Given the functions f(x) = x2 + 6x − 1, g(x) = –x2 + 2, and h(x) = 2x2 − 4x + 3, rank them from least to greatest based on their axis of symmetry. a. f(x), g(x), h(x) b. h(x), g(x), f(x) c. g(x), h(x), f(x) d. h(x), f(x), g(x)

QUESTION POSTED AT 03/12/2019 - 04:20 AM

Answered by admin AT 03/12/2019 - 04:20 AM

 You can find an axis of symmmetry of quadratic function by using this formula:

x=-\dfrac{b}{2a} \\ \\ \hbox{Where function is} \ \ f(x)=ax^2+bx+c \ \ \hbox{assuming} \ \ a\neq 0

An axis of f(x):

x=-\dfrac{6}{2 \cdot 1}=-\dfrac{6}{2}=-3

Of g(x):

x=-\dfrac{0}{2 \cdot (-1)}=\dfrac{0}{2}=0

Of h(x):

x=-\dfrac{-4}{2 \cdot 2}=\dfrac{4}{4}=1

At least to greatest you've got  -3, 0,  1   so f(x),  g(x),  h(x). Answer a
Post your answer

Related questions

What is 24 tenths - 1 one 3 thenths

240-31=209 is the answer i belive

ANSWERED AT 09/12/2019 - 05:12 AM


QUESTION POSTED AT 09/12/2019 - 05:12 AM

What two numbers add to 4 and multiply to 1

There are no numbers for this, thus you will have to use the quadratic formula.

ANSWERED AT 09/12/2019 - 05:12 AM


QUESTION POSTED AT 09/12/2019 - 05:12 AM

There are 810 calories in 3 scoops of vanilla ice scream. How many calories are there in 7 scoops of ice screams

810/3=270 You divide 810 by 3 to find the number of calories in 1 scoop
270*7=1890 You multiply 270*7 to find the total calories in 7 scoops

ANSWERED AT 09/12/2019 - 05:11 AM


QUESTION POSTED AT 09/12/2019 - 05:11 AM

Use compatible number to find two estimate 2,242÷33

Compatible numbers are also considered as estimates numbers.
Now the given equation is 2 242 / 33
=> Let’s find the compatible number to find the estimate quotient
=> 2 242 – 2 = 2 240
=> 33 + 2 = 35
=> 2 240 / 35
=> 62, this is the estimated quotient
The correct answer is:
=> 2 242 / 33
=> 67.94, the exact answer.
62 and 67.94 is not exactly the same but close. That’s how estimation works.



ANSWERED AT 09/12/2019 - 05:09 AM


QUESTION POSTED AT 09/12/2019 - 05:09 AM

Whole numbers between 200 and 220 that are multiple of 3

204/68=3, 207/69=3, 210/10=3, 213/71=3, 216/72=3, 219/73=3

ANSWERED AT 09/12/2019 - 05:08 AM


QUESTION POSTED AT 09/12/2019 - 05:08 AM

Turn (-4,3)and(-3,0) into slope-intercept form

The answer to this in y=mx+b form is y=-3x-9.

ANSWERED AT 09/12/2019 - 05:07 AM


QUESTION POSTED AT 09/12/2019 - 05:07 AM

Gina’s art teacher mixes 9 pints of yellow paint with 6 pints of blue paint to create green paint. Gina mixes 4 pints of yellow paint with 3 pints of blue paint. Did Gina use the same ratio of yellow paint to blue paint instructed by her teacher? Explain.

I think the answer to that is 8 because i added 9+6=15 then I added 4+3=7 and then I subtracted 15-7=8 just check your answer if I'm correct or not

ANSWERED AT 09/12/2019 - 05:06 AM


QUESTION POSTED AT 09/12/2019 - 05:06 AM

If Yvonne wanted to make 3 dresses that use 4 7/8 yd of fabric each, explain how she could use estimation to make sure she has enough fabric for all of them

I agree. would take the 3 dresses and multiply 5 yards a piece. So she needs a total of 15 yards estimating.

ANSWERED AT 09/12/2019 - 05:06 AM


QUESTION POSTED AT 09/12/2019 - 05:06 AM

Two students participated in a fund-raiser. Each sold a combination of pencils and notebooks. The first student sold 2 pencils and 8 notebooks for a total of $17. The second student sold 10 pencils and 3 notebooks for a total of $11. Find the price of each item. Write a system of equations (two equations), and define the variables also. x= y= 1) 2)9 POINTS! Please help!

2x + 8y = 17
10x + 3y = 11

We need to solve the system of equations.

x = pencils
y = notebooks

If we solve by graphing, we get the answer:

One pencil costs 0.50 dollars
One notebook costs 2.00 dollars

ANSWERED AT 09/12/2019 - 05:05 AM


QUESTION POSTED AT 09/12/2019 - 05:05 AM

Determine if each pair of ratios and rates is equivalent. $3 for 6 bagels; $9 for 24 bagels

Ratio is not equivalent because 3 dollars times 3 is 9
6 times 3 is 18
18 IS NOT equal too 24

ANSWERED AT 09/12/2019 - 05:00 AM


QUESTION POSTED AT 09/12/2019 - 05:00 AM

Carly is making 3 1/2 batches of biscuits. If one batch calls for 2 1/3 cups of flour, how much flour will she need?

4 2/3 because 2 1/3 plus 2 1/3 equals 4 2/3

ANSWERED AT 09/12/2019 - 05:00 AM


QUESTION POSTED AT 09/12/2019 - 05:00 AM

Dao has 2 3/8 pounds of hamberger meat je is making 1/4 pound hamburgers does dao have enough meat to make 10 hamburgers explain

So multiply 1/4 by 10 and get 10/4=8/4+2/4=2+1/2=2 and 1/2
is 2 and 3/8 more or equal to than 2 and 1/2
1/2 times 4/4=4/8
he needs 2 and 4/8 and has 2 and 3/8, he is short 1/8 lb
he does not have enough

ANSWERED AT 09/12/2019 - 04:59 AM


QUESTION POSTED AT 09/12/2019 - 04:59 AM

Wilma has 3 small containers hold 8 pounds each 6 large containers can hold 12 pound of birdseed each container was full until she used 4 pounds of bird seed she wants to put some of the remaining birdseed into 30 bird feeders can hold 2 pounds each HOW MUCH DOES SHE HAVE LEFT OVER?

I think ten answer to that is 156 because first I timed 8 and 6 which i got 48 then I saw that it said 3 containers so i put 3 48s and added 4 to each 48 then i got 52 in each and i added 52 3 times and i got 156 so that is the answer

ANSWERED AT 09/12/2019 - 04:58 AM


QUESTION POSTED AT 09/12/2019 - 04:58 AM

Explain how knowing 1+7 helps you find the sum for 7+1

Knowing 1+7 helps you find the sum of 7+1 because 1+7 and 7+1 is communitive property of addition. Also because 1+7 is the same answer as 7+1. 
Ex:
      1+7=8 
        And
       7+1=8
its the same result.

ANSWERED AT 09/12/2019 - 04:58 AM


QUESTION POSTED AT 09/12/2019 - 04:58 AM

4/5;3/4;;0.88 least to greatest

3/4 would equal .75
4/5 would equal .80
.88 equals .88
sooo.....
.75 ; .80 ; .88
3/4 ; 4/5 ; .88

ANSWERED AT 09/12/2019 - 04:57 AM


QUESTION POSTED AT 09/12/2019 - 04:57 AM

A ribbon is 3 2/3 yards long mae needs to cut the ribbon into pieces that are 2/3 yard long use the model to find the number of pieces she can cut

 \frac{2}{3} = 11/3 yards long. 11/2= 5.5... Mae can cut 5 pieces.

ANSWERED AT 09/12/2019 - 04:57 AM


QUESTION POSTED AT 09/12/2019 - 04:57 AM

Jodi writes all the numbers between 300 and 400 with fewer than 2 ones. How many numbers does Jodi write

The only time this will happen is with 311, so she will write 99 numbers.

ANSWERED AT 09/12/2019 - 04:54 AM


QUESTION POSTED AT 09/12/2019 - 04:54 AM

What is the solution of the equation x+6 divided by 2 equals 5

(x+6)/2=5
=> x+6=10
=> x=4

ANSWERED AT 09/12/2019 - 04:54 AM


QUESTION POSTED AT 09/12/2019 - 04:54 AM

Solve these word problems 1---3 1: A factory processes 1,560 ounces of olive oil per hour. The oil packaged into 24-ounces bottles.How many bottles does the factory fill in one hour 2: A pond at a hotel holds 4,290 gallons of water.The groundskeeper drains the pound at a rate of 78 gallons of water per hour.How long will it take to drain the pound? 3:Explain using partial quotients to divide is similar to using the Distributive proprerty to multiply

1. To do this, you want to divide 1560 by 24.  This gives you 65.  The bottle fills 65 bottles per hour.
2. To do this divide 4290 by 78.  The result is 55.  It would take the groundskeeper 55 hours to drain the pond.  
3. They are similar because you break up pieces of the number and then you combine them.

ANSWERED AT 09/12/2019 - 04:53 AM


QUESTION POSTED AT 09/12/2019 - 04:53 AM

There are 3 cans that store 9 tennis balls. Consider the number of balls per can

Well, there are 9 balls, and 3 cans, to find how many balls each can has, you have to divide the number of balls by the number of cans. So, 9/3 = 3 Each can has 3 balls.

ANSWERED AT 09/12/2019 - 04:49 AM


QUESTION POSTED AT 09/12/2019 - 04:49 AM

1 5/9 divided by 2 1/3

5/7 because you have to turn the mixed number into an improper fraction by multiplying the denominator times the whole number and take the product of that and add the numerator to it and after that you have to set up the problem like this:15/9 divided by 7/3 then you have to to rewrite it but this time flip the second fraction around and turn the division sign to a multiplication sign and multiply and if you need to simplify the product then do it because my mother told me if i ever a fraction that i can simplify i should just simplify it from here on out.

ANSWERED AT 09/12/2019 - 04:48 AM


QUESTION POSTED AT 09/12/2019 - 04:48 AM

What is the slope and y intercept of 6x-2y=6

6x - 2y = 6                  NOTE* - y = mx + b
-6x        -6x
     -2y = -6x +6
     ---     ---    ---
     -2    -2      -2

y = 3x -3 & Slope (m) = 3

ANSWERED AT 09/12/2019 - 04:47 AM


QUESTION POSTED AT 09/12/2019 - 04:47 AM

What is the standard form of y=(x-3)^2+53

Y = (x - 3)² + 53
y = (x - 3)(x - 3) + 53
y = (x(x - 3) - 3(x - 3)) + 53
y = (x(x) - x(3) - 3(x) + 3(3)) + 53
y = x² - 3x - 3x + 9 + 53
y = x² - 6x + 62

ANSWERED AT 09/12/2019 - 04:45 AM


QUESTION POSTED AT 09/12/2019 - 04:45 AM

What is 43 ones X 3 tens

43 x 3 tens=
43 × 3= 1290
because you add the 0 because of 3 tens

ANSWERED AT 09/12/2019 - 04:39 AM


QUESTION POSTED AT 09/12/2019 - 04:39 AM

A rainstorm produced a rainfall of 2 inches per hour how many hours would it take to get a rainfall amount of one foot

12 inches in 1 ft. 2 inches per hour. 12 divided by 2 = 6hrs.

ANSWERED AT 09/12/2019 - 04:39 AM


QUESTION POSTED AT 09/12/2019 - 04:39 AM

What is 10 times as much as .1

10*.1=1
the answer is one; when you multiply a decimal by 10, you move the decimal one place to the right. or .1+.1+.1+.1+.1+.1+.1+.1+.1+.1=1

ANSWERED AT 09/12/2019 - 04:39 AM


QUESTION POSTED AT 09/12/2019 - 04:39 AM

Eugene takes 5/6 minute to run 1 lap around the track. if Eugene runs around their truck at the same pace for 1/4 hour how many laps will Eugene run?

Eugene takes 5/6 minute to run 1 lap around the track.
=> meaning 5/6 minute = 50 seconds
because in 1 minute there are 60 seconds, so they parted this into 6 parts, 10 minutes each
=> 60 / 6 = 6 or 6/6
If he runs around the track at the same phase for ¼ hour. Find the number of laps did Eugene run:
=> ¼ hour = 15 minutes, because in 1 hour they parted it into 4 parts.
=> So, how mnay 50 seconds are there in 15 minutes?
=> 15 minutes  x 60 seconds  =  900 seconds
=> 900 seconds / 50 seconds = 18
So, Eugene were able to complete 18 laps.



ANSWERED AT 09/12/2019 - 04:38 AM


QUESTION POSTED AT 09/12/2019 - 04:38 AM

How do you estimate 2 7/9 x 4 2/5. ?

12 2/9 is your answer

ANSWERED AT 09/12/2019 - 04:38 AM


QUESTION POSTED AT 09/12/2019 - 04:38 AM

19+(26-11)•3-16 what is my answer please

The answer to all your problems is 48.

ANSWERED AT 09/12/2019 - 04:31 AM


QUESTION POSTED AT 09/12/2019 - 04:31 AM

The table shows different ways that Cameron can display his 12 model cars on shelves. How many shelves will display 2 cars if 8 of the shelves each display 1 car

2 shelves will display 2 cars because if 8 shelves display 1 car then there would be missing 4 cars to display and if you display 2 cars in one shelf you will need 2 shelves 

ANSWERED AT 09/12/2019 - 04:28 AM


QUESTION POSTED AT 09/12/2019 - 04:28 AM