The graph of f(x) = x² is transformed to create the graph of g(x) = f(x + 6). Which
statement is true?
A The graph of g(x) reflects the graph of f(x) across the x-axis.
B The graph of g(x) reflects the graph of f(x) across the y-axis.
CThe vertex of the graph of g(x) is 6 units to the left of the vertex of the graph of f(x).
DThe y-intercept of the graph of g(x) is 6 units above the y-intercept of the graph of f(x).

Answers

Answer 1

Answer:

Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x) is a vertical reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about (or over, or through) the x-axis.

Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=f\left(-x\right)g(x)=f(−x) is a horizontal reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about the y-axis.

Step-by-step explanation:


Related Questions

Please take a look at the picture

Answers

Answer:

C

Step-by-step explanation:

it is none of the above, because

x - (-x) = x + x = 2x

and that is not -x

0 - (-x) = 0 + x = x

and that is not -x

2/3 times what equals 3/2

Answers

[tex]\dfrac 23 \cdot x = \dfrac 32 \\\\\implies 2x = \dfrac 92\\\\\implies x =\dfrac 94[/tex]

what is the inverse of f(x) = x2 − 36

Answers

I think it’s x-2 + 36

which one is true and why

Answers

Answer:

the first one is true

Step-by-step explanation:

√36>5 = 6>5

7<√10 = 7<3.162

√9>√25 = 3>5

Therefore, the first one is correct

What fraction of the rectangle is shaded? PLS PLS PLS help ASAP! Ty

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Calculate the total area of the rectangle:

21 x 12 = 252

Half of the rectangle is unshaded so:

252 ÷ 2 = 126

For clarification, side A is the top, side B is the left hand side and side C is the bottom.

Now, find the area of the unshaded side of the other triangle. As the length of side C is 21 and the shape is a rectangle, side A is also 21. We need to calculate the amount is unshaded on this side so:

21 - 14 = 7

(7 x 12) ÷ 2 = unshaded

84 ÷ 2 = 42

So now we know the total of the shape that is shaded, we can now subtract this from the total area of the shape:

252 - 126- 42 =   84

Which in fraction form is:

[tex]\frac{84}{252}[/tex]

This can be simplified down by dividing both the numerator and the denominator by 3:

[tex]\frac{84 \div 3}{252 \div 3}[/tex]

=[tex]\frac{1}{3}[/tex]

Hope this helps!

If h(x)=5x+7, then h(x) has a zero at which of the following values?
(1) -5
(2) 7
(3) -1.4

Answers

Answer:

Step-by-step explanation:

0 = 5x + 7

-7 = 5x

x = - 7/5 = -1.4

Answer:

-1.4

Step-by-step explanation:

h(x)=0=5x+7

or, 5x= -7

x= -7/5= -1.4

Describe fully the tranformation that takes shape P to shape Q

Answers

Answer:

Enlargement (aka: Dilation)

Step-by-step explanation:

As the triangle's scale factor is 3, The triangle P enlarges by 3 onto triangle Q.

Answer:

dilation by a scale factor by 3 about (1, 0)

Step-by-step explanation:

it is dilation by a scale factor of 3

see the below picture to find the center of dilation formula

(2, 1)  (4, 3) points of transformation

center = (3*2 - 4 / 3 - 1,  3*1 - 3 / 3 - 1)

= ( 6 - 4 / 2,  0)

= (1, 0)

so single transformation is  dilation by a scale factor by 3 about (1, 0)

The list of ordered pairs below represents a function.
{(-12, –8), (-2,7), (0,4), (-4,3)}
Find the range of the function. Write your answer' as a comma separated list.

Answers

Answer:

{-8, 3, 4, 7}

Step-by-step explanation:

range is y values in the ordered pairs

{-8, 3, 4, 7}

I got brainly for my kid , it’s on my phone and she is on my family share How can she use it on her phone?

Answers

Answer:

The only way she was able to use it if she knew your email and linked you to the account or she had some sort of permissions to get brainly on her device.

Using the diagram of a regular hexagon, fill in the blanks for the steps to solve for the area of a hexagon with sides equal to 16 cm.

(1) How many equilateral triangles are there? _____

(2) What is the measure of each of the three angles in the equilateral triangle? _____

(3) If we cut an equilateral triangle down the middle (segment a), what special right triangle do you create? _____

(4) What is the vocabulary word for the segment a? _____

(5) What is the length of the short side of one of the 30-60-90 triangles? _____

(6) What is the length of the hypotenuse of one of the 30-60-90 triangles? _____

(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg of one of the 30-60-90 triangles. _____

(8) What is the height of one of the the equilateral triangles? _____

(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. _____

(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _____

Answers

Answer:

(1) How many equilateral triangles are there? ___6__

(2) What is the measure of each of the three angles in the equilateral triangle? __60°_

(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_

(4) What is the vocabulary word for the green line? _Perpendicular bisector_

(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_

(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm

(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm

(8) What is the height of the equilateral triangle?  _4√3_cm

(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²

(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²_

Step-by-step explanation:

In geometry, a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles

What is Hexagone?

In geometry, a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles

The answers of all the fill in the blanks are given below:

(1) How many equilateral triangles are there ___6__

(2) What is the measure of each of the three angles in the equilateral triangle __60°_

(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_

(4) What is the vocabulary word for the green line? _Perpendicular bisector_

(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_

(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm

(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm

(8) What is the height of the equilateral triangle?  _4√3_cm

(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²

(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²

To know more about Hexagone follow

https://brainly.com/question/1615720

Select the property of equality used to arrive at the conclusion.

If x = 2, then x + 8 = 10Select the property of equality used to arrive at the conclusion. If x = 2, then x + 8 = 10

1. the subtraction property of equality
2. the addition property of equality
3. the multiplication property of equality
4. the division property of equality

Answers

Answer:

addition property of equality

Step-by-step explanation:

This is because the addition property of equality means

if [tex]a=b[/tex] then [tex]a+c=b+c[/tex]

So if, [tex]x=2[/tex] then [tex]x+8=2+8[/tex]

On average, Laylah drinks 1/2 of a 6-ounce glass of water in 2/3 hour. What is 1/2 of 6?

Answers

Answer:3

Step-by-step explanation:

1/2 of 6 is 3 because (6x1)/2=6/2 which equals 3

Solve the inequality -3/4(12x+16)<9-5x.

Answers

Answer:

x > -21/4

Step-by-step explanation:

Answer:

x > -24/4

Step-by-step explanation:

-3/4 (12x + 16) < 9 - 5x

-3/4 * 12x - 3/4 * 16 < 9-5x

-9x - 3/4 * 16 < 9 - 5x

-9x - 12 < 9 - 5x

-4x - 12 < 9

-4x < 21

Find m/_ABC if BD is an angle bisector of ABC

Answers

Answer:

im not quite sure but i think u do it like this:

Step-by-step explanation:

4x-6=x+6

(add 6 to both sides as well as subtracting x from both sides)

3x=12

(divide 3 from both sides)

x=4

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.23.

How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.03? Round your answer up to the next integer.

Answers

Using the z-distribution, it is found that a sample size of 1066 is required.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of .

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

From the previous study, the estimate is of 0.23, hence [tex]\pi = 0.23[/tex].

98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so [tex]z = 2.327[/tex].

The sample size is n for which M = 0.03, hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 2.327\sqrt{\frac{0.23(0.77)}{n}}[/tex]

[tex]0.03\sqrt{n} = 2.327\sqrt{0.23(0.77)}[/tex]

[tex]\sqrt{n} = \left(\frac{2.327\sqrt{0.23(0.77)}}{0.03}\right)[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.327\sqrt{0.23(0.77)}}{0.03}\right)^2[/tex]

[tex]n = 1065.5[/tex]

Rounding up, a sample size of 1066 is required.

A similar problem is given at https://brainly.com/question/12517818

Please solve for a: b = 2 - (1/a)

Answers

[tex]b = 2 - \dfrac 1a\\\\\implies ab = 2a -1\\\\\implies 2a -ab = 1\\\\\implies a(2-b) =1\\\\\implies a = \dfrac 1{2-b}[/tex]

help me out guys !!!?​

Answers

Answer:

4

Step-by-step explanation:

yeah-ya............. right?

Answer:

16

Step-by-step explanation:

because :-

f(x) =[x+6] x=-10

=[-10+6]

=10+6

16

Jaxon borrowed some money from his friend in order to help buy a new video game system. Jaxon agreed to pay the friend back some amount every week until his loan was paid off. Let L represent the amount Jaxon owes his friend after tt weeks. A graph of L is shown below. Write an equation for L then state the x-intercept of the graph and determine its interpretation in the context of the problem.

Answers

Answer:

L = -2t + 10, (5,0) the interpretation of the x-intercept in the context of the problem is the week that Jaxon owes no more money

Step-by-step explanation:

so we have L=mt+b with m being the slop and b being the y-intercept. the y-intercept is found by looking at what L is when t=0. when t=0, L=10 so b=10. now we have L=mt + 10. to find slop figure out rise/run. every 1 increase in t, L decreases 2 units. this is -2/1 or -2 so m=-2. so the graph is L = -2t + 10

the x- intercept is the t value when L=0, looking at the graph, when L=0, t=5, so the x-intercept is at (5,0)

What is the answer to 14÷22 ?

Answers

Answer:

0.63636363636363636

Step-by-step explanation:

14/22

Answer:

7/11 or 0.6363636363... and so on in that pattern.

Step-by-step explanation:

Well 14/22 is an irrational decimal which is 0.6363636363... and it goes on forever, so to put it in simple terms you can write it as a fraction as 7/11. (Sorry for being vague).

I hope this answer helped you if it is wrong please let me know. Thank you!

help me please i beg you

Answers

ANSWER: Acute and obtuse angle

HELP IF CORRECT WILL GIVE BRAINLIEST (if you are trying to play around i will report u u-u)

Answers

Answer:

synthetic.

Step-by-step explanation:

I don't know how to give a step by step.

Answer:

Well I don't have the previous reading stated in the question obviously, but fossil fuels are natural resources. They form from decomposing plants and animals and are mainly found in the Earth's crust. These fuels are made of hydrogen and carbon which can be burned for energy.

Find X for brainiest

Answers

Answer:

136°

Step-by-step explanation:

Look at the attached paper for the steps.

Answer:

136°

Step-by-step explanation:

In quadrilateral ABCD,

[tex]m\angle A = 180\degree - 107\degree = 73\degree[/tex](Angles in linear pair)

[tex]m\angle B = 61\degree [/tex](Vertical Angles)

[tex]m\angle C= 90\degree [/tex](Given)

[tex]m\angle A +m\angle B+m\angle C+m\angle D= 360\degree[/tex](Interior angle sum postulate of a quadrilateral)

[tex]73\degree +61\degree+90\degree+x= 360\degree[/tex]

[tex]224\degree+x= 360\degree[/tex]

[tex]x= 360\degree-224\degree[/tex]

[tex]x= 136\degree[/tex]

Which of the expressions are equivalent to the one below? Check all that apply. (8 + 3) 4

Answers

Answer:

Step-by-step explanation:

would be nice to have a look at the options.

Here's a few I could come up with

44

32 + 12

8(4) + 3(4)

11(4)

Please answer! Only if correct, please.

Answers

Answer:

f(-4) = -6

g(2) = -14

Step-by-step explanation:

To evaluate a function we must plug in the values of x. So for:

f(x) = 2x+2

we have:

f(-4) = 2(-4)+2

then we simplify:

f(-4) = -8+2

so f(-4) = -6

Now the same steps are taken for g(x) in which the answer would be -14.

What is the slope of the function?
O-6
O 4
O 4
O 6

Answers

Answer:

12/2 = 6

Step-by-step explanation:

2 ways to do it, graph it, or do the slop finding formula y2-y1/x2-x1

answer:

Step-by-step explanation:

I hope she is correct answer

How to factor out a polynomial with a 3rd degree.

Answers

Answer:

How to factor out a polynomial with a 3rd degree-• well here is a For example, let G(x) = 7x³ – 125. Then factoring this third degree polynomial relieve on a differences of cubes as follows: (2x – 5) (4x² + 20x + 25), where ²x is the cube-root of 8x³ and 5 is the cube-root of 1256

Answer:

long division is probably the simplest method of finding out the factors

Step-by-step explanation:

For example,  let G(x) = 8x³ – 125. Then factoring this third degree polynomial relies on a difference of cubes as follows: (2x – 5) (4x² + 10x + 25), where 2x is the cube-root of 8x³ and 5 is the cube-root of 125. Because 4x² + 10x + 25 is prime, you are done factoring.

A color printer prints 5 pages in 9 minutes.
How many minutes does it take per page?

PLS HELPPPPPP

Answers

Answer: 1.8

Step-by-step explanation: Divide 9/5

Numeros comprendidos entre 20

Answers

One, two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, and nineteen/Uno, dos, tres, cuatro, cinco, seis, siete, ocho, nueve, diez, once, doce, trece, catorce, quince, dieciséis, diecisiete, dieciocho y diecinueve

Ashley received a $24 discount on a radio she bought for $98.00. What is the percent of discount she saved?

Answers

Answer:

24.49

Step-by-step explanation:

Answer:

24.489%, but most of the time they only go to 2 decimal places so 24.49%

Step-by-step explanation:

One thousand dollars is deposited into an ordinary annuity after each 6 month period for 2 years. The account pays 4 percent interest compounded semiannually.what is the future value of the account in 2 years ??

Answers

Answer:

  $4121.61

Step-by-step explanation:

Use the formula for the balance of an ordinary annuity.

  A = P((1 +r/n)^(nt) -1)/(r/n)

  A = $1000((1 +.04/2)^(2·2) -1)/(.04/2) ≈ $4121.61

The future value of the account is $4121.61.

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