Mathematics College

What is the vertex of the parabola of the parabola that is formed from the function?

What Is The Vertex Of The Parabola Of The Parabola That Is Formed From The Function?

Answers

Answer 1

Answer:

vertex = (2, - 1 )

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 ) , then

The x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = x² - 4x + 3 ← is in standard form

with a = 1, b = - 4 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{2}[/tex] = 2

Substitute x = 2 into f(x) for corresponding y- coordinate

f(2) = 2² - 4(2) + 3 = 4 - 8 + 3 = - 1

vertex = (2, - 1 )

Related Questions

The fraction models below represent two fractions of the same whole. How much of the Fraction 3 over 8 is in the Fraction 1 over 4 ? Two rectangles of the same size are drawn side by side touching each other. The first rectangle is divided into 8 portions of equal size. Three of these are shaded. The shaded portion alone is labeled as 3 over 8. The second rectangle is divided into 4 portions of equal size. One portion is shaded. The shaded portion alone is labeled 1 over 4.

Answers

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

You can see from the diagram that the shaded 1/4 of the second rectangle has the same dimensions as 2 of the 3 shaded parts of the first rectangle.

  2/3 of 3/8 is in 1/4

Find the compound interest of N5000 for 2 years at 5% per annum
​

Answers

SOLUTION

For finding the compound Interest first we need to get the amount and then subtract the value of principal from amount

Calculation Begins

Principal = 5000, Rate of Interest = 5%, Time = 2 yrs

[tex] \looparrowright \sf{A = P(1 + \frac{r}{100} )^{n} } \\ \\ \looparrowright \frak{ {\sf A} = 5000(1 + \frac{5}{100} )^{2} } \\ \\ \looparrowright \frak{ {\sf A} = 5000(1 + \frac{1}{20} )^{2} } \\ \\ \looparrowright \frak{ {\sf A} = 5000( \frac{21}{20})^{2} } \\ \\ \looparrowright \frak{ {\sf A} =5000 \times \frac{441}{400}} \\ \\ \looparrowright \frak{ {\sf A} = 12.5 \times 441} \\ \\\looparrowright \frak{ {\sf A} = 5152.5} [/tex]

Hence the amount is 5152.5

Compound Interest = Amount - Principal

= 5152.5 - 5000 = 152.5

152.5 is the Compound Interest

How many feet? Thank you for your time.

Answers

Answer:

1 3/8 Feet

Step-by-step explanation:

Take 2 1/2 and subtract 1 1/8 which gives u 1 3/8

if u don't understand fractions u can always turn ur fractions into decimals that's what I did :)

Please Help ME!!!
1. If ST=17 and RT=47​, find RS. Use the number line below.
<-R---------------------------------------------------------------------------S---------------------------------T->
2.On a number​ line, suppose point E has a coordinate of 3 ​, and EG=6. What are the possible coordinates of point​ G?
3.Find the length of the segment _AB_.
<-12-------'-11'-'-10'-9'-9'-'-8'-'-7'-'-6'-'-5'-'-4'-'-3'-'-2'-'-1'-0-'1'-'2'-'3'-'4'-'5'-'6'-'7'-'8'-'9'-'10'-'11'-'12'
A is -2 and b is 4 the length is?
Please help me!

Answers

Answer:

#1

Segment addition:

RS + ST = RTRS + 17 = 47RS = 47 - 17RS = 30 units#2

There are two possibilities:

G is to the left of E. Then G = 3 - 6 = -3G is to the right of E. Then G = 3 + 6 = 9

So possible coordinates of G are -3 or 9

#3

The length of the segment is the absolute value of the difference of the end point coordinates.

AB = 4 - (-2) = 4 + 2 = 6 units

Step-by-step explanation:

1

RS = RT - ST

RS = 47 - 17

RS = 30 cm

2.

Coordinate = 3 ± 6

If 3 + 6 = 9

If 3 - 6 = -3

3

AB = 4 - (-2)

AB = 6

pls answer correctly!


n - 6m = 8

solve for n​

Answers

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]n = 8 + 6m[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'm'...}}\\\\n - 6m = 8\\------------\\\rightarrow n - 6m = 8 \\\\\rightarrow n - 6m + 6m = 8 + 6m\\\\\rightarrow \boxed{n = 8 + 6m}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The angle turns through 1/12th of the circle what is the measure of the angle

Answers

Answer:

30°

Step-by-step explanation:

A full circle has 360°.

1/12 of a circle has 1/12 of 360°.

1/12 * 360° = 360°/12 = 30°

Answer: 30°

Referring to the figure, find m∠1

Answers

∡1 = 180° - 30°

∡1 = 150°

Evaluate Expression
-19 + 3(-13 + 4*3)

Answers

Answer:

-22

Step-by-step explanation:

Solve the expression using PEMDAS.

-19 + 3(-13 + 4 * 3)

~Multiply

-19 + 3(-13 + 12)

~Add

-19 + 3(-1)

~Multiply

-19 - 3

~Subtract

-22

Best of Luck!

Identify the domain of the function

Answers

Answer:

(-2,4)

Step-by-step explanation:

It will be the correct answer.......

Evaluate sin(-120) + cos(-120)

Answers

Answer:

[tex] \sin( - 120) + \cos( - 120) \\ \\ = - \frac{ \sqrt{3} }{2} + ( - 0.5) \\ \\ = - \frac{ \sqrt{3} }{2} - \frac{1}{2} \\ \\ = { \boxed{ - ( \frac{1 + \sqrt{3} }{2}) }}[/tex]

Answer: -1.366

can someone plz help me with this question

Answers

Answer:

it is  she thought that the concentration of allicin might be to low.... decrease the number of new tumors

why? because its asking to selct the part where its revising her hypotheses and thats exaclty what she did she analyzed what happened.

Hi land is not 2:35647

Your teacher has asked you to explain the difference between quantitative and qualitative observations. Which statement is correct?



Question 8 options:

Quantitative observations use numbers, qualitative uses the senses.


Quantitative observations use the senses, qualitative uses numbers.


Quantitative observations use measurement, qualitative uses numbers.


Quantitative observations use colors, qualitative uses the senses.

Answers

Answer:

Step-by-step explanation:

B is the answer and if the next has something to do with connie then your answer is C

Is 15/0 just 15?


Thank you!

Answers

Answer: 15/0 = 15/0 = 15/0 = 15/0 = 0+15

Step-by-step explanation: 15/0 = 15/0 = 15/0 = 15/0 = 0+15

Which expression is equivalent to the expression

Answers

Answer:

-4 is the answer

Step-by-step explanation:

PLEASE HELP


Bethany and Heather ran a mile in gym
class. Bethany finished in 8 minutes and
Heather finished in 10 minutes. Find the
difference in their times.

Answers

2 minutes is the answer difference

Ming is planning a trip to Western Samoa. The exchange rate for money is 6 Tala for $2. How many Tala would she get if she exchanged $30?

Answers

Answer:

90.

Step-by-step explanation:

6 Tala = 2$ so 3 Tala = 1$

So , 30$ = 30 x 3 = 90 Tala.

Answer:

$30=90 tala

Step-by-step explanation:

$2=6 tala

$1=3 tala

$30=3*30

$30=90 tala

What is the distance between -4.2 and 9.1

Answers

Answer: 13.3

Step-by-step explanation:

9.1-(-4.2)

Going to sleep goodbye

Answers

ayo good night and hope to have a good day tomorrow’s

Evaluate the expression below.

6−(65÷5+8−8×4)+1

Answers

Answer:

-4

Step-by-step explanation:

Solve inside the parenthesis first and then solve outside

Answer:

18

Step-by-step explanation:

6−(65÷5+8−8×4)+1

6−(13+8−8×4)+1

6−(13+8−32)+1

6−(21−32)+1

6-(-11) +1

18

11/12- 2/9 i need help due in 5 mins

Answers

Answer:

hope this helps and have a great dayyyyyy

Answer:

yes what we should by you

Step-by-step explanation:

rhsoba

In my wallet I have six notes in total, four are $50 notes and the rest are $20 notes. Write the ratio of $50 notes to $20 notes.


Simplify the above ratio.

Answers

50:20 I dunno how to solve this, I think it would be like 2:1??

If x + 4:8 = 30:4 find the value of x

Answers

Answer:

x = 7

Step-by-step explanation:

[tex]x + 4 \div 8 = 30 \div 4[/tex]

[tex]x + 0.5 = 7.5[/tex]

[tex]x = 7.5 - 0.5[/tex]

[tex]x = 7[/tex]

Answer:

56

Step-by-step explanation:

x+4=30*2

x=60-4

x=56

7th grade scale factors coloring sheet anwser key

Answers

Answer:

7th Grade Math Scale Factor and Scale Drawings Review Packet - print and digital

Which is not a rational number?

Answers

Rational numbers are numbers that can be written as a fraction of two integers (as long as the denominator isn’t 0).

5 = 5/1, so it’s rational
1/2 and 1/3 are fractions, so they’re rational.

As decimals, rational numbers either stop or repeat.
1/2 = 0.5 (That stops.)
1/3 = 0.3333333… (That’s repeating.)

Of the two possible answers left, does one of them repeat? If so, it must be the other answer.

Translate this sentence into an equation.
42 is the product of Mai's height and 3.
Use the variable m to represent Mai's height.

Answers

Answer:

3*m=42

Step-by-step explanation:

equation: 3m=42

Answer:

42=m3

Step-by-step explanation:

Product means like, multiplication of the numbers or values

Simplify 2.5 (16/2-2.3) - 2

Answers

Answer:

it's just ( -3.3 )but I need to put 20 + words and stuff so read this if you would like

27 + 36

A.
9(3 + 4)
B.
(9 × 3)(9 × 4)
C.
(9 + 3)(9 + 4)
D.
9 + (3 × 4)

Answers

Answer:

It's A

Step-by-step explanation:

Using process of elimination B is wrong because even though you get 37 and 36 it multiplies them because of a lack of addition symbol. C is also wrong because it would turn out to be 12 x 13 which is larger than C so that's not it. in D 3x4 is 12 but it's added to 9 not multiplied so that's wrong which leaves you with A which is 9(3 + 4) = 63 and 27 + 36 = 63

(3-7-10)[5-(7-11)×(-7)] how to solbe this??????!!!!!!!!! help plss​

Answers

(3 - 7 - 10) · [5 - (7 - 11) · (-7)] =

= (-4 - 10) · [5 - (-4) · (-7)] =

= -14 · (5 - 28) = -14 · (-23) =

= 322

How to show a percentage that’s increased from each year to the next?

Answers

Answer:

Each year has an increase of 10 %

Step-by-step explanation:

To calculate percentage, formula =

Increase in price/original price*100

Please mark as brainliest


Max and Molly plan to put down all-weather carpeting on their porch. The length of the porch is 9 ft longer than twice the width, and the perimeter is 138 ft.

Answers

Answer:

Step-by-step explanation:

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