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

Graph the function and identify the axis is symmetry

F(x)= (x - 1)^2+2 Graph The Function And Identify The Axis Is Symmetry

Answers

Answer 1

Answer:

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

Step-by-step explanation:

Write F ( x ) = ( x − 1 ) 2 + 2 as an equation.

y=(x−1)2+2

Use the vertex form, y = a ( x − h )^2 + k , to determine the values of a , h , and k .

a = 1

h = 1

k = 2

Since the value of a is positive, the parabola opens up. Opens Up

Find the vertex ( h , k ) .

(1,2)

Find p , the distance from the vertex to the focus.

[tex]\frac{1}{4}[/tex]

( 1, [tex]\frac{9}{4}[/tex] )

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x = 1

I hope this helps.

F(x)= (x - 1)^2+2 Graph The Function And Identify The Axis Is Symmetry

Related Questions

What is the quotient of 3/4 1/6?

Answers

Answer: 9/2

......................


93 is what percent of 620?
%

Answers

Answer:

15%

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

PLEASE PLEASE PLEASE HELPPP MEEE !!! Identify all of the roots of the function.

f(x) = x3 – 5x2 – 2x + 24

Answers

Answer:

4, 3, -2 are the 3 roots of the function

Answer:

-2, 3 & 4

Step-by-step explanation:

The integer roots of the polynomial function f(x)=x^3-5x^2-2x+24f(x)=x

3

−5x

2

−2x+24 can be only among the divisors of free term.

The divisors of free term are:

\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 8, \pm 12, \pm 24.±1,±2,±3, ±4,±6,±8,±12,±24.

Check them:

1. f(1)=1^3-5\cdot 1^2-2\cdot 1+24=18\neq 0f(1)=1

3

−5⋅1

2

−2⋅1+24=18

=0 , 1 is not a root.

2. f(-1)=(-1)^3-5\cdot (-1)^2-2\cdot (-1)+24=20\neq 0f(−1)=(−1)

3

−5⋅(−1)

2

−2⋅(−1)+24=20

=0 , -1 is not a root.

3. f(2)=2^3-5\cdot 2^2-2\cdot 2+24=8\neq 0f(2)=2

3

−5⋅2

2

−2⋅2+24=8

=0 , 2 is not a root.

4. f(-2)=(-2)^3-5\cdot (-2)^2-2\cdot (-2)+24=0f(−2)=(−2)

3

−5⋅(−2)

2

−2⋅(−2)+24=0 , -2 is a root.

5. f(3)=3^3-5\cdot 3^2-2\cdot 3+24=0f(3)=3

3

−5⋅3

2

−2⋅3+24=0 , 3 is a root.

6. f(-3)=(-3)^3-5\cdot (-3)^2-2\cdot (-3)+24=-42\neq 0f(−3)=(−3)

3

−5⋅(−3)

2

−2⋅(−3)+24=−42

=0 , -3 is not a root.

7. f(4)=4^3-5\cdot 4^2-2\cdot 4+24=0f(4)=4

3

−5⋅4

2

−2⋅4+24=0 , 4 is a root.

The cubic function has at most 3 roots, then

Answer: roots of the function are -2, 3 and 4.

15 POINTS!
What is the correct answer for Dean's problem? Explain where he went wrong.

Answers

Answer:

The slope is 5/-2.

Step-by-step explanation:

Slope is y1-y2 over m1-m2 (rise over run). The first ordered pair is -2 (m1) and 11 (y1). We then subtract the second ordered pair (4 (m2) and -4 (y2)) from the first.

11 - (-4) = 11 + 4 = 15

-2 - 4 = -6

Remember, slope is rise over run (y over x), so the slope is 15/-6. Now, we must simplify. 15/-6 = 5/-2

Dean went wrong because he thought that slope was run over rise (x over y). If he had switched the two numbers, his answer would have been correct.

48 divided by what equals eight

Answers

Answer:

6

Step-by-step explanation:

6 is the answer because 6 times 8 equals 48, so if you divide 48 by 8 then the quotient would equal 6.

The number 48 should be divided by 6 to equal eight is 48 ÷ 6 = 8

To find what number 48 should be divided by to equal eight, we can set up the division equation and solve for the unknown value.

Let's represent the unknown number by 'x':

48 ÷ x = 8

Now, to find the value of 'x,' we can isolate it by performing the inverse operation of division, which is multiplication. We can multiply both sides of the equation by 'x':

x * (48 ÷ x) = x * 8

On the left side, 'x' cancels out with the 'x' in the denominator, leaving us with:

48 = 8x

Next, we can solve for 'x' by dividing both sides by 8:

48 ÷ 8 = 8x ÷ 8

6 = x

Therefore, the number 48 should be divided by 6 to equal eight:

48 ÷ 6 = 8

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helpextra pointseeeeeeeeeeeeee

Answers

Answer:

D (12.8)

Step-by-step explanation:

There are ten spaces between 12 and 13, and the point is on the eighth space

Answer:the answer is d.

Step-by-step explanation:

7. To the nearest tenth, what is the square root of 33?

Answers

The square root of 33 to the nearest tenth is 5.7

Hope this helped :)

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

a. 5 eggs b. 2 eggs every 20 crepes c they will need 2 eggs for every 20 crepes d 5 eggs 8 eggs

Step-by-step explanation:

i have not done this in a while

"The model can be used to solve 6×3.27. Select the partial products from the drop-down lists" i have no clue what to do, can someone explain to me?

Answers

Answer:

The partial products are:

18 + 1.2 + 0.42

The sum: 19.62

Step-by-step explanation:

This has to do with understanding what place value is.

3 ones = 3 * 1 = 3

6 * 3 ones = 18

2 tenths = [tex] 2 * \frac{1}{10} = 2*0.1 = 0.2 [/tex]

6 * 2 tenths = 1.2

7 hundredths = [tex] 7 * \frac{1}{100} = 7*0.01 = 0.07 [/tex]

6 * 7 hundredths = 0.42

The partial products are:

18 + 1.2 + 0.42

The sum = 19.62

Answer:

Answer:

The partial products are:

18 + 1.2 + 0.42

The sum: 19.62

Step-by-step explanation:

This has to do with understanding what place value is.

3 ones = 3 * 1 = 3

6 * 3 ones = 18

Step-by-step explanation:

dis. dis i need help with

Answers

Answer:

Not a function

Step-by-step explanation:

Doesnt pass a vertical line test!

what is the answer for y=5x + 2

Answers

Answer:

This equation is in slope intercept form. Are you asking for the graph or what?

Step-by-step explanation:

I need more information to answer

Jeff earns money mowing lawns. His earnings and hours worked represent a direct variation. He worked for 5 hours and earned $37.50. Determine the constant of proportionality for dollars earned per hours worked and for hours worked per dollars earned.

Answers

Answer:

Jeff earns $7.50 dollars per hour

Step-by-step explanation: Just divide $37.50 and 5.  

the game of checkers is played on a square board if the length of one side of the board is 4^2 inches what is the are in square inches

Answers

Answer:

256

Step-by-step explanation:

\begin{cases}b(1)=16\\\\ b(n)=b(n-1)+1 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ b(1)=16 b(n)=b(n−1)+1 ​ Find the 2^{\text{nd}}2 nd 2, start superscript, start text, n, d, end text, end superscript term in the sequence.

Answers

Answer:

17

Step-by-step explanation:

Dont listen to these bums

The second term in the sequence is 17.

What is arithmetic sequence?

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

Given the nth term of a sequence to be b(n)=b(n-1)+1, where n is the number of terms of the sequence

If b(1) = 16... (1)

The second term of the sequence is generated for n= 2:

b(n)=b(n-1)+1

b(2)=b(2-1)+1

b(2) = b(1)+1... (2)

Substituting equation 1 into 2

b(2) = b(1)+1

b(2) = 16 + 1 = 17

Hence, The second term in the sequence is 17.

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a, b, c, or d? i need helpsjdndnd

Answers

Answer:

d, I think

Step-by-step explanation:

absolute val of 5 is greater than absolute val of 4

Order from least to greatest: 6 squared, -5.25, 3/2 , 5

Answers

Answer:

-5.25, 3/2, 5, 36

This grid shows the location of four animals.

Where is Chewy located?

Answers

Answer:

We can't see the graph

Step-by-step explanation:

Uhh look at the # points like 123 ya know

Answer:

can't see graph

Step-by-step explanation:

Match each set of numbers with their least common multiple.

288 44 504 84 200 108


27, 12, and 36→______

25 and 8→______

14 and 12→_______

9, 8, and 7→______

22 and 4→______

32, 24, and 18→ _________

Answers

L.C.M of 27, 12 and 36 is 108

L.C.M of 25 and 6 is 200

L.C.M of 14 and 12 is 84

L.C.M of 9, 8 and 7 is 504

L.C.M of 22 and 4 is 44

L.C.M of 32, 24 and 18 is 288

What is least common multiple?

This the the smallest number that a certain group of numbers can divide without remainder.

Analysis:

The product of 27, 12 and 36 is 11664, which can only be divided by 108.

Therefore 108 is the L.C.M of the numbers.

The product of 25 and 8 is 200 which is only divisible by 200.

The product of 14 and 12 is `168 which is divisible by 84.

The product of 9, 8 and 7 is 504, which is divisible by 504

The product of 22 and 4 is 88 which is only divisible 44

The product of 32, 24 and 18 is 13824 which is only divisible by 288.

In conclusion, The L.C.M of the numbers are 108, 200, 84, 504, 44, 288 respectively.

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what is slope intercept equation of the line below

Answers

Answer: D. Y=-2x-1

Explanation:

What is the answer to this?

Answers

Answer:

C

High Hopes^^

Barry-

what is the difference between 4x and x4? evaluate both of these expressions when x = 2

Answers

Answer:

There is no difference. 4x and x4 are both meaning 4 times x and x times 4

Step-by-step explanation:

If x = 2, then 4 x 2 = 8.

x4 is the same thing

2 x 4 =  8

Note:

When the numbers are there together, without an operation, it means multiplication.

The value of the expression 4x is 8.

The value of the expression [tex]x^4[/tex] is 16.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4x and [tex]x^4[/tex]

For x = 2,

4x = 4 x 2 = 8

[tex]x^4[/tex] = [tex]2^4[/tex] = 2 x 2 x 2 x 2 = 16

Thus,

The values of the expression are 8 and 16.

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Hi.
I need to confirm if I am correct .

Approximate the following numbers to :
(I) 1 s.f (one significant figure)
(II) 2 s.f ( two significant figure)
(III) 3 s.f (three significant figure).

(a). 0.004816
(b). 50.00168
(c). 0.0009812​

Answers

Answer:

(a)

1 sig: 0.005

2 sig: 0.0048

3 sig: 0.00482

(b)

1 sig: 50

2 sig: 50.

3 sig: 50.0

(c)

1 sig: 0.0010

2 sig: 0.00098

3 sig: 0.000981

Step-by-step explanation:

Significant Figures Rules:

Any non-zero digit is significant.Any trailing zeros after the decimal is significant.Any zeros between 2 significant digits are significant.Zeroes before significant numbers in the decimal place are NOT significant; they are placeholders.

(a)

0.004816 - the zeros are placeholders, so they do not count as sig figs.

(b)

50.00168 - the zeros are between 2 significant figures, so they do count as sig figs.

(c)

0.0009812 - the zeros are placeholders, so they do not count as sig figs

2 triángulos congruentes son semejantes

Answers

Answer:

Spanish

Teorema: “ Si dos triángulos tienen sus dos ángulos correspondientes congruentes, entonces el tercero también será congruente y los triángulos son semejantes”. Teorema: “ Dos triángulos son semejantes si tienen un ángulo congruente comprendido entre lados proporcionales”.

English

Theorem: "If two triangles have their two corresponding angles congruent, then the third will also be congruent and the triangles are similar." Theorem: "Two triangles are similar if they have a congruent angle between proportional sides."

Step-by-step explanation:

Shontelle has soccer practice on Thursday evening. She has a half hour before practice to work on her math homework and talk to her friends. She has 20 math skill-work questions for homework, and she wants to complete them before talking with her friends. If she can solve three math problems in four minutes when she really focuses with no distractions, how many minutes will Shontelle have left after completing her math homework to talk to her friends.

Answers

Answer:

3 1/3 minutes or 3 minutes 20 seconds

Step-by-step explanation:

We can use ratios to see how long it will take her to complete her homework

3 problems     20 problems

----------------- = --------------

4 minutes        x minutes

Using cross products

3x = 4*20

3x= 80

Divide by 3

x = 80/3

x =26 2/3 minutes

She has 30 minutes

30 -26 2/3 = 3 1/3 minutes

3 minutes 20 seconds

Solve for x : ax+v=3(x-c)

Answers

Answer:

[tex]x=\frac{-3c-v}{a-3};\quad \:a\ne \:3[/tex]

Step-by-step explanation:

--expand--

ax+v=3x-3c

--subtract v from each side--

ax+v-v=3x-3c-v

--simplfy--

ax=3x-3c-v

--subtract 3x from both side--

ax-3x=3x-3c-v-3x

--simplfiy--

--factor--(factor out the x from ax-3)

[tex]x\left(a-3\right)=-3c-v[/tex]

[tex]\frac{x\left(a-3\right)}{a-3}=-\frac{3c}{a-3}-\frac{v}{a-3};\quad \:a\ne \:3[/tex]

[tex]x=\frac{-3c-v}{a-3};\quad \:a\ne \:3[/tex]

<3

Red

Please help me!!!!!!!!!!!!!!!

Answers

Answer:

  7)  (f+g)(x) = 4^x +5x -5

  8)  (f-g)(x) = 4^x +x +5

Step-by-step explanation:

7) add the two expressions.

  (f+g)(x) = f(x) +g(x) = (4^x +3x) +(2x -5)

  (f+g)(x) = 4^x +5x -5

__

8) subtract g(x) from f(x).

  (f-g)(x) = f(x) -g(x) = (4^x +3x) -(2x -5) = 4^x +3x -2x +5

  (f-g)(x) = 4^x +x +5

Which of the following types of numbers is irrational?

A.) a whole number
B.) fractions
C.) the number pi
D.) a decimal that terminates

Answers

Answer:

C

Step-by-step explanation:

the definition of an irrational number is an infinite decimal that has no repeating pattern. rational numbers can be converted into fractions.

A is incorrect because a whole number can be converted into a fraction.

      ex: 1 is also 3/3

B is incorrect because the definition of a rational number is that it can be converted into a fraction.

D is incorrect because a terminating decimal can be made into a fraction.

      ex: 4.5 is also 9/2

Answer:

D)

Step-by-step explanation:

A Irrational number is a decimal that terminates. I hope this helps! Please rate Brainiest!

-Aslina



solve 
P
=
144
p
y
P
=
144
p
y
for 
p
p

Answers

the difference of 10 and 5

Classify the angle pair as corresponding, alternate interior, alternate exterior, consecutive interior, consecutive exterior, vertical angles, or linear pair.


Answers may be repeated.





∠4 and ∠9\angle4\ and\ \angle9∠4 and ∠9


∠1 and ∠9\angle1\ and\ \angle9∠1 and ∠9


∠1 and ∠12\angle1\ and\ \angle12∠1 and ∠12


∠6 and ∠11\angle6\ and\ \angle11∠6 and ∠11


∠3 and ∠9\angle3\ and\ \angle9∠3 and ∠9


∠2 and ∠12\angle2\ and\ \angle12∠2 and ∠12


∠6 and ∠7\angle6\ and\ \angle7∠6 and ∠7


∠7 and ∠8\angle7\ and\ \angle8∠7 and ∠8


DRAG & DROP THE ANSWER

Corresponding Angles


Alternate Interior Angles


Alternate Exterior Angles


Consecutive Interior Angles


Consecutive Exterior Angles


Vertical Angles


Linear Pair

Answers

Answer:

Step-by-step explanation:

I need help



At her birthday​ party, Ms. Willow would not give her age directly. She​ said, 'If you add the year of my birth to this​ year, subtract the year of my 25th birthday and the year of my 55th ​birthday, and then add my present​ age, the result is 58​.

Answers

Answer:

69 years

Step-by-step explanation:

Given that:

Let year of birth = x

This year = 2020

Year of 25th birthday = x + 25

Year of 55th birthday = x + 55

Present age = 2020 - x

Hence,

x + 2020 - (x + 25 + x + 55) + (2020 - x) = 58

x + 2020 - (2x + 80) + (2020 - x) = 58

x + 2020 - 2x - 80 + 2020 - x = 58

-2x + 4040 - 80 = 58

-2x + 3960 = 58

-2x = 58 - 3960

-2x = - 3902

x = 1951

Birth year = 1951

,

Hence, age =

2020 - 1951 = 69 years

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