rewrite the function f(x)=3(x-1)^2+9 in the form f(x)=ax^2+bx+c

Answers

Answer 1

Answer:

f(x) = 3x² - 6x + 12

General Formulas and Concepts:

Order of Operations: BPEMDAS Expand by FOIL (First Outside Inside Last) Standard Form: f(x) = ax² + bx + c Vertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

Step 1: Define function

Vertex Form: f(x) = 3(x - 1)² + 9

Step 2: Find Standard Form

Expand by FOILing:                         f(x) = 3(x² - 2x + 1) + 9Distribute 3:                                      f(x) = 3x² - 6x + 3 + 9Combine like terms (constants):     f(x) = 3x² - 6x + 12

Related Questions

HELPPPPOP PLEASEEE ILL GIVE BRAINLIEST!!!!


question 4. Solve each compound inequality.

Answers

Answer:

-7/2≤x<3

Hope this helps!

Answer:

Step-by-step explanation:

bvcvcvcbvcbvcbvbvcv

Martin spent $68 on a new drone that he had been saving for. Now, he has $41 left in his savings jar. Click the equation that could be used to find the total of his savings, s, before he bought the drone.

Answers

Answer:

Step-by-step explanation:

109

The answer is 109 (Brainliest Answer Will be appreciated:D)

Suppose Z3 = 24 - 22. Which quadrant contains z3?
O quadrant 1
O quadrant 11
O quadrant III
quadrant IV

Answers

I think it’s quadrant IV

Answer:

D

Step-by-step explanation:

i think

The distance from Joe's house to the creek is 5.5 km. The distance from Jane's house to the creek is twice as far. Both Joe and Jane are leaving their houses to go to the creek. How much further, in meters, does Jane have to walk than Joe?

Answers

Answer:

5500 meters

Step-by-step explanation:

Convert 5.5 km to meters= 5500meters

Find distance of Jane's house to the creek= 11000 meters

Subtract both distances= 11000-5500= 5500 meters

What is the slope of the line that contains these points?

Answers

Answer:

3

Step-by-step explanation:

From the table, we know at least 2 ordered pairs. We can use the slope formula on any 2 ordered pairs on the table to get 3.

E
Find the equation of the line that is perpendicular to the given line and passes through the given point.
Enter the right side of the equation as a single fraction.
y =
5x - 3
-;(1,1)
4
The equation is y =

Answers

Answer:

y=(5x-3)/4

y=(5/4)x-3/4

Perpendicular slops come from reversing the numerator and denominator and making it negative so the new slope would be:

m=-4/5

Then you use point slope formula and plug in your values:

y-y1=m(x-x1)

y-1=-4/5(x-1)

y=(-4/5)x+9/5

Hope this helps you, have a night day/night.

Answer:

I don't know

Step-by-step explanation:

You make me brainest I have will answer

I need to know what a slope is and how to determine it.​

Answers

Key:

m = slope

(x₁, y₁) coordinates of the first, lower point.

(x₂, y₂) coordinates of the second, higher point.

Answer:

In simple terms, slope is how steep a line is.

You can determine slope by:

[tex]\frac{rise}{run}[/tex]

Here is the full formula for slope:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_1}[/tex]

I've created a little explanatory example below. Please let me now if you have any further questions. I am more than happy to assist you!

~ [tex]InLoveWithPugs[/tex]

Moderator

Math Enthusiast

Is the amount of time it takes to download a file from the internet discrete or continuous?

Answers

Answer:

The amount of time that is spent downloading internet files is a continuous measurement and is not discrete, because it will always follow the same length of time that is estimated to download, but due to changes of internet WiFi connectivity and other background programs this can all affect the speed of the computer programs responsible for downloading the files.

Answer/Step-by-step explanation:

The amount of time that is spent downloading internet files is a continuous measurement and is not discrete, because it will always follow the same length of time that is estimated to download, but due to changes of internet WiFi connectivity and other background programs this can all affect the speed of the computer programs responsible for downloading the files.

please help! refer to the picture!

Answers

Step-by-step explanation:

ans:

option

c

mark me as brainliest

D
First solve the second equation. Replace g (2) into that equation which just means replace 2 in the place of x. You should get f (3). Then, replace f (3) in the first equation which just means replace 3 in the x's.
(3 - 2)^3 (3^2 - 4) / 16
(1) (5) / 16
= 5/16

What are the zeros for the function

f(x) = (x + 7)(x + 5)​

Answers

Answer:

(-7,0) and (-5,0)

Step-by-step explanation

1. 0= (x + 7)

  -7        -7

    -7=x

(-7,0)

2. 0= (x + 5)

    -5         -5

      -5=x

(-5,0)

PLEASE HELP!!

The graph shows the cost C in dollars of W points of blueberries. Select ALL the true statements.

A. 1 pound of blueberries cost $2.75

B. 2.75 pounds of blueberries cost $1

C. 5 pounds of blueberries cost $15.30

D. 12 pounds of blueberries cost $33

E. The point (3,9) is on the graph of the proportional relationship

Answers

Answer:

A and D

Step-by-step explanation:

Use the given conditions to find the exact value of the expression.

Answers

9514 1404 393

Answer:

  (7 -24√3)/50 = 0.14 -0.48√3

Step-by-step explanation:

Sine is negative and cosine is positive in the 4th quadrant, so ...

  sin(α) = -√(1 -cos(α)²) = -√(1 -576/625) = -7/25

Then the cosine of the angle sum is ...

  cos(α +5π/6) = cos(α)cos(5π/6) -sin(α)sin(5π/6)

  = (24/25)(-√3/2) -(-7/25)(1/2)

  = (7 -24√3)/50 = 0.14 -0.48√3

Wich steps are needed to solve this equation b+6=21

Answers

Answer:

b=15

Step-by-step explanation:

Please help me out quickkkkkkkkkkkkkk

Answers

Answer:

5 4/7 feet

Step-by-step explanation:

I think it’s the fourth one

28327472 x 3238287382

Answers

Answer:

Exact Form:

91732495141558304

Decimal Form:

9.17324951 ⋅ 10^16

Step-by-step explanation:

Use long multiplication to evaluate.

Hope this helps <3

Write the equation so that a = 1: x2 + x =

Answers

The answer is : x^2 + x = x ( x + 1 )

What is algebraic equation ?

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.

There are various method through which we can solve or define the algebraic expression. One definition I have mentioned earlier..

To solve this equation

if a = 1, the equation x^2 + x = can be completed as follows :

x^2 + x = x ( x + 1 )

Therefore, the final answer is :  x^2 + x = x ( x + 1 )

To know more about algebraic expression visit : https://brainly.com/question/953809

#SPJ1

Which of the following statements best describes the modulus of a complex number? Select all that apply.

the absolute value of a complex number
the distance that a complex number is from the pole
the distance that a complex number is from the origin
the complex number squared

Answers

Answer:

Step-by-step explanation:

i beleive its the 1st or 3rd option

what is x

4 x 3x = 48

Answers

x is equal to 4. hope this helps

Answer:

x=4

Step-by-step explanation:

4 x (3x4)=48

you do 48 divided by 4 equals 12. Then 12 divided by 3 and you get X = 4

Find an equation of the tangent line to the of the function at the given point.
f(x) = 3x2 – In x (1,3)

The answer is 5x-y-2=0 but I don’t know how to get to it.

Answers

Step-by-step explanation:

The slope of the tangent line is equal to the derivative.

f(x) = 3x² − ln x

f'(x) = 6x − 1/x

f'(1) = 6(1) − 1/1

f'(1) = 5

Use point-slope form:

y − 3 = 5 (x − 1)

Simplify:

y − 3 = 5x − 5

0 = 5x − y − 2


2,5,9,12,7,10,6,3,6
a) find the mean of the above data​

Answers

Answer:

Step-by-step explanation:

2,5,9,12,7,10,6,3,6

mean=(2+5+9+12+7+10+6+3+6)/9

=60/9

=6.67(approx)

Brenda can deliver 644 newspapers in 7 hours

Answers

Answer:

annndddd??? what's the question

Answer:

Step-by-step explanation: need alittle more XD

How do you do this question?

Answers

Answer:

½√2

Step-by-step explanation:

∑ₙ₌₀°° (-1)ⁿ π²ⁿ / (4²ⁿ (2n)!)

∑ₙ₌₀°° (-1)ⁿ (π/4)²ⁿ / (2n)!

Using the Taylor expansion for cos x:

cos (π/4)

½√2

- a b – 3ab - C+ 3ab2 - 2a² b + ab
where a = -1, b = -3 and c = = 10:​

Answers

Answer:

Step-by-step explanation:

-a b-3ab-C+ 3ab2 - 2a² b + ab

where a = -1, b = -3 and c = = 10:​

= -(-1)(-3)-3(-1)(-3)-10+3(-1)(-3)2-2(-1)²(-3)+(-1)(-3)

= -(3)-(3)-10+6(3)-2(3)+3

=-3-3-10+18-6+3

=-22+21

= -1

Which fraction is equivalent to 2/3 explain

Answers

Answer:

4/6, 8/12, 20/30

Step-by-step explanation:

They are equivalent to 2/3, because they can all be simplified to 2/3.

For example, 2 x 2 = 4 and 2 x 3 = 6; this gives me 4/6. I multiplied 2/3 by 2/2.

SO it can also be 2/3 = 4/6= 6/9 = 8/12 = 10/15 = 12/15 = 15/18 = 18/21 = 21/24 etc.

~hope it's right

4/6 is equivalent to 2/3
If you times both numbers by 2 you get the answer
2/3
x/x
2/2
——-
4/6

The hypotenuse of a certain triangle is 5
units long and one leg is 3 units long. Find
the area of the triangle.​

Answers

Answer:

If the given 5 units and 10 units are both legs of the right triangle, then the answer should be 11.18 units.

Investors buy a studio apartment for 140,000. Of this​ amount, they have a down payment of 35,000. Their down payment is what percent of the purchase​ price? What percent of the purchase price would a ​$56,000 down payment​ be?

Answers

Answer:

25%40%

Step-by-step explanation:

Cost of apartment = 140000Down payment = 35000

Down payment of 35000 is:

35000/140000*100% = 25%

Down payment of 56000 is:

56000/140000*100% = 40%

Answer:32553

Step-by-step explanation:1,400x35000x 56000/ 140000

Which one is better? Knight or bishop? Why? (Chess).

Answers

Answer:

knight

Step-by-step explanation:

because he is a knight

According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1640 children, 225 were found to be living with at least one grandparent. At a 2% significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%? Use both the p-value and the critical-value approaches.

Round your answers for the observed value of z and the critival value of z to two decimal places, and the p-value to four decimal places.

Answers

Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that  the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

Step-by-step explanation:

From the question we are told that

   The population proportion is [tex]p = 0.11[/tex]

   The sample size is  n =  1640

   The number found to be living with at least one grandparent is [tex]k = 225[/tex]

   The level of significance is  [tex]\alpha = 0.02[/tex]

   The null hypothesis is [tex]H_o : p = 0.11[/tex]

   The alternative hypothesis is  [tex]H_a : p > 0.11[/tex]

Generally the sample proportion is mathematically represented as

     [tex]\^ p = \frac{ k }{n}[/tex]

=>  [tex]\^ p = \frac{ 225 }{1640 }[/tex]

=>  [tex]\^ p = 0.1372[/tex]

Generally the test statistics is mathematically represented as

     [tex]z= \frac{\^ p - p }{ \sqrt{\frac{p(1- p)}{n} } }[/tex]

=>[tex]z = \frac{ 0.1372 - 0.11 }{ \sqrt{\frac{0.11(1- 0.11)}{1640} } }[/tex]

=>[tex]z = 0.0077[/tex]

From the z table  the area under the normal curve to the left corresponding to  0.0077  is  

    [tex]p-value = P(Z > 0.0077) = 0.4969[/tex]

From the value obtained we see that [tex]p-value > \alpha[/tex] hence

The decision rule is  

Reject the null hypothesis

The conclusion is  

 There is no sufficient evidence to show that  the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

Perform the function compositions

Answers

Answer:

1. 4x^2-24x^2+37

2.16x^4+8x^2-2

Step-by-step explanation:

Help D: PLEASE STAT ON THE DOT

Answers

Answer:

Mitch made a mistake in step 1.

Step-by-step explanation:

7.7 = w - 2

Add two to both sides

7.7 + 2 = w - 2 + 2

9.7 = w is the right answer.

What does please stat on the dot mean?

Anyway yeah he messed up on step 1 because he should have added the two on the other side instead of subtracting.

The real answer is 9.7
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