-step explanation:

Assuming 1875-15 means 1875/15

the perimeter of square is 48cm.its area is​

Answers

Answer:

144

Step-by-step explanation:

48cm divided by 4 sides equals to 12cm.

Area equals to 12cm times 12cm which is equal to 144 cm square

Supplementary angles, please help! 1,2, and 3

Answers

Answer:

1) 180 - 17 = 163

2) 180 - 124 = 56

3) 180 - 86 = 94

Someone please help me on this problem.. :(

Answers

Answer:

I believe the constant rate is 13

Step-by-step explanation:

I believe this because for each time you divided y/x you will get 13. But in the last one (146/12) it will be 12.16...  So it will show a constant rate if you round the answer of (146/12) but if you aren't supposed to round then there wont be a constant.

Hope  this helps! :)

7/10 -3/5 plz help me

Answers

it’s 1/10 I am pretty sure it’s that!!

(will mark brainliest!!)

Answers

Answer:

the one with Heidy is the 3 one

the 6th one is E

Step-by-step explanation:

Pls help it's due tonight!!!
:((((((

Answers

i think AB is 3!!

i hope i’m right good luck ,:D

Answer:

∆EDA~∆ECB (AAA)

3÷ (15+3) = AB ÷ (12+AB)

AB = 2.4

What is the area of the trapezoid?
5 cm
14 cm
5 cm
10 cm

Answers

Answer:

A = 28 cm

Step-by-step explanation:

equation:

A = [tex]\frac{a + b}{2} h[/tex]

A = [tex]\frac{4 + 10}{2} 4[/tex]

solve:

A = [tex]\frac{14}{2}4[/tex]

A = 7 x 4

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Construct a circle through points X, Y and Z.

Answers

pretty sure you just draw a circle
just draw a circle running through those points i think

A map is drawn using a scale of 40 kilometers to 1 centimeter. The distance between two cities is 300 kilometers. How far apart are the two cities on the map? ​

Answers

Answer:

7.5 cm

Step-by-step explanation:

40:1

× by 7.5 to get 300 km so do the same to the other side (1) and you get 7.5 cm

sorry if its incorrect

work out the size of angle x 101 degrees and 38 degrees​

Answers

Answer:

the inside angle beside 101 is 180-101 = 79 degrees.

the angle beside x = 180-(79+38).

that is 63 degrees.

therefore the angle x = 180-63 that's

117 degrees

jen wants to plant trees in her garden that require 10 feet of soace per tree . how many trees can she plant in her garden

Answers

Answer:

Step-by-step explanation:

1+1=22 SO 10 FEET OF THAT WILL BE UP YOU A

SS

Answer:

Step-by-step explanation:

1+1=22 so 10 feet of that will be up you a

Please I need help it’s an emergency

Answers

Answer:

θ = 35.39°

Step-by-step explanation:

Given that,

Perpendicular, P = 27

Base, B = 38

We need to find the value of angle. Let the angle be θ. So,

[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})\\\\\theta=\tan^{-1}(\dfrac{27}{38})\\\\\theta=35.39^{\circ}[/tex]

So, the required angle is 35.39°.

Which statement correctly classifies this group of animals?

Answers

Answer:

The answer is A, All of the animals are vertebrates, and all are adapted to hot climate.

Step-by-step explanation:

Because i know for sure the owl has a backbone, and so does a puma and all live in hope weather so it has to be a

The reciprocal of 7/2 is 2/7. What does that mean?

Answers

Answer:2/7

Step-by-step explanation: A reciprocal is the "mirror image" of a fraction so the reciprocal is the fraction upside down.

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