Use the transformations of the graph of f(x) = x^2 to determine the graph of the function. h(x) = -(x+2)^2

Answers

Answer 1

Answer:

Step-by-step explanation:

The graph f(x) = x^2 is shifted along the OX axis to the left by 2 and reflected relative to this axis:

Use The Transformations Of The Graph Of F(x) = X^2 To Determine The Graph Of The Function. H(x) = -(x+2)^2

Related Questions

What will the new demensions of the rectangle below be after a dilation within scale factor of 9\4

Answers

Answer

The new dimensions of the rectangle after dilation by scale factor of (9/4) include

New length = 72 feet

New width = 18 feet

Explanation

The relationship between new length, original length and scale factor of dilation is given as

New length = (Original length) × (Scale factor)

For this question,

Scale factor = (9/4)

Original length = 32 feet

New length = (Original length) × (Scale factor)

New length = 32 × (9/4) = 72 feet

New width = (Original width) × (Scale factor)

Original width = 8 feet

Scale factor = (9/4)

New width = (Original width) × (Scale factor)

New width = 8 × (9/4) = 18 feet

Hope this Helps!!!

what undoes the Sine function

Answers

In this problem we have that

In the given right triangle

sin(x)=15/24 ------> by opposite side divided by the hypotenuse

using a calculator

x=38.68 degrees

sin(x)=15/24 ------> simplify

sin(x)=5/8

Before solving any of the following problems: identify the variables that are given and which one is unknown. Then solve the problem, rounding to two decimal places. 7) Tyrone deposits his yearly bonus of $1000 into an account that earns 2% interest compounded annually . How much will he have in the account after 20 years of working at his job?

Answers

Explanation

For a sum compounded annually, the Annuity formula is given by:

[tex]\begin{gathered} A=P\times\frac{1-(1+r)^{-n}}{r} \\ \\ where\text{ P =Initial deposit =\$1000} \\ r=rate\text{ of interest=2 \% =0.02} \\ n=the\text{ number of years compounded =20} \end{gathered}[/tex]

Thus, we will compute the amount that will be in his account as:

[tex]A=1000\times\frac{1-(1+0.02)^{-20}}{0.02}[/tex][tex]\begin{gathered} A=1000\times\frac{0.3270}{0.02} \\ \\ A=16351.43 \end{gathered}[/tex]

Therefore, after 20 years, he will have had the sum of $16351.43 in his account

this box is packed with cubes that measure one cubic footenter the volume of the box in cubic feer

Answers

The box has the shape of a cuboid.

The volume of the box is given by the formula:

[tex]\text{ volume = length}\times\text{ width}\times\text{ height}[/tex]

We now find the number of cubes that make up the length, width, and height

[tex]\begin{gathered} \text{length = 6 ft.} \\ \text{width = }3\text{ ft.} \\ \text{height = 4 ft.} \end{gathered}[/tex]

Hence, the volume of the box can be calculated by:

[tex]\begin{gathered} \text{ volume = 6 ft. x 3 ft. }\times\text{ 4ft.} \\ \text{ volume = 72 ft}^3 \end{gathered}[/tex]

Therefore, the volume is 72 ft³

need help with both lots of points show work

Answers

The mistake in Mike's steps is in step3 and the correct solution is 10x/3 - 2 = y

The solution of the equation is given as:

10x - 3y = 6

     + 3y     +3y

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

10x = 3y + 6

-6            - 6

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

(10x - 6)/3 = 3y/3

10x - 2 = y

In the above steps, we have the following equation

(10x - 6)/3 = 3y/3

When the above equation is expanded, we have

10x/3 - 6/3 = 3y/3

10x/3 - 2 = y

The above equation is different from Mike's result.

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The graph of a function h is shown below. Find h(-1) and find one value of x for which h(x) =5

Answers

We have the graph of the function h.

First, we must find h(-1)

To find h(-1) we must see which value takes the function when x = -1

In this case

We can see that when x = -1, the function is equal to 2.

So,

[tex]h(-1)=2[/tex]

Second, to find one value of x for which h(x) = 5 we must see which value takes x when the function is equal to 5.

In this case

We can see when h(x) = 5, x takes the value of 1.

So,

[tex]\text{ One value of x for which h(x) = 5 : }1[/tex]

Which number line shows the inequality n < -1? {++ -5-4-3-2 -1 0 1 2345 {++++++ -5-4-5-2-10 1 2 395 {+++++ -5-4-5-2 -1 0 1 2 3 日 5 +++++++++ -5-4-3-2 -1 0 1254 5

Answers

Given:

[tex]n\leq-1[/tex]

Since n is greater or equal to -1, we are to use a closed dot.

To draw the number line, make a closed circle at point -1, and move the red line left (because n is less than or equal to -1).

Therefore the number line that shows the inequality is the third number line.

The diagram is below

Korey’s comic book store has been up and running for 4 years. Korey feels that his store has been successful and is considering moving to a larger property to allow for greater inventory and customer opportunities in his business. He would like investors to cover the cost of his expansion. The profits of Korey’s comic book store for its first four years are outlined below. According to this information, what would be the best estimate for Korey to quote as expected profits in the next year in his new business plan? Year Net Profits 1 $14,250.00 2 $15,390.00 3 $16,621.20 4 $17,950.90 5 a. $20,550.19 b. $19,090.90 c. $19,280.60 d. $19,386.97

Answers

The next year's expected profit to quote is $19,386.97

Given,

Net profit for 1st year = $14,250

Net profit for 2nd year = $15,390

Net profit for 3rd year = $16,621.21

Net profit for 4th year = $17,950.90

We have to find the expected profit in the next year.

For that, first we have to find the profit percentage of 4 years.

Profit % for 1st year =( 15,390 - 14,250 )/14250 × 100 = 0.08 × 100 = 8%

Profit % for 2nd year =( 16,621.21 - 15,390 )/15,390 × 100 = 0.08 × 100 = 8%

Profit % for 3rd year =( 17,950.90 - 16,621.21)/16,621.21 × 100 = 0.08 × 100 = 8%

So the profit percentage is consistent for the years.

Then we can find next years profit by;

Net profit for 4th year × 1.08 = 17,950.90 × 1.08 = 19,386.97

That is,

The next year's expected profit to quote is $19,386.97

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Answer:

d. $19,386.97

help meeeeeeeeeeeeeeeeeee please

Answers

Answer: 539.9

Step-by-step explanation: Since 2004 is our starting year, 9 years have passed since 2004 and 2013. 9 would be the “x” in the equation.

y = 20.1(9) + 359

y = 180.9 + 359

y = 539.9

2. What is the solution point for the system below?

Answers

Answer

The point of intersection is the solution point for the system equation

The point of intersection is the solution

The final answer

x = 4

y= -3

[tex](x,y)=(4,-3)[/tex]

Kevin and Randy Muise have a jar containing 53 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $5.65. How many of each type
of coin do they have?
The jar contains
The jar contains
quarters.
nickels.

Answers

The number of quarters and nickles, Kevin and Randy Muise have a jar containing 53 coins, is 15 quarters and 38 nickles.

What is described as the linear equation in two variables?A linear equation in 2 factors is one that is written in the form ax + by + c=0, where a, b, and c are real numbers as well as the coefficients of x and y, i.e. a and b, are not equal to zero.

Let 'x' be the number of quarters.

Let 'y' be the number of nickels.

The total number of coins in a jar are 53.

x + y = 53    

x = 53 - y   .....eq 1

The total value of the coin is $5.65.

1 doller = 0.25 quarters.

1 doller = 0.05 nickle.

Thus,

0.25x + .05y = 5.65

Multiply both sides by 100 to remove the decimal points.

25x + 5y = 565

Put the value of x from eq 1.

25(53 - y) + 5y =  565

1325 - 25y + 5y = 565

-20y = -760

y = 38

x = 53 - y = 53 - 38

x = 15 quarters

Thus, the number of quarters and nickles Kevin and Randy Muise have a jar containing 53 coins, is 15 quarters and 38 nickles.

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15. Tarik's solution for the inequality 10 - 4x > 2 is shown below. Whichstatement about Tarik's solution is correct?

Answers

The given inequality is

[tex]10-4x>2[/tex]

First, we subtract 10 from each side.

[tex]\begin{gathered} 10-10-4x>2-10 \\ -4x>-8 \end{gathered}[/tex]

Then, we divide the inequality by -4.

[tex]\begin{gathered} \frac{-4x}{-4}<\frac{-8}{-4} \\ x<2 \end{gathered}[/tex]Hence, the solution is all real numbers less than 2.Therefore, Tarik's solution is not correct because he did not reverse the inequality.The first option is correct.

Given the sequence: 1,-4, 9, -16, ... The next term is 25.TrueFalse

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it's true

the next term is 25

Anyone know the answer

Answers

P(x) = (x4+2x3-7x2+4x) = 0.1 or an expression of more than two algebraic terms, particularly the sum of numerous phrases that contain different powers of the same variable, p(x)=0.1 x4 + 0.2 x3 - 0.7x2 + 0.4x (s).

What is polynomials?

Zero polynomial function, linear polynomial function, quadratic polynomial function, and cubic polynomial function are the four most prevalent types of polynomials used in precalculus and algebra.

For instance, the polynomial 2x+5 has an exponent of 1.

The following are a few illustrations of each kind of polynomial function:

continuous operation. Example: The linear polynomial function y = 1. For instance, the quadratic polynomial function 5y + 10 Consider the Cubic Polynomial Function 14x2 + 2x – 6. Example: Quartic polynomial function 4y3 + 5y2 + 2. Eg: 3y4 + 5

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Suppose a < -1. What must be true about the value about the value of b so that ab< a?-1 < b < 00 < b < 1b < -1 b > 1

Answers

ANSWER

b > 1

EXPLANATION

Suppose that a < -1.

We need to find the value of b such that:

a * b < a

This means that:

a * b < -1

For this to be possible, b must first be a positive number. Because if b is negative, then:

a * b > 0

Which would mean that a * b is greater than a.

For b to be a positive number that satisfies the inequality, then b cannot be less than 1. This is because if b is less than 1, then:

a * b > a

Therefore, b must be a positive number that is greater than 1.

This means that:

b > 1

A plane traveled 880 miles to Ft. Worth and back. The trip there was with the wind. It took 11hours. The trip back was into the wind. The trip back took 20 hours. What is the speed of theplane in still air? What is the speed of the wind?Please help:):):)

Answers

Let the following variables represent the velocities of the plane and the wind:

[tex]\begin{gathered} \text{Velocity of the plane: }v_p \\ \text{Velocity of the wind: }v_w \end{gathered}[/tex]

When the plane travels with the wind, the total velocity is the sum of both velocities. When the plane travels against the wind, the resulting velocity will be the difference of both velocities.

When the plane travels with the wind, the following condition is satisfied:

[tex]v_p+v_w=\frac{880\text{ miles}}{11\text{ hours}}[/tex]

When the plane travels against the wind, the following condition is satisfied:

[tex]v_p-v_w=\frac{880\text{ miles}}{20\text{ hours}}[/tex]

This is a 2x2 system of equations. To solve it by the elimination method, add both equations:

[tex](v_p+v_w)+(v_p-v_w)=\frac{880\text{ miles}}{11\text{ hours}}+\frac{880\text{ miles}}{20\text{ hours}}[/tex][tex]\begin{gathered} \Rightarrow v_p+v_w+v_p-v_w=\frac{880\text{ miles}}{\text{hour}}(\frac{1}{11}+\frac{1}{20}) \\ \Rightarrow2v_p=\frac{880\text{ miles}}{\text{ hour}}(\frac{31}{220}) \\ \Rightarrow2v_p=124\cdot\frac{\text{miles}}{\text{hour}} \\ \Rightarrow v_p=62\cdot\frac{\text{ miles}}{\text{ hour}} \end{gathered}[/tex]

Solve for the velocity of the wind from the first equation:

[tex]\begin{gathered} v_w=\frac{880\text{ miles}}{11\text{ hours}}-v_p \\ =\frac{880\text{ miles}}{11\text{ hours}}-62\cdot\frac{\text{miles}}{\text{hour}} \\ =18\cdot\frac{\text{miles}}{\text{hour}} \end{gathered}[/tex]

Therefore, the velocity of the plane is 62 miles per hour and the velocity of the wind is 18 miles per hour.

Solve the following equation in two different ways. Explain what you did differently.
5(x + 2) = 45
5(x + 2) = 45

Answers

The following equations can be solved in two different ways

On solving the equation we get the value as [tex]x=7[/tex]

What is an equation?

An equation is a formula that represents the equality between two expressions.

Method 1) : We are given an equation

[tex]5(x+2)=45[/tex]

Divide both sides by 5, we get

[tex]x+2=9[/tex]

Subtracting 2 from both sides we get,

[tex]x=7[/tex]

Method 2)

We are given an equation

[tex]5(x+2)=45[/tex]

On simplifying the equation we get

[tex]5x+10=45[/tex]

Subtracting 10 from both sides

[tex]5x=35[/tex]

Dividing both sides by 5 we get

[tex]x=7[/tex]

In the first method we first perform division then subtraction and in the second method we simplify the right side of the equation then subtract 10 and finally divide by 5.

Hence We solve the equation by 2 ways And in both cases we get the answer as 7

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the table below shows the number of computers or laptops owned by ten different families on the back of this paper create a line plot displaying the data 3 ,2,4,1,5,3,1,2,3,3

Answers

Families and computers

Graph a line plot

what is the general formula for quadratic equation​

Answers

Answer:

ax^2 + bx + c = 0

Step-by-step explanation:

a, b, are the coefficients, c is the constant term, and x is the variable

Hope that helps

please tell me what I'm doing wrong. I'm still not understanding the subject after 1 hour of practicing.

Answers

[tex]x\text{ = -4 or -8}[/tex]

Here, we want to aolve for the value of x

We proceed by cross-multiplying

We have this as follows;

[tex]\begin{gathered} \frac{1}{x+3}\text{ = }\frac{x+10}{x-2} \\ \\ 1(x-2)\text{ = (x+3)(x+10)} \\ x-2\text{ = x(x+10) + 3(x+10)} \\ x-2=x^2+10x+3x+30 \\ x-2=x^2+13x+30 \\ x^2+13x-x+30+2\text{ = 0} \\ x^2+12x+32\text{ = 0} \\ x^2+4x+8x+32\text{ = 0} \\ x(x+4)\text{ + 8(x+4)= 0} \\ (x+4)(x+8)\text{ = 0} \\ x\text{ + 4 = 0 or x + 8 = 0} \\ x\text{ = -4 or -8} \end{gathered}[/tex]

MATH please solve it now and let it be correct please i am dropping 30 points so please help me

Answers

The matrix X is [tex]X = A^{-1} B[/tex]

What are invertible matrix?

A square matrix is invertible if and only if the determinant is not equal to zero. A n × n matrix is only invertible if the determinant of the matrix is not zero and has inverse. If the determinant is zero, then the matrix is not invertible and has no inverse.

Given that the two matrix A, B are invertible, therefore the inverse of the matrix exists.

Now given that,

AX = B                 …(1)

Multiplying [tex]A^{-1}[/tex] on both the side of the equation (1), we get

[tex]A^{-1} A X = A^{-1} B[/tex]

We know that [tex]AA^{-1} = 1[/tex]

⇒ [tex]X = A^{-1} B[/tex]

Therefore, the matrix will be [tex]X = A^{-1} B[/tex]

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What is the explicit formula for this sequence?
-9, -3, 3, 9, 15,

A. an= (-9) + (n − 1)(-6)
B. an=6+ (n − 1)(-9)
C. an=21+ (n-1)6
D. an= (-9) + (n-1)6

Answers

The explicit formula for this sequence exists as = (-9) + (n-1)6

Explain about the explicit formula ?

We can use an explicit formula, as previously discussed, to determine the nth term in a series. The simplest meaning of explicit is precise or unambiguous. The reason the formula is explicit is that, if properly used, it can be used to find the nth term.

An arithmetic sequence can be expressed explicitly as a = a + (n - 1)d, and each term of the sequence can be computed without knowledge of the other parts. The nth term of an arithmetic, geometric, or harmonic series is usually the explicit formula.

Given: -9, -3, 3, 9, 15. ​

Because it is an arithmetic series, the supplied sequence.

Therefore, there is no difference between two consecutive terms.

For example, 3-(-3)=6 and (-3)-(-9)=6.

The nth term is now equal to a+(n-1)d.

as, a=-9

So, = -9+(n-1)6

= -9+6n-6

= 6n-15

so that =-9+(n-1)6.

The answer is option D

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find the domain and range of the graph below

Answers

Answer:

DOMAIN: (-∞,-2)U(-2,∞) RANGE (-∞,-4)U(-4,∞)

Step-by-step explanation:

Domain x values

(-∞,-2)U(-2,∞)

Range y values

(-∞,-4)U(-4,∞)

What is the slope of this line?
6
10

Answers

Answer: 0.6

Step-by-step explanation:

m = 6/10

m = 0.6

this is very hard for me

Answers

Answer:sorry Im lazy XD but try method down below

Step-by-step explanation:

Try this.

The order or operations which is

1 Parentheses

2 Exponents

3 Multiplication

4 Division

5 Addition

6 Subtraction

Should help find answer. Good luck!

Answer:-39

step- by-step:Subtract the terms12−(1+2(−(−5))2)

Multiplying or dividing an even number of negative terms equals a positive12−(1+2×52)

SimplifyMore Steps 12−(1+50)

Add the numbers12−51

Solution is −39

QUESTION 4One hundred twenty sixth graders are going on a field trip toSea World. The ratio of chaperones to students must be 1:10.How many chaperones are needed for the trip?A) 12B) 13C) 14D) 15

Answers

We can express the ratio of chaperones to students 1 : 10 as a fraction, like this:

[tex]\frac{1}{10}[/tex]

By multiplying the number of students by the above ratio, we get the number of needed chaperones, like this:

[tex]126\times\frac{1}{10}=\frac{126\times1}{10}=\frac{126}{10}=12.6[/tex]

Rounding to the nearest integer, the number of chaperones needed for the trip is 13

Help me out please, been struggling and I would appreciate some help.

Answers

By using the given diagram, we can see that the ordered pair that represents point B is (-4, 0)

Which ordered pair represents B?

Any point on a coordinate plane has a ordered pair associated to it, that tells us the location of the point (x, y).

For example, the intersection between the two axes is the point (0, 0).

The first value, x, represents the horizontal displacement, the second variable, y, represents the vertical displacement.

Here we can see that B is 4 units to the left of the center, then the ordered pair that represents point B is (-4, 0)

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A park designer wanted to place a fountain so that it was close to the slide. He was given two distances as an option 1 3/4 feet or 1 5/12 feet from the slide.
Which distance is closer to the slide? Show your work to compare the two distances

Answers

Answer:

200 ft

Step-by-step explanation:

you trie it might help

hope it helps god is with u

5x2 and 6x4 in lowest terms

Answers

The lowest term of 5*2 is 10

The lowest term of 6*4 is 24

How are the lowest terms calculated?

1.  5 * 2

Multiplying 5 and 2 ,

The lowest term of 5*2 is  10

2.  6*4

Multiplying 6 and 4 ,

The lowest term of 6*4 is  24

What is multiplication?

Finding the product of two or more numbers is done by multiplication. The fundamental concept of making the same number additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors. The process of repeatedly adding the same number is made simpler by multiplication.

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If you want to cut 24 two-foot braces, how many boards of the length shown below would you need? 12 ft A. 4 B. 6 C. 12 D. 24

Answers

We will have that we will need the following number of boards:

We can see that each board can be used to obtain 6 two-foot braces.

So, we will need:

[tex]x=\frac{1\cdot20}{6}\Rightarrow x=\frac{10}{3}\Rightarrow x\approx3.33[/tex]

So, we will need 4 boards.

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a state government borrows $2,000,000 at simple annual interest. some of the money is borrowed at 6%, some at 7.5%, and some at 8.5%. use a system of linear equations to determine how much (in dollars) is borrowed at each rate given that the total annual interest is $141,250 and the amount borrowed at 7.5% is four times the amount borrowed at 8.5%. solve the system of linear equations using matrices. at 6% $ at 7.5% $ at 8.5% $ Select all that apply power = _____A. Work time B. t / F x dC. F x t/ tD. F x d/ tE. Work/time Whats infinity minus infinity? 3. America felt the need to compete with who? what continent is 90S, 90E this is an example of a gas How do today's continents provide evidence for the theory of plate tectonics? Which function is increasing?A.f(x)=(0.5)^xB.f(x)=5*xC.f(x)=(1/15)^xD.f(x)=(1/5)^x A turtle moves at a speed of 1.0 km/h. How fast is the turtlemoving in meters per second (m/s)? This table shows the amount of gas Sharla's car uses to travel different distances on a highway.Number of Gallons Number of Miles41446216324912432Based on the data in the table, how many miles per gallon does Sharla's car get on a highway?O A. 18 mpgO B. 28 mpgOC. 36 mpgO D. 72 mpg What are the options when a bill to be signed comes before the president? The president can sign or veto it, the president can hold a press conference about it , or the president can call for a vote on it Explain if your definition could be applied to other communities and across cultures and explain how.My definition:I define Civic Engagement as the actions of a group of people who work together to solve problems within a community and improve the lives of people within the community using a combination of skills, knowledge, values, and motivation to encourage a difference. Can anyone help me out or give me some advice? [tex]some one \: please \: help \: me[/tex]Correct these sentences. 4. when she was six year old she loosed her first tooth 5. mother asked alyssa did you maked your bed this morning Define a function called helloWorld(n) that accepts a number of n as input argument and return n times text message "Hello World!". Call your functions. For example goes at the Beginning middle or end of an paragraph? Find if -3w - 6(u + 2v) if u = -3j, v = i + 2], and w =combination of unit vectors.-;. Express your answer as a linear May I please get help with this place. I have tried multiple times but still could not get the correct I'll send a better pic I just need help doing the work and understanding what it's about Solve for x.2(5x+4) = 7(2)5x + 4 = 14What is our next step in solving for x?A. multiply both sides by 4C. subtract 4 from both sidesB. add 4 to both sidesD. divide both sides by 4 After entering the table values in his calculator, Cory used the LinReg button to get the results shown. Identify the correlation coefficient and the type of correlation.