Which steps transform the graph of

y•x^2 to y = -2(x - 2)^2 + 2


Translate 2 units to the left, translate down 2 units, stretch by the factor 2


Translate 2 units to the right, translate up 2 units,stretch by the factor 2


Reflect across the x-axis, translate 2 units to the left, translate down 2 units, stretch by the factor 2

Translate 2 units to the right, reflect across x-axis, stretch by the factor 2, and translate up 2 units

Answers

Answer 1

Answer:

The correct option is the last one.

Step-by-step explanation:

To transform the graph of [tex]y = x ^ 2[/tex] into [tex]y = -2(x - 2) ^ 2 + 2[/tex] the following steps are fulfilled:

1) Move the graph 2 units to the right:

Let [tex]y = f (x-2)[/tex] then [tex]y =(x-2) ^ 2[/tex] Notice that the cut point has been moved to x = 2.

2) Reflect on the x axis:

To reflect a graph on the x-axis we do [tex]y = -f(x)[/tex] Then [tex]f (x) = -(x-2) ^ 2[/tex]

3) Stretch according to factor 2.

For this we do [tex]y = 2f(x)[/tex]

Then we have [tex]f(x) = -2 (x-2) ^ 2[/tex]

4) Move up the graph in two units:

We do [tex]y = f(x) +2[/tex]

Then [tex]y = -2(x-2) ^ 2 +2.[/tex]

These steps coincide with those listed in the last option. Therefore the correct option is the last one.

"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"

Answer 2
Final answer:

To transform the graph from y • x^2 to y = -2(x - 2)^2 + 2, you need to translate 2 units to the right, reflect across the x-axis, stretch by the factor 2, and translate up 2 units.

Explanation:

The correct steps to transform the graph of y•x^2 to y = -2(x - 2)^2 + 2 are:

Translate 2 units to the rightReflect across the x-axisStretch by the factor 2Translate up 2 units

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Related Questions

PLEASE HELP


What are the steps for using a compass and straightedge to construct a square?

 

Drag the steps and drop them in order from start to finish.


Construct a circle with point H as the center and a circle with point J as a center with each circle having radius HJ .

Construct horizontal ​ HJ¯¯¯¯¯

Construct a circle with point M as the center with radius MJ .

Label the point of intersection of the two circles above​ ​ HJ¯¯¯¯¯ ​​, point K, and the point of intersection of the two circles below ​ HJ¯¯¯¯¯ ​, point L.

Construct KL¯¯¯¯¯ , the perpendicular bisector of ​ HJ¯¯¯¯¯ ​, intersecting​ ​ HJ¯¯¯¯¯ ​ ​​at point M.

Construct HN¯¯¯¯¯¯ , NJ¯¯¯¯¯ , JO¯¯¯¯¯ , and OH¯¯¯¯¯¯ to complete square HNJO .

Label the point of intersection of circle M and ​ KL¯¯¯¯¯ ​ closest to point K, point N, and the point of intersection of circle M and ​ KL¯¯¯¯¯ ​  closest to point L, point O.

Answers

Answer:

To construct the Square using a compass and straight edge, you have written the steps not in proper order. I am rearranging the steps for you

1. Construct horizontal ​ H J¯¯¯¯¯

2. ​Construct a circle with point H as the center and a circle with point J as a center with each circle having radius HJ .

3.Label the point of intersection of the two circles above​ ​ HJ¯¯¯¯¯ ​​, point K, and the point of intersection of the two circles below ​ HJ¯¯¯¯¯ ​, point L.

4.Construct KL¯¯¯¯¯ , the perpendicular bisector of ​ HJ¯¯¯¯¯ ​, intersecting​ ​ HJ¯¯¯¯¯ ​ ​​at point M.

5.Construct a circle with point M as the center with radius MJ .

6.Label the point of intersection of circle M and ​ KL¯¯¯¯¯ ​ closest to point K, point N, and the point of intersection of circle M and ​ KL¯¯¯¯¯ ​  closest to point L, point O.

7.Construct HN¯¯¯¯¯¯ , NJ¯¯¯¯¯ , JO¯¯¯¯¯ , and OH¯¯¯¯¯¯ to complete square HNJO .





3 questions 40 points

Answers

The best graph that best fits your table is graph D.


For number 12, I don't see any graphs, but the graph would look like the graph I have below.

For number 11, A) y = 1/2x - 1 is correct. Here's the proof! (pic #2)

For number 10, the first graph is correct, here's the proof! (pic #3)

28 points to answer this questio(these are my last points please help)

Answers

Answer:

It is not direct variation.

Step-by-step explanation:

In a direct variation, each y value divided by its corresponding x-value gives the same quotient, which is the constant of variation. Let's try two y-values and their corresponding x-values.

11/7 = 1.571428...

13/8 = 1.625

Since the two quotients above are different, there is no constant of variation, and the relation is not direct variation.

Answer:

It is not direct variation.

Step-by-step explanation:

In a direct variation, each y value divided by its corresponding x-value gives the same quotient, which is the constant of variation. Let's try two y-values and their corresponding x-values.

11/7 = 1.571428...

13/8 = 1.625

Since the two quotients above are different, there is no constant of variation, and the relation is not direct variation.

Step-by-step explanation:

This makes sense what they put

please help asap 25 pts

Answers

Your answer will Be A.
A is your answer by following system of inequalities and get the final value

Hope it helps ...

100 points (,: giving brainliest too! please help?

Answers

2.  KL = LM

3.  Definition of midpoint

4.  L is the midpoint of KM

5. Transitive Property of Congruence

Monique made several batches of soup for a potluck supper. Each batch required 3/4 of a pound of potatoes, and she used a total of 6 1/2 pounds of potatoes. How many batches of soup did Monique make?

Answers

If Monique used a total of 6 1/2 pounds of potatoes and each batch required 3/4 of a pound of potatoes, then you have to divide the total amount of pounds by an amount of pounds needed for one batch:

[tex]6\dfrac{1}{2}:\dfrac{3}{4}=\dfrac{13}{2}\cdot \dfrac{4}{3} =\dfrac{26}{3}=8\dfrac{2}{3}.[/tex]

Answer: [tex]8\dfrac{2}{3}.[/tex]

Answer:

Step-by-step explanation:It’s B and E

Which graph represents the solution set of the compound inequality below? x + 3 < (4x – 12) < 20

Answers

x + 3 < 4x - 12                 or            4x - 12 < 20

-x         -x                                           +12  +12

     3 < 3x - 12                 or           4x        < 32

   +12       +12                               ÷4           ÷4  

    15 < 3x                       or              x        <  8

   ÷3    ÷3

    5 <  x

5 < x < 8

Graph:   5 o---------------o 8



Answer:

5<x<8

Step-by-step explanation:

x + 3 < (4x – 12) < 20

Solve the inequality

x + 3 < 4x – 12 < 20

We break the inequality

x+3<4x-12  and 4x-12<20

solve it separately

x+3<4x-12

subtract 4x on both sides

-3x +3< -12

subtract 3 on both sides

-3x < -15

divide by -3 on both sides

x> 5

4x-12<20

add 12 on both sides

4x <32

divide by 4

x<8

x>5  and x<8

so x lies between 5  and 8, 5<x<8

the graph is attached below

Select the property that this number sentence illustrates:

2 × 3 = 3 × 2
A.
associative property of addition
B.
associative property of multiplication
C.
commutative property of addition
D.
commutative property of multiplication

Answers

Answer:

D. Commutative Property of Multiplication

Step-by-step explanation:

Commutative Property of Multiplication states that two numbers can be multiplied in either order.

For this case we have to:

By definition, the commutative property of the multiplication establishes that, the order of the factors does not alter the product, that is to say:

[tex]a * b = b * a\\[/tex]

Therefore the expression given by:

[tex]2*3 = 3*2[/tex] represents:

The commutative property of multiplication

Answer:

Option D

Casey has a total of $2.55 cents in dimes and quarter. If she has eight fewer quarters than dimes, how many of each coin does she have ?

Answers

5 quarters and 13 dimes

The hypotenuse of a right triangle measures 58 cm and one of its legs measures 42 cm. What is the length of the missing leg? 10 cm 16 cm 40 cm 71 cm

Answers

if the hypotenuse is 58cm, and one of the others legs is 42cm the answer would be 40cm

Explanation:

Here you have to use the formula

[tex] {a}^{2} + {b}^{2} = {c}^{2}[/tex]
Then you have to pose the formula in terms of one of the legs, so:

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex]a = \sqrt{ {c}^{2} - {b}^{2}}[/tex]
So when you change the letter for numbers you have that:

[tex]a = \sqrt{ {58}^{2} - {42}^{2} }[/tex]

a=40

What is the mode of the following numbers?

2, 5, 11, 7, 5

Answers

5 is the mode because wit occurred the most often

The mode of this set of numbers is 5.

The mode of a set of numbers, is the most common/frequent number within the set. Since there are two 5's but only one of each other number. Thus making 5 the mode.

Which angle corresponds to <7?
A. <1
B. <3
C. <4
D. <6

Answers

B.

Use the photo for future references.

Based on the parallel lines, an angle that corresponds to ∠7 include the following: B. ∠3.

What are corresponding angles?

In Mathematics and Geometry, corresponding angles theorem is a theorem which states that corresponding angles are always congruent when the transversal intersects two parallel lines:

This ultimately implies that, the corresponding angles will be always equal (congruent) when a transversal intersects two parallel lines.

By applying corresponding angles theorem to the two parallel lines, we have the following congruent angles:

m∠3 ≅ m∠7

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Write as an equation.

60 is 2 more than the product of 5 and N

A. 60=2+5+N
B. 60=2N+5
C. 60=2+5N
D. 60=2+5/N

Answers

If 60 is 2 more than the product of 5 and N:

The product of 5 and N is when they are multiplied, so 5N is going to be part of the equation.

We know that 60 is 2 more than 5N, so 5N + 2 would be 60.

We can make an equation with this:

60 = 2 + 5N

Therefore, the equation would be 60 = 2 + 5N.

Hope this helps! :)

The equation that can be used to depict the information 60 is 2 more than the product of 5 and N will be 60 = 2 + 5N

From the information given, 60 is 2 more than the product of 5 and N and this will be written as 60 = 2 + 5N.

To further solve the equation, we can solve for N and this will be:

60 = 2 + 5N

Collect like terms

5N = 60 - 2

5N = 58

N = 58/5

N = 11.6

Therefore, the value of N will be 11.6.

In conclusion, 60 is 2 more than the product of 5 and N and this will be written as 60 = 2 + 5N.

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Given 5x3+8x2−7x−6. 1) The binomial (x+2) is a factor of the polynomial expression. Describe how you know it is a factor. 2) The binomial (x+1) is NOT a factor of the polynomial expression. Explain how you know it is not a factor.

Answers

ANSWER TO QUESTION 1


Given


[tex]f(x)=5x^3+8x^2-7x-6[/tex]


We can use the factor theorem to determine if



[tex]x+2[/tex] is a factor of the polynomial or not.



According to this theorem, if [tex]x+2[/tex] is a factor of [tex]f(x)[/tex], then [tex]f(-2)=0[/tex].



How did we get the [tex]-2[/tex]?


We set [tex]x+2=0[/tex] and then solve to obtain [tex]x=-2[/tex].



So now let us plug in [tex]x=-2[/tex] in to the function to see if it will simplify to zero.


[tex]f(-2)=5(-2)^3+8(-2)^2-7(-2)-6[/tex]



[tex]f(-2)=5(-8)+8(4)+7(2)-6[/tex]



[tex]f(-2)=-40+32+14-6[/tex]




[tex]f(-2)=6-6[/tex]



[tex]f(-2)=0[/tex]



Since the result simplifies to zero, we conclude that


[tex]x+2[/tex] is a factor of

[tex]f(x)=5x^3+8x^2-7x-6[/tex]




ANSWER TO QUESTION 2


We have the function,


[tex]f(x)=5x^3+8x^2-7x-6[/tex]


We can use the remainder theorem to show that



[tex]x+1[/tex] is NOT a factor of the polynomial.



According to this theorem, if [tex]x+1[/tex] is not a factor of [tex]f(x)[/tex], then [tex]f(-1)\ne 0[/tex].




So now let us plug in [tex]x=-1[/tex] in to the function to see if it will simplify to non-zero number.


[tex]f(-1)=5(-1)^3+8(-1)^2-7(-1)-6[/tex]



[tex]f(-1)=5(-1)+8(1)+7(1)-6[/tex]



[tex]f(-1)=-5+8+7-6[/tex]




[tex]f(-1)=4[/tex]



[tex]f(-1)\ne0[/tex]



Since the result simplifies to a non zero number, we conclude that


[tex]x+1[/tex] is NOT a factor of

[tex]f(x)=5x^3+8x^2-7x-6[/tex]












Please help find the percent of increase?!

Answers

Subtract to find the difference:

2000 - 500 = 1500

Divide the difference by the original population:

1500 / 500 =  3

Multiply that by 100 to get the percentage:

3 x 100 = 300%

A coat that usually cost $120.00 is marked 1/3 off. What is the sale price of the coat

Answers

1/3 of $120.00 is $40.00, therefore the sale price will be $80.00 :-) xxx

The price of the coat with 1/3 of the price marked off is $80.00

The mailman delivered a $22 check and three bills for $ 14 each today .What is the total in the mailbox?

Answers

HE WOULD HAVE 64$ IN TOTAL

Answer:

-64

Step-by-step explanation:

its actually, -64 not 64.

If an = n(n+2), what is a9?


20


99


108


120

Answers

[tex]a_{n} = n(n + 2) \\ a_{9} = 9(9 + 2) = 99[/tex]

 

an = n(n+2)⇒  a9 = 9(9+2) = 9 × 11 = 99

What is the change in value of the 5 digit in these two numbers? 658 201 and 675 201

Answers

The change in value of the 5th digit is, 2.

50,000 to 70,000. Which is an addition of 20,000

An irrational number in-between 7.7 and 7.9

Answers

Best Answer:

7.8
































































Whats an irrational number again?

Use distributive property to rewrite problem so it had only two factors. Then solve (25x9)+(75x9)=

Answers

ANSWER

[tex](25\times9)+(75\times9)=9(25+75)[/tex]


[tex](25\times9)+(75\times9)=9(100)[/tex]


[tex](25\times9)+(75\times9)=900[/tex]


EXPLANATION


According to the distributive property,

[tex](a\times b)+(a\times c)=a(b+c)[/tex]

This implies that,

[tex](25\times9)+(75\times9)=9(25+75)[/tex]


[tex](25\times9)+(75\times9)=9(100)[/tex]

The Right Hand Side of the equation now has 2 factors.


We solve now to obtain;


[tex](25\times9)+(75\times9)=900[/tex]



Final answer:

The distributive property allows you to factor out a common factor from both terms in an equation. In this case, you can rewrite the expression (25x9)+(75x9) using the distributive property as 9*(25+75), which simplifies to 9*100 or 900.

Explanation:

The distributive property in mathematics is a property where each term inside a bracket is multiplied by the term outside the bracket. We can use the distributive property to rewrite the given expression (25x9)+(75x9).

First, recognize that both terms in the equation have a common factor of 9. By applying the distributive property, you can factor out the common factor of 9 to get 9(25 + 75). Next, simplify the expression inside the parentheses (25 + 75) to get 100. So, your expression is now 9*100. Finally, multiply 9 by 100 to get 900. So, (25x9)+(75x9) = 900.

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In an auditorium there are 9 rows of seats with 18 seats in each row. There are also 6 rows of seats with 24 seats in each row. How many seats are there I'm the auditorium

Answers

Answer:

306 seats

Step-by-step explanation:


Final answer:

The total number of seats in the auditorium is calculated by multiplying the number of rows by the number of seats in each row for both sets of rows, then adding both totals together. The total comes to 306 seats.

Explanation:

This is a mathematics question focused on multiplication and addition, which are key fundamentals in arithmetic, often covered in middle school. To find the total number of seats in the auditorium, you need to multiply the number of rows by the number of seats in each row, then add these numbers together.

For the first part, there are 9 rows with 18 seats in each. By multiplying these numbers (9 * 18), we get 162.
For the second part, there are 6 rows with 24 seats in each. By multiplying these numbers (6 * 24), we get 144.

Then, to find the total number of seats in the auditorium. we add these two numbers together (162 + 144), which equals 306. Therefore, there are 306 seats in the auditorium.

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The complete question is here:

In an auditorium there are 9 rows of seats with 18 seats in each row. There are also 6 rows of seats with 24 seats in each row. How many seats are there in the auditorium?

An animal shelter currently has 27 dogs and 23 cats. What is the ratio of cats to animals

Answers

Answer:

Ratio of Cats to animals [tex]\frac{23}{50}[/tex]

Step-by-step explanation:

Total animals in the shelter = Total number of dogs + Total number of Cats

                                              =[tex]27+23[/tex]

                                              =[tex]50[/tex]

Ratio of Cats to animals        = Number of Cats / Total animals

                                               =[tex]\frac{23}{50}[/tex]

Ford is the coach of a local baseball team that is currently losing by two runs. They are getting ready to take the field to start the bottom of the eighth inning. In the past, when losing by two runs, he has replaced the starting pitcher with a relief pitcher a total of 25 times in the eighth inning of the game. When in the same position, he has left the starting pitcher in the game 15 times.

In the situations when he has replaced the pitcher, they have lost 14 times and won 11 times. In the situations when he has left the starting pitcher in the game, they have lost 8 times and won 7 times.

Based on these numbers, if the goal is to win the game, should he replace the pitcher or not?
A.
Ford should leave the starting pitcher in the game.

B.
There is not enough information to determine if he should replace the pitcher or not.

C.
Ford should replace the pitcher.

D.
Neither option has any advantage.

Answers

Answer: A: Ford should leave the starting pitcher in the game.

I just used the other answer provided and it was wrong, at least on study island it was wrong.

Clint picks 13 apples. Tim picks 5 fewer apples than clint picks. How many apples does clint pick

Answers

Final answer:

To find out how many apples Clint picked, we need to first determine how many apples Tim picked. Clint picked 13 apples.

Explanation:

To find out how many apples Clint picked, we need to first determine how many apples Tim picked. It is given in the question that Tim picked 5 fewer apples than Clint.

So, we can subtract 5 from Clint's total apples to get Tim's total apples.

Next, to find Clint's total apples, we can add the number of apples Tim picked to the 5 fewer apples. This will give us Clint's total apples.

Let's solve the problem step-by-step:

Clint picked 13 apples.

Tim picked 5 fewer apples than Clint, which is 13-5 = 8 apples.

Clint's total apples = Tim's apples + 5 fewer apples = 8 apples + 5 apples = 13 apples.

Therefore, Clint picked 13 apples.

The side-by-side boxplots show the ages of all Oscar winners for Best Actress (females) and Best Actor (males). What percentage of Best Actress winners (among females) lie between Q1 = 28 and Q3 = 41?
    
  A. 25%
  B. 12%
  C. 50%
  D. 75%

Answers

The first quartile Q1 shows a partition of the first 25% of the data. In the same way the quartile Q3 shows a partition of 75% of the data.

Then, the difference Q3-Q1, also called the interquartile range shows the central 50% of the data.

Therefore the answer is option C:

The percentage of Best Actress winners (among women) between Q1 = 28 and Q3 = 41 is 50%.

Answer: Option C

Step-by-step explanation: i Just Took The Test

How did speculative investing weaken the stability of the stock market

Answers

I recommend Socratic

approximate the number using a calculator 6^2.8

Answers

When you approximate 6 raised to the power of 2.8, you get a result of approximately 177.83 (rounded to two decimal places).

To approximate the number 6 raised to the power of 2.8 using a calculator, follow these steps:

1. Turn on your calculator and make sure it is in standard mode.
2. Enter the base number, which is 6.
3. Look for the exponent key on your calculator, which is usually denoted by the "^" symbol or a button labeled "Exp" or "EE".
4. Enter the exponent value, which is 2.8.
5. Press the equals "=" button to calculate the result.

Now, let's calculate it together:

6^2.8 ≈ 177.827941

Therefore, when you approximate 6 raised to the power of 2.8, you get a result of approximately 177.83 (rounded to two decimal places).

Keep in mind that different calculators may vary slightly in their display of decimal places, so the exact result may differ slightly depending on the calculator you are using.

Otylia simplifies the expression 4y + y to 4y2. Use the drop-down menus to complete the statements below to explain why Otylia's solution is correct or incorrect.

Answers

Hi, the answer is this...

Otylia's solution is: Incorrect

Because 4y+y is the same as 4y+1y

4y2 is the same as 4y x y

4y+y simplifies to 5y

Answer:

Otylia's solution is incorrect

Correct solution is 5y

Step-by-step explanation:

Otylia simplifies the expression 4y + y to 4y^2.

LEts simplify the expression 4y+y and check with Otylia's solution

4y and y are like terms

y or 1y are same

4y and 1y are like terms

To combine like terms, we add only the coefficient of y

So 4y + 1y = 5y

Otylia simplifies the expression 4y + y to 4y^2

4y^2 is not correct. So Otylia's solution is incorrect

The table below represents the relationship of the amount of snowfall ( in inches) in 5 cities to the amount of time
(in hours) of a recent winter storm.

Answers

5 time + 3 + 9.5 Plus + 6 + 12 + 18 + 28 + 27 + 7

Answer:

its c

Step-by-step explanation:

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