Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1
Axis of symmetry: x = -0.5; Vertex: (-0.5, -0.75); f(x) = x2 - x + 1
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = -x2 + x
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + 2x + 1

Axis Of Symmetry: X = -0.5; Vertex: (-0.5, 0.75); F(x) = X2 + X + 1Axis Of Symmetry: X = -0.5; Vertex:

Answers

Answer 1

Answer:

Option A: Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1

Step-by-step explanation:

1) The axis of symmetry of quadratic graph is the vertical line that divides the graph curve into two congruent halves. In this case, it is: x = -0.5

2) Vertex is the point at which the graph curve changes direction or simply coordinates of the crest or trough of the curve.

The graph given has a trough with the coordinates: x = -0.5, y = 0.75. This is (-0.5, 0.75)

3) The roots of a quadratic equation are the points where the curve crosses the x-axis. In this case, it doesn't cross and so we have imaginary roots.

Now, formula for line of symmetry is; x = -b/2a

Thus; -b/2a = -0.5 or -b/2a = -1/2

Thus, b = 1 and a = 1

Our first and second terms will now be;

x² + x

Looking at the options, the only one with x² + x as it's first 2 terms is option A.

Thus, the complete equation will be x² + x + 1


Related Questions

Please help me!!!
Write the following comparison as a ratio reduced to lowest terms.
25 nickels to 25 dimes

Answers

Answer:

[tex]N:D = 1: 2[/tex]

Step-by-step explanation:

Given

Represent Nickels with N and Dimes with D

[tex]N=25[/tex]

[tex]D=25[/tex]

Required

Write as a ratio to lowest term

Ratio of Nickels to Dime is represented as N:D

[tex]N:D = 25\ nickels : 25\ dimes[/tex]

Convert nickels to dollar

[tex]N:D = 25\ * \$0.05. : 25\ * \$0.10[/tex]

[tex]N:D = 1.25 : 2.5[/tex]

Divide through by 1.25

[tex]N:D = 1.25/2.25 : 2.5/1.25[/tex]

[tex]N:D = 1: 2[/tex]

Hence, the ratio to lowest term is 1:2

Which of the following expressions is a correct interpretation of the expression 2-(-7)

PLEASE ANSWER NOW!!! DURNING A QUIZ

Answers

Answer:

B

Step-by-step explanation:

Because you are subtracting a negative number from a positive number, the two negatives will cancel each other out and it will move to the right.

What is the value of 3 - (-2)
-5
-1
1
5

Answers

Answer:

5

Step-by-step explanation:

if your subtracting a negative number, you just add it.

Answer:

The answer is 5.

Step-by-step explanation:

There is a double negative in the equation, represented by -(-2). A double negative always equals a positive, so the equation will now translate to 3+2, which is 5.

A manager is going to purchase new processing equipment and must decide on the number of spare parts to order with the new equipment. The spares cost $179 each, and any unused spares will have an expected salvage value of $49 each. The probability of usage can be described by this distribution: Number 0 1 2 3 Probability .05 .60 .20 .15 Click here for the Excel Data File If a part fails and a spare is not available, 2 days will be needed to obtain a replacement and install it. The cost for idle equipment is $640 per day. What quantity of spares should be ordered

Answers

Answer:

service level is 90.78% ( it falls on cumulative probability of  1.00 or 100%)

Therefore the quantity of spares that should be ordered is 3

Step-by-step explanation:

Given that;

spares cost =  $179 each

salvage value = $49 each

distribution of the probability of usage;

Number      Probability        cumulative Probability

0                   0.05                       0.05

1                    0.60                       0.65

2                   0.20                       0.85

3                   0.15                        1.00

Now

the cost of stock-out (underestimation) Cu

= $640 per day × 2 days = $1,280

the cost of excess inventory (overestimation) Co

= Unit cost - salvage value = $179 - $49 = $130

Therefore Service Level = Cu / ( Cu + Co )

we substitute

Service Level = $1,280 / ( $1,280 + $130 )

= $1,280 / $1410

= 0.9078 or 90.78%

so service level is 90.78% ( it falls on cumulative probability of  1.00 0r 100%)

Therefore the quantity of spares that should be ordered is 3

Csctheta x tantheta= sectheta

Answers

Answer:

TRUE

Step-by-step explanation:

That is true, you get 1/cos(Θ) which is sec(Θ)

please give thanks and hit that heart button :)

I’ll give you a brain list !
Suzie is making macaroni for her cousin's birthday party. For every 9 cups of macaroni, she needs to use 27 cups of water. Match the proportional relationships in the table Suzie can use.

Answers

Answer: 1 cup of macaroni for 3 cups of water

Step-by-step explanation:

9/27 divided 3=1 cup/3 cup

What is i raised to the 5th power?
Complex numbers algebra

Answers

the answer would be i

A line passes through (-2, 10) and (8.-9). Write an equation for the line in point-slope
form AND rewrite the equation in standard form using integers.

Answers

Merry Christmas and Happy Holidays!!! <3

Answer:

The Standard Form of the equation of a line is:   Ax+By=C

Converting that, once and forevermore, into slope-intercept form, and remembering the result,

      the slope m=(-A/B).

 

If the given slope is 8, the equation of the line is 8x-y=C and we a point to determine C.  Use (2,10)

      8(2)-10=C

         6 = C

 

The equation of the line, in Standard Form, is:    8x - y = 6

ILL GIVE BRAINLEST ​

Answers

Answer:

it would be increasing.

Step-by-step explanation:

Answer:

its inreasing happy to help brainlest plz

Step-by-step explanation:

C.P=Rs 20,S.P =Rs24,profit​

Answers

CP=RS20

SP=RS24

NOW ‚

Profit=SP-CP

=Rs24-Rs20

=Rs4

-4x + 10y

X=5
Y=7
Find the value of the algebraic expression

Answers

Answer:

50

Step-by-step explanation:

-20+70=50

Which of the following is equal to 3.TE?

Answers

Your answer is 37( 32 in ur mom equal to 3-4

4(x-3)=9 what is the first step

Answers

Answer:

x= 5.25

Step-by-step explanation:

You have to get x alone, so do inverse operations.

(Basically, reverse what it is)

4(x-3)=9

divide 4 by both sides to get rid of 4 on left side

9/4 = 2.25

(x-3) = 2.25

Now add 3 to both sides, to get x alone

2.25 + 3 = 5.25

x=5.25

Check work

4(5.25-3) = 9

4(2.25) = 9

9=9

There are 12 pieces of pie left over in the cafeteria. If 6 pieces are apple and 6 are cherry, what fraction of the remaining pieces are apple? Simplify your answer as much as you can.

Answers

Answer:

1/2

Step-by-step explanation:

Pls help with the math!! It would mean a lot if you could print it out and do it! Tyyyyyy WILL MARK BRAINLIST!

Answers

Answer:

Step-by-step explanation:

Answer:

mark the answer below as brainliest x

Step-by-step explanation:

What is the 21st term of the sequence with a1 = -6 and d = 4?
choices-
74

70

78

-40

Answers

Answer:

[tex]\boxed {\boxed {\sf 74}}[/tex]

Step-by-step explanation:

The nth term of an arithmetic sequence can be found using the following formula.

[tex]a_n=a_1+(n-1)d[/tex]

Where n is the term, a₁ is the first term, and d is the common difference.

We want to find the 21st term, we know the first term is -6, and the common difference is 4.

[tex]n= 21\\a_1= -6 \\d=4[/tex]

Substitute the values into the formula.

[tex]a_{21}=-6+(21-1)4[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve inside the parentheses.

[tex]a_{21}=-6+(20)4[/tex]

Multiply 20 and 4.

[tex]a_{21}= -6+80 \\[/tex]

Add -6 and 80.

[tex]a_{21}=74[/tex]

The 21st term of the sequence is 74

Answer:

SoluTion :-

Here we will use the formula

[tex] \tt \: a_n \: = a_1 +( n - 1)\: \times d[/tex]

[tex] \tt\: a_{21} = −6+(21−1)4[/tex]

By using PEMDAS

[tex] \tt \: a_{21} = - 6 + (20)4[/tex]

[tex] \tt \: a_{21} \: = - 6 + 80 = 74[/tex]

[tex] \huge \tt \bigodot \: \: 74[/tex]

52/20-5/20 what is the answer to this math question?

Answers

Answer:

that answer is 47/20

Step-by-step explanation:

52-5=47

20-20=20

52/20-5/20=47/20

Answer:

50/20-5÷20=2.35

Step-by-step explanation:

I used a calculator i hope it helps : )

What happens to the graph of f(x) = 3(.96)when a constant is added
to it and it becomes f(x) = 3(.96)X + 12?

Answers

Answer:

The graph of the function gets vertically shifted upwards by 12 units.

Step-by-step explanation:

Solve for x :)
6x + 4x – 6 = 24 + 9x

Answers

Answer:

x=30

Step-by-step explanation:

6x+4x-6=24+9x

combine like terms

10x-6=24+9x

add 6 on both sides

10x=30+9x

subtract 9x on both sides

x=30

Hope this helps! :)

12.48 + (-10.636)
1.814
As a decimal

Answers

Answer:

That answer is 1.814

Step-by-step explanation:

If 21% = 96 students how many students is 1%.

Or you can help with the whole question

Answers

Answer:

1% are 5 students

Step-by-step explanation:

21% is 96 then

1% is X

X = 1*96 / 21

X = 5

Can someone who is good at math help me with my homework I can pay you!!!

Answers

Answer:

What kind of math and what grade?

Explanation:

Carol had $497 in her bank account if $912 is withdrawn from it how much is new balance in her bank account

Answers

-415 because $497-$912=-415 please mark me brainliest

The anwser is -415

hope this helped!

Read this E[2X^2 â€" Y].
I know part of it is read as the expected value of two times x square but what do these symbol mean â€" Y.

Write it down in English letters not mathematical expression
Thanx

Answers

Looks like a badly encoded/decoded symbol. It's supposed to be a minus sign, so you're asked to find the expectation of 2X ² - Y.

If you don't know how X or Y are distributed, but you know E[X ²] and E[Y], then it's as simple as distributing the expectation over the sum:

E[2X ² - Y] = 2 E[X ²] - E[Y]

Or, if you're given the expectation and variance of X, you have

Var[X] = E[X ²] - E[X

→   E[2X ² - Y] = 2 (Var[X] + E[X]²) - E[Y]

Otherwise, you may be given the density function, or joint density, in which case you can determine the expectations by computing an integral or sum.

noelle is drawing fraction bars to model the sum of 1/5 and 3/4. What is the smallest number of equally sized pieces each fraction bar can be broken into to find the sum?

Answers

Answer:

the smallest number of equally sized pieces is 20

Step-by-step explanation:

The computation of the smallest number of equally sized pieces is as follows:

Given that

The sum of 1 by 5 and 3/4

Now

if we sum it

= 1 ÷ 5 + 3 ÷ 4

= 4 + 15 ÷ 20

= 19 ÷ 20

Now as if we do the lcm so the denominator sum be 20

Therefore the smallest number of equally sized pieces is 20

Plot the points O(0,0) R(1,4) C(−4, −1)and K(−4, 8)to form triangles ∆ORK and ∆OCK. Decide the relationship between m∡KOC and m∡KOR. Be sure to justify with any algebra and theorems !

Answers

Answer:

i think its c

Step-by-step explanation:

EASY MATH PLS HELP
For f(x)= 19-5x, what is the value of f(-3)?

Answers

Answer:

f(x)= 19-5(-3)

19+15

f(x)=34

Step-by-step explanation:

Serena bought 5 shirts for $6 each spent $7 on lunch. she paid for the shirts and lunch using her debit card. The change in the balance of serena’s checking account can be represented by the expression shown. 5(-6) + (-7) which integer represents the change in the balance of serena’s checking account from these purchases? A // -37. B // 23. C // -18. D // 4

Answers

Answer:

A -$37

Step-by-step explanation:

5×6=30

30 +7= 37

since your losing money its negatively

-37

Complete the congruence statement by naming the corresponding angle or side.
50 points

Answers

Step-by-step explanation:

Triangles RQP and RBC are congruent.

Letters R and P are the 1st and 3rd letters in RQP.

Letters R and C are the 1st and 3rd letters in RBC.

Hence line RP = line RC = line CR (D).

D) CR

ΔRQP ≅ ΔRBC

They are congruent so if you highlight the line PR and find the similar one,

ΔRQP ≅ ΔRBC

The line would be line CR.

Maya drove 110 miles in 5 hours. If she continued at the same rate, how long would it take to travel 176 miles?

Answers

Answer:

8 hours

Step-by-step explanation:

110 miles ................. 5 hours

176 miles ..................x hours

x = 176×5/110 = 880/110 = 8 hours

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