Find (a) the axis of symmetry and (b) the vertex of the graph of the function.
Ax) = 4x² - 8x

Answers

Answer 1

Step-by-step explanation:

I am not sure, what is the level of math for you currently.

do you do differentiation and derivatives already ?

because that is how I find "extreme points" and "turning points" of a function right away.

the vertex is the turning point for a quadratic parabola.

that means the point where the slope (= the first derivative) of the function is 0.

and that is also where the axis of symmetry is.

8x - 8 = 0

8x = 8

x = 1 (axis of symmetry).

y = 4×1² - 8×1 = 4 - 8 = -4

so, the vertex is (1, -4)

in case you don't understand derivatives yet, there is a shortcut for this for quadratic equations (fyi - in fact, the generic result of the first derivative) :

y = ax² + bx + c

the x value for the axis is then

x = -b/(2a)

in our case

a = 4

b = -8

x = - -8/8 = 8/8 = 1

and then y is calculated as above.


Related Questions

PLEASE HELP GIVING BRAINLIEST

Answers

Answer:

A.10,4

B.5,10

C.5,5

D4,4

Step-by-step explanation:

KERE ON LERNER?

If (-3)-5=1/xwhat is the value of x?

Answers

Option A

Option A -243

if any doubt leave a comment and don't forget to give BRAINLIEST

Solve the equation, 3/4x + 3 - 2x = -1/4 + 1/2x + 5

Answers

Answer:

I think x=  -1

Step-by-step explanation:

Given 4(3x-8)=52 prove x=7

Answers

Answer:

4(3x-8)=52

divide both sides by 4

4/4(3x-8)=52/4

3x-8=13

add both sides by 8

3x-8+8=13+8

3x=21

divide both sides by 3

3x/3=21/3

x=7

Step-by-step explanation:

this question got asked three times =)

Answer:

52 is the answer

Step-by-step explanation:

You always work with your paratheses first. Work with your variable(s) to make things easier. Plug in the number given for your variable.

3(7)=21

Subtract the numbers in the paratheses once you have found the number with the variable.

21 - 8 = 13

Last step is to combine the number in the parentheses with the number(s) out of the parentheses. Depending on the equation, the number outside of the parentheses will have to be added/subtracted/multiplied/divided. In this equation, we have to multiply since there´s no given sign for multiplying. You automatically know you have to multiply because the number is right next to the parentheses.

4 * 13 = 54 or 13 * 4 = 54

I hope this helps u! :D

whats the answer can someone answer please​

Answers

Answer:

b and c

Step-by-step explanation:

Answer:

answer of QN 12 is 0.000000000999 and the answer of QN 13 is 30x + 42

The bed in the bedroom of Melanie's dollhouse is 4 inches long. The bed in Melanie's real bedroom is 6 feet long.

What is the unit rate that compares the length of the bed in the bedroom to the length of the bed in the dollhouse?

Enter your answer, as a mixed number in simplest form, by filling in the boxes.

Answers

Answer: 1 1/2

Step-by-step explanation: I took it on k12

Answer:

The answer is 1 1/2 for K12

If 2 students can clean the classroom in 20 min. How long will it take 8 students to clean the classroom?
(1) 160 min
(2) 80 min
(3) 5 min
(4) 10 min

Answers

Answer:

5 MIN

Step-by-step explanation:

Solve
-16+ 20

A. -36

B.-4

C. 4

D. 36

Answers

Answer:

C: 4

Step-by-step explanation:

We can rearrange the numbers:

[tex]-16+20=+20-16=20-16=4[/tex]

Answer:

C. 4

Step-by-step explanation:

-16+20 equals 4 becase:

-16 is under zero, and if we add 20 to that, it will take 16 of that 20 to fill up the negative part, and the rest part remaining will be 4. So that four will add up to be the positive number!

Thank You! Please Mark Me Brainliest!

Please answer and show your work

Answers

Answer:

check online for more information

Please help me answer this question!!!

Answers

Answer:

19

Step-by-step explanation:

The triangle is an isosceles and so angle SRT and angle STR are equal

also:

Angle SRT and angle STU are supplementary so their sum is equal to 180

7x + 2x + 9 = 180 add like terms

9x + 9 = 180 subtract 9 from both sides

9x = 171 divide both sides by 9

x = 19

The fact that the sampling distribution of the sample mean can be approximated by a normal probability distribution whenever the sample size is large is based on the _____.

Answers

Answer:

can you add a pic

Step-by-step explanation:

Find the product using formula ...


formula = ( a + b ) ( a - b )


a) 1.2 × 2.8​

Answers

Step-by-step explanation:

1.2 × 2.8

(2 - 0.8 )(2 + 0.8)

2² - (0.8)²

4 - 0.64

3.36

Solution:

[tex]1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36[/tex]

Answer:

3.36

Hope it helps.

Do comment if you have any query

Let E be the region bounded cone z = â 6 â ( x 2 + y 2 ) and the sphere z = x 2 + y 2 + z 2 . Provide an answer accurate to at least 4 significant digits. Find the volume of E.

Answers

Answer:

       

Step-by-step explanation:

A bear cub weighs 10 pounds at birth, and it gains an average of 5 pounds every month.

Answers

Answer:

Just keep adding 5 for each month.

Step-by-step explanation:

10 + 5 = 15

15 is first month

20 second

25 third

30 fourth

35 fifth

40 six

etc.

Equation :

10 + (5m)

m = number of months that have passed by.

need help with my math please <3

Answers

Answer:

wth that's hard I can't answer that

Is 1.05 greater than or less than 1.3

Answers

1.05 is less than 1.3 because the value in the tenths place in 1.05 is less than the one that’s in 1.3!!

The larger number is obtained as 1.3.

What is a Decimal number?

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The given decimal numbers are 1.05 and 1.3.

The decimal 1.3 can be written as 1.30.

Now, the two decimals can be compared as below,

1.05 and 1.30

Both the decimals have equal integer part.

Digit at tenths of 1.05 is 0 and for 1.30 is 3.

Since, 3 > 0.

⇒  1.30 > 1.05

Hence, 1.3 is greater than 1.05.

To know more about decimal number click on,

brainly.com/question/4708407

#SPJ2

A recipe calls for 5 cups of cashews for 4 cups of flour. Using the same recipe, how many cups of flour will you need for 2 cups of cashews? » How many cups of flour will you need for 2 cups of cashews? ​

Answers

Answer:

8/5 cups

Step-by-step explanation:

equal 5/4 to 2/x x representing the amount of flour

cross multiply: 5x=8

divide: x=8/5

PLSS HELP
the question is in the picture​

Answers

Answer:

I think it's -4/5

Step-by-step explanation:

3 + -7 = -4

--------------

5

=

-4/5

10% of $70 = what is the answer i do not now it.

Answers

Answer:

10% 0f 70 is 7

Step-by-step explanation:

70÷10=7

10%=7

As the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases. This is an example of a __________ correlation.

Answers

If the temperature decreasing in New York leads to the number of people wearing sweaters increasing, this is Negative correlation.

There are several types of correlation:

Positive correlation - An increase in one variable leads to an increase in another variable and vice versa Negative correlation - An increase in one variable leads to a decrease in another variable and vice versa Zero correlation - Variables don't change in relation to one another

In this scenario we notice that when temperatures decreased, people wearing sweaters increased. This is therefore negative correlation as the variables moved in opposite directions.

In conclusion, what was observed is negative correlation.

Find out more at https://brainly.com/question/10099551.

KS3 year 8 maths homework.

due tomorrow,

i’m really confused..

Answers

Answer:

a) = 6:55

b) = 37

c) =15:12

Answer:

a)6:55

b)37min

c)15:12

Alfred has made 8 cookies to give to his friends. Since he has 15 friends that he wants to give cookies to, how many more cookies does he need to make? Define a variable, write an equation, and solve your equation algebraically. Check your solution.

Answers

I wrote notes on this question a while ago

C=cookies to make

C+8=15

C+8-8+15-8

C+0=7

C=7

Check:7+8=15

15=15

Amana Hagel earns $476 a week. She is married and claims 3 allowances. How much will
be withheld from her weekly paycheck for Federal Income Tax?

Answers

Answer:

$158.67

Step-by-step explanation:

10. Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 3 liters of natural oil for every 4
liters of synthetic oil. In order to make 518 liters of Petrolyn oil, how many liters of natural oil are needed?
Step by step please

Answers

you have the ratio of natural:synthetic so;

3:4

3+4=7

357/7=51

3*51:4°51

153:204

therefore, it'd be 204 litres of synthetic oil!!

i hope this helps you!!



If two resistors with resistances R, and Ry are wired in parallel, then their combined resistance R is given by the complex fraction R=
R, R₂
Evaluate this formula when R1 = 70 ohms and R2 = 125 ohms.

Answers

Answer:

The equivalent resistance of two resistances connected in parallel is given by 1/R = 1/R1 + 1/R2

R = (R1*R2)/(R1 + R2)

(dR)/(dt) = ((R1*(dR2)/dt + R2*(dR1)/dt)(R1 + R2) - (R1*R2*((dR1)/dt + (dR2)/dt)))/(R1 + R2)^2

R1 is increasing at a rate of 0.3 ohms/second and R2 is increasing and finish i am busy right now am sorry to finish this question here ur formula

Four subtracted from x is less than 18.

Answers

Answer:

x - 4 < 18

Step-by-step explanation:

< means less than

> means more than

if h(x)=5x+2 and g(x) =9x-4 find (h o g) (3)

Answers

Answer:

h(g(x)) = 45x -18

Step-by-step explanation:

h(g(x)) = 5(9x - 4) + 2

= 45x - 20 + 2

= 45x -18

[tex]\text{Given that,}\\\\h(x) = 5x+2 \\\\g(x) = 9x-4\\\\g(3) = 9(3) -4 =27 -4=23\\\\(h \circ g)(3) \\\\=h(g(3))\\\\=h(23)\\\\=5(23) +2 \\\\=117[/tex]

1
Show that the matrix C = -2
- 2 3
4-5
--5 6
is symmetric.
3

Answers

-4-5 to the matrix 54 can symmetric to 3 aswell as other numbers

How many lines of symmetry does the figure have?

A. 1
B. 5
C. 2
D. 0

Answers

Answer:

B. 5

Step-by-step explanation:

Kind of hard to explain why

Answer: B. 5

Step-by-step explanation: The tiny lines on the sides of the pentagon are the lines of symmetry

what is 83\100 in decimal form

Answers

0.83 is the answer because when you divide a number by 100 you move the invisible decimal place 2 spaces to the left:
83 = 83.0 When you move the decimal place two places to the left you get: 0.83

Hope this helps!
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