Write an equation of the parabola in vertex form.

Write An Equation Of The Parabola In Vertex Form.

Answers

Answer 1

Answer:

[tex]y= -\frac19(x-3)^2+1[/tex]

Step-by-step explanation:

the x-3 is to shift a normal parabola 3 to the right

the +1 is to lift the top up by one

the -1/9 is to compress and swapt it around

Answer 2

Answer:

y =-  [tex]\frac{1}{9}[/tex](x - 3)² + 1

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (3, 1) , thus

y = a(x - 3)² + 1

To find a substitute another point on the graph into the equation

Substitute (1, [tex]\frac{5}{9}[/tex] ) into the equation

[tex]\frac{5}{9}[/tex] = a(1 - 3)² + 1 ( subtract 1 from both sides )

- [tex]\frac{4}{9}[/tex] = 4a ( divide both sides by 4 )

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

y = - [tex]\frac{1}{9}[/tex] (x - 3)² + 1 ← equation of parabola in vertex form


Related Questions

What's 29/9 as a mixed number

Answers

Answer:

3 2/9

Step-by-step explanation:

9 can go into 29 3 times with 2 leftover.

Answer: 3.2 or 3.22

Step-by-step explanation: To write an improper fraction a mixed number you start by seeing how many times the denominator (bottom number) goes in to the numerator (top number). Since the denominator is 9 and the numerator is 29, 9 goes into 29 3 times.

Maria needs to measure out   liter of broth for a recipe. If she only has a container that holds   liter, how many containers will she need to fill?

Answers

Answer:

20 containers

Step-by-step explanation:

Let us restructure the question as:

Maria needs to measure out   10  liter of broth for a recipe. If she only has a container that holds  0.5   liter, how many containers will she need to fill?

Total litre of broth measured = 10litres

If a container holds 0.5litre, then the number of container she will need will be calculated as thus:

1 container = 0.5 liter of broth

x container = 10 liters of broth

Cross multiply

0.5 * x = 1 * 10

0.5x = 10

Divide both sides by 0.5

0.5x/0.5 = 10/0.5

x = 20

Therefore she will need to fill 20 containers.

Note that the amount of liters used in question were assumed. Same calculations can be followed for any other values given.


Which fraction is not equivalent to 5/6? 15/18 30/36 20/30 10/12
FAST plisss

Answers

20/30 isn’t equal to 5/6

Answer: 20/30

Step-by-step explanation:

20/30 simplifies to 2/3 which is not equal to 5/6

All the other answers simplify to 5/6

a bank has 120 customers. Each month the number of customers increases 20 members. Which equation represent the relationship between the number of months the bank has opened,x, and the total customers,y​

Answers

120 + 20x = y


explanation:
while the bank started off with 120 customers so that’s how we’re going to start it off
120 +
then later there is going to be around 20 new members each month which the x will help with that because that will be the x amount of people which you can double, triple, quadruple, that amount etc
120 + 20x
and the y will equal the whatever amount you got
120 + 20x = y

Answer:

120÷20=6 months

Step-by-step explanation:

120÷20=6

Y/20 =X

The original price of a $250 coat increased 7% last year. The coat is now on sale for one-half off of the new price. What is the sale price? Please help y’all

Answers

Answer:$133.75

Step-by-step explanation: So you would convert the 7% into a decimal of .07. You would multiply that by the original price of $250 and you would get $17.5 which is how much it increased. That would equal $267.5 And you would just divide that in half for your final answer of $133.75. Super easy if you know what to do. :)


find the missing value

Answers

Answer:

y = 20

Step-by-step explanation:

Angles 2 and 4 are vertical angles, so their measures are equal.

m<2 = m<4

62 = 3y + 2

60 = 3y

y = 20

Y=20!

This is because since 2 and 4 are vertical angles they are equal!

62=3y+2

Next subtract 2 from each side

60=3y

And then divide 3 for your answer!


y=20

Can someone help me please

Answers

Step-by-step explanation:

√2 × √18 expression results in a rational number

= √2 × √18

= √36

= 6

Therefore,

Option A is correct ✔.

Answer:

A. √2*√18

Step-by-step explanation:

Ms. Wells is going to order 4 large cheese pizzas for a class pizza party at the end of the school year. She expects she'll spend at least $40 on the pizzas.

a
4x ≥ 40
b
4x 40
d
4x ≤ 40

Answers

Answer:

b im preety shore

Step-by-step explanation:

Answer:

a) 4x is bigger than or equal to 40

Hope this helps and have a great day :)

And please mark this brainliest if you can :)

need help asap pleaseee!

Answers

Answer:

Step-by-step explanation:

If two expressions are equivalent, they are the same. If Kayla distributed the three, she would get 3x+6 like Gabriel.

Determine if −3, −23, −43, −63, ... is an arithmetic sequence. If it is, find the common difference.

Answers

Answer:

It is an arithmetic sequence. Common difference: -20

Step-by-step explanation:

First we can find out if it is an arithmetic sequence by seeing how you get from -3 to -23. Then we see to get from -3 to -23, we need to subtract -20. It's the same with -43, so the common difference is -20. And since arithmetic sequences are the only ones common differences, then this is an arithmetic sequence. I hope this helps and I hope it's not wrong, but I do not think it is.

Colin was using the back of his book to check his homework answers. The answer that he had on his paper was −1/3 − (1/5 + 5/8). The correct answer, located in the back of the book, was −1/3 −1/5 + 5/8. Was Colin correct? Justify your response.

Answers

Answer: No. Colin was incorrect.

Step-by-step explanation:

From the question, we are informed that the answer that Colin had on his paper was −1/3 − (1/5 + 5/8) while the correct answer, located in the back of the book, was −1/3 −1/5 + 5/8.

Colin was wrong because he didn't take into effect that the minus has affected the figures in the bracket. Therefore, 1/3 − (1/5 + 5/8) simply means 1/3 - 1/5 - 5/8.

He didn't realise that (-) × (-) = + which has resulted in the change of the sign beside 5/8 from positive to negative.

A farmer has two square fields of corn. His larger field has an area of 144 square yards. His smaller field has an area of 64 square yards. How muchh shorter is the length of the smaller field than the length of the larger field?

Answers

Answer:

4 yards

Step-by-step explanation:

X) 2.3.2
Question
What is the length of the hypotenuse of the triangle when x = 10?
7x +41
SX
A
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)
Enter your answer in the answer box and then click Check Answer.
All parts showing

Answers

X= 5 that’s the answer I think I try it’s been a minute

please helpppppppppp

Answers

Answer:

15 is the answer

Step-by-step explanation:

It’s 15 because 15 times 2 is 30, 15 time 9 is 135, etc.

Name the constants in the expression below.

-8 - 6y + 7 - 8c

Answers

Answer:

-87

I hope this helps!

Answer:=

8

c

6

y

1

Step-by-step explanation:= -8c -6y -1

4a x За slove this please​

Answers

Answer:2(2)a(2) x(2)

Step-by-step explanation:

Answer: 4ax+12ay+36az=4a*(x+3a++9z

Step-by-step explanation:

What is the sum of 275 and 325 divided by 25

Answers

(275 + 325) / 25

= 600/25

=24

Answer:

[tex]24[/tex]

Step-by-step explanation:

[tex]275 + 325 \\ =60 0 \div 25 \\ = 24[/tex]

Please mark me as the brainliest

math math math aaaa help​

Answers

Answer:

mLM+mMN=mLN

Step-by-step explanation:

Answer:

mLM+mMN=mLN is correct

Step-by-step explanation:

Heidi is saving for a new bike. She has already saved $57. If Heidi earns $9 per hour babysitting, how many hours does she need to babysit to afford the bike which costs $129? Write and solve a linear equation.

Answers

Step-by-step explanation:

she would need to work for 8 hours ti offird the bike

-8(x+12)-8x=3(x-11)+2x

Answers

Answer:

so the answer is x = -3

Step-by-step explanation:

have a nice day!!

Answer:

x = 5.72 repeating

Step-by-step explanation:

first multiply the numbers outside of the parenthesis.

-8x - 96 -8x = 3x -33 + 2x

second we combine like terms.

-16x - 96 = 5x - 33

third we combine the x terms over the equal line.

- 96 = -11x - 33

fourth we add 33 to - 96.

- 63 = -11x

lastly we divide by 11

= 63 divided by 11 = 5. 72 repeating

A shop assistant is paid $18 per hour 15% of all that he sells. If he sells items worth $120 during his 40-hour week, how much will he be paid at the end of the week?

Answers

Answer:

A lot of money, fam.

34x2256+35x2 i need help like bad

Answers

Answer: 76774

Step-by-step explanation: (34 x 2256) + (35 x 2) = 76774.

Answer:

76,774

Step-by-step explanation:

Break the question down, and you will get the same answer :)

Store and he sells jeans for 7/8 of the price at Store B. Store a sells jeans for $35. Write and solve an equation to find the cost of the jeans at store B

Answers

Answer:

$40

Step-by-step explanation:

From the question, Store A sells jeans for 7/8 of the price at store B

Store A= 7/8 of the price at store B

"Of" here means multiplication in mathematics.

Store A= 7/8 × store B price

But Store A sells jeans for $35

Then $35= 7/8 × store B price

To find store B price, just cross multiply, we have

StoreB price= (8×$35)/7

StoreB price=$40

Therefore, the selling price of jeans at store B is $40

Combine any like terms in the expression. If there are no like terms, rewrite the expression.
10wx2+y2z2

Answers

Answer:

Step-by-step explanation:

There is no way that this binomial can be reduced any further. The right term is a 10 a w and an x^2.

The left term is a y^2 and a z^2

There is nothing in common. Just rewrite the entire expression as your answer.

Aaron is growing two tomato plants. At the last measurement, the first plant was 6.53 inches tall and the second was 2.7 inches tall. How much taller was the larger plant?

Answers

Answer:

3.83 inches

Step-by-step explanation:

Aaron is growing two tomato plants

The first plan was 6.53 inches tall

The second plant was 2.7 inches tall

Therefore the height of the tall plant against the smaller one can be calculated as follows

= 6.53-2.7

= 3.83

Hence the larger plant is 3.83 inches taller

I need help. Someone please help me

Answers

Answer:

A- congruent (the angles are the same)

B- supplementary (they add together to 180 degrees)

C- congruent (the angles have the same measure)

D- congruent (the angles have the same measure)

E- supplementary (they add together to 180 degrees)

F- congruent (the angles are the same measurement)

G- supplementary (the angles add up to 180 degrees)

H- congruent (the angle measures are the same)

Step-by-step explanation:

Answer:

a:congruent

b:supplementary

c:congruent

d:congruent

e:supplementary

f:congruent

g:supplementaruy

h:congruent

Step-by-step explanation:

Morgan won 7 blue ribbons and 4 red ribbons at her horse shows. What is the ratio of red ribbons to blue ribbons she won?

a. 4/11
b. 4/7
c. 7/11
d. 7/4

Answers

B-4/7 ribbons because red goes over blue and there’s 4 red and 7 blue

Which of the following numbers is 90 divisible by

2,3,4,5,6,9,10?

Answers

Answer: 2, 3, 5, 6, 9, 10,

Step-by-step explanation:

2,3,5,9,10 is correct

Verify the identity. To verify the​ identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step.

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file

[tex]\to \frac{\tan x}{\sec x} \\\\\therefore \ \ \ \tan x= \frac{ \sin x}{ \cos x} \ \ \ \ and \ \ \ \ sec x = \frac{1 }{ \cos x}\\\\\to \frac{\frac{ \sin x}{ \cos x}}{ \frac{1 }{ \cos x}} \\\\\to \frac{ \sin x}{ \cos x} \times \frac{ \cos x}{1 }\\\\\to \sin x[/tex]

The numerator transformation value is = [tex]\sin x[/tex]

The denominator transformation value is= 1

After transformation, we get  [tex]\frac{tan(x)}{sec(x)}=sin(x)[/tex]

Trigonometric identity:

We have to verify the identity  [tex]\frac{tan(x)}{sec(x)}[/tex]

As we know that,

    [tex]tan(x)=\frac{sin(x)}{cos(x)}\\\\sec(x)=\frac{1}{cos(x)}[/tex]

So that,

    [tex]\frac{tan(x)}{sec(x)}=\frac{sin(x)}{cos(x)} *cos(x)\\\\\frac{tan(x)}{sec(x)}=\frac{sin(x)}{1}[/tex]

The numerator transform expression is [tex]sin(x)[/tex].

The denominator transform expression is 1.

Learn more about the trigonometric identity here:

https://brainly.com/question/7331447

Complete question: trigonometric expression is  [tex]\frac{tan(x)}{sec(x)}[/tex]

Which expression has the same value as -18+(-9)

O -18 divided by 2
O -12 divided by (-3)
O -10 divided by 5
O -8 divided by (-4)

Answers

Answer:O -18 divided by 2

Step-by-step explanation:

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