The function f(x)=x−−√ is reflected over the x-axis, translated 4 units down and 5 units to the left, then vertically stretched by a factor of 3. Which equation best represents the new function created?

Answers

Answer 1

Answer:

U dry aint put a answer

Step-by-step explanation:

Answer 2

Transformation involves changing the position of a function.

The equation of the new function is: [tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]

The function is given as:

[tex]\mathbf{f(x) = \sqrt x}[/tex]

The rule of reflection across the x-axis is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{f'(x) = -\sqrt x}[/tex]

The rule of translation, 4 units down and 5 units left is:

[tex]\mathbf{(x,y) \to ( x + 5,y-4)}[/tex]

So, we have:

[tex]\mathbf{f"(x) = -\sqrt{x + 5} - 4}[/tex]

The rule of vertical stretch by a factor of # is:

[tex]\mathbf{(x,y) \to (x,3y)}[/tex]

So, we have:

[tex]\mathbf{g(x) = 3(-\sqrt{x + 5} - 4)}[/tex]

[tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]

Hence, the equation of the new function is:

[tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]

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Related Questions

Given that f ( x ) = 3 x − 7 and g ( x ) = 3 x + 9 , evaluate f ( g ( 2 ) )

Answers

Answer:

38

Step-by-step explanation:

f ( x ) = 3 x − 7

g ( x ) = 3 x + 9

f(g(2))

First find g(2)

g(2) = 3(2)+9 = 6+9 = 15

Then find f(15)

f(15) = 3*15 -7 = 45 -7 =38

Please answer quickly giving brainliest

Evaluate 1/2(x divided by 4)+y when x = 16 and y = 2/5 A. 4/5, B. 19/10, C. 12/5, D. 32/5

Answers

The expression 1/2(x divided by 4)+y when evaluated for x = 16 and y = 2/5 is 12/5

How to evaluate the expression

The mathematical statement of the expression is given as

1/2(x divided by 4)+y

When the above expression is expressed using proper mathematical operators

We have the followng expression

1/2(x/4) + y

From the question, we have the followng values

x = 16 and y = 2/5

This means that

1/2(x/4) + y = 1/2(16/4) + 2/5

When evaluated, we have

1/2(x/4) + y = 12/5 or 2.4

Hence, the value of the expression si 12/5

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What were two impacts of the first great depression?

help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1: unemployment (more homeless people)

2: House prices rose down drastically by 70%.

(My sources: TheBalance.com)

I really need help please someone

Answers

Answer:

B) She puts the flag in the window after the men have taken it down.

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

She puts the flag in the window after the men have taken it down.

5 litres into grams.​

Answers

Step-by-step explanation:

Do like this only with no. mark me as brainliest answer

Answer:

Weight in Grams of:

Water     Cooking Oil

5,000 g    4,400 g

Step-by-step explanation:

Hope this helps

Help me

Number questions

Answers

Step-by-step explanation:

a) Four thousand five hundred thirty-six.

b) arrange in descending order

3456.

c) since we have to make odd number therefore once digit will be odd , 3 ( or 5 too )

so, the number is 6543.

hope this answer helps you dear!

What is the midpoint of XY

Answers

Answer:

41.75

Step-by-step explanation:

I think my math might be wrong

The length of a rectangular fence is 1 foot longer the width. The area is 132 feet^2. How long is the length of the fence?

Answers

xx+1=132=131=xx=x=131/x

how to use solution of an inequality in the real world?​

Answers

They seek to describe the way nature flows. Many of the simpler equations also describe financial concepts, like exponential growth. Exponential growth can describe the cultivation of microorganisms as well.

Addition and substraction is used in shopping.

Much of mathematics are also used in programming in order to make smart software.

You basically used equations everyday without even notice. Like when you have to calculate “How many dollars does the sum of your grocery stuffs equal to?”. Or a more complicated situation, if you need to be in the meeting at 9:30am, the travel distance is 10km and you can only leave after 8:30am, your driving speed should equal “x” km/h.”

Inequalities are used for comparison. “He is taller than me.” or “The iPhone with larger memory capacity is more expensive.”. A more complicated example is also with calculating your driving speed. “Now if there is expected traffic jam for 2km. You get out of the traffic jam at 9:00am, you have to drive faster than

“x” km/h to compensate for your loss time.”

Just some simple examples. There are a lots more out there, just look around.

Answer:

by using injustices or by subtracting

find the value of
[tex] \frac{x + y}{xy} [/tex]

Answers

Please find attached photograph for your answer.

Hope it helps.

Please do comment whether it is useful or not.

ray4918 here to help.

Help plz !!
What are the dimensions of AB?

Answers

Answer: c.2*1

Step-by-step explanation: in the picture

You need to remember two definitions.

First, the dimensions of a matrix are the number of rows by the number of columns. If a matrix has a row and b columns, it's an a*b matrix.

Second, before computing the product of two given matrices, you need to check an important condition.

If a matrix A has i row and j columns. And a matrix B has k row and l columns we can not apply the product AB only if j = k. In other words the numbers of columns of A (j) must be equal to the number of rows of B (k).

If this condition is checked, than the new matrix will be of dimensions : ixl

In our case i = 2, j = 3, k = 3, l = 1

So the dimensions will be 2x1 so the answer is C.

Good luck

O Domingos tinha certa quantia em dinheiro, foi ao centro comercial e gastou 1/3 da quantia na compra de uma revista, gastou 1/4 da quantia na compra de um CD e ainda ficou com 25 mil kzs. Qual era a quantia que Domingos possuía?

Answers

Answer:

English

Step-by-step explanation:

Think about all the ways in which a circle and a parabola can intersect.

Select all of the number of ways in which a circle and parabola can intersect.

0
1
2
3
4
5

Answers

Answer:

3

Step-by-step explanation:

Answer:

0,1,2,3,4

Step-by-step explanation:

trustttttt meee

Help help help help help help whelp

Answers

Y = -2x - 6

Use the same slope. Since the point intersects (0,-6), the y-intercept is 0.

Answer:

y = -2x - 12

Step-by-step explanation:

since they are asking for a parallel line, the slope will be the same:

in this case:

-2

now, we are given a point that the line goes through: (-6,0)

x is -6, y is 0

knowing all of these things, solve it:

0 = -2*(-6) + b

0 = 12 + b

b = -12

the equation of a line is y = mx +b

so:

y = -2x - 12

factor completely x^2-4

Answers

Answer:

(x + 2) (x - 2)

Step-by-step explanation:

Given the quadratic expression,  x² - 4:

Use the Difference of squares factoring formula:

u² - v² = (u + v)(u - v)

Determine what are possible factors that could have a product of -4:

Since -2 × 2 = -4, these can be used as factors.

Therefore, the factors of the quadratic expression, x² - 4 are:

(x + 2) (x - 2)

PLEASEE I NEED THIS ANSWER ASAP PLEASE!!

Answers

Answer:

D

Step-by-step explanation:

Identify the domain and range of the following relation. {(7,-2), (7,4), (7,6), (7,-4), (7,1)

Answers

Answer:

look at explanation

Step-by-step explanation:

domain= all the 7s

range: -2, 4, 6, -4, 1

3/8 times 1/2
Help me please! I’ll give the first answer Brainiest and five stars the second one will get 4 stars ⭐️ ⭐️⭐️

Answers

Step-by-step explanation:

[tex] \frac{3}{8} \times \frac{1}{2} [/tex]

3×1= 3

---

8×2=16

thus your answer is

[tex] \frac{3}{16} [/tex]

Hope this helped you- have a good day brocya)

Answer:

[tex]\frac{3}{16}[/tex]

Step-by-step explanation:

Hey there,

[tex]\frac{3}{8} *\frac{1}{2} \\[/tex]

[tex]\frac{3*1}{8*2}[/tex]

[tex]\frac{3}{16}[/tex]

Hope this helps you.

Let me know if you have any other questions:-)

! ! ! Angles ! ! !
(worth ten points)
Which is the best explanation of why triangles ABC and ACD are similar?
A.) Both triangles are right triangles.
B.) Both triangles contain angles A and C.
C.) Both triangles a right angle and angle A.
D.) Both triangles contain a right angle and angle C.

Answers

Answer:

the answer is a :)

Step-by-step explanation:

Find the value of the power. (2/3)3  ​

Answers

Answer:

8/27

Step-by-step explanation:

[tex](\frac{2}{3})^3 = \frac{2}{3} * \frac{2}{3} * \frac{2}{3} = \frac{8}{27}[/tex]

Using suitable property, find the value of 689 × 147- 689 × 47
and mention the property used.

Answers

Answer:

Step-by-step explanation:

689×147-689×47

=689(147-47)

=689(100)

=689×100

=68900

sas, sss, aas, or not enough information

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Two Angles and the side between them are equal to corresponding Angles and side of another triangle ( one of the Angles are equal because of vertical opposite angle pair ), so the required congruency criteria to prove them equal is :

ASA

Answer:

ASA

Step-by-step explanation:

A breakfast stall at a market stays open for 4 hours 30 minutes every morning. If it opens at 06:45 every morning, what time did he reach​

Answers

Answer:

uhj hdctui nomar binary 34.89

Order of operations question

Answers

Answer:

165 po ang sagot

Kung Hindi po tama sorry

I try my best

Use a common denominator to find equivalent fractions for 1/3 and 4/5

Answers

Common denominator is 15

1/3 = 3/15
4/5 = 12/15

Find X in the triangles

Answers

Answer:

8. 14x+6+16x+4=130

30x+10=130

30x+10-10=130-10

30x=120

x=4

10. 11x+3-85=5x-10

11x+3-85-5x=5x-10-5x

6x+3-85=-10

6x+3-3-85+85=-10-3+85

6x=72

x=12

Step-by-step explanation:

Please help its due today and i have practically everything else filled out

Answers

Answer:

B(ans) quotient is negative. When you divide a positive number by a negative number then the quotient is also negative. When you divide two negative numbers then the quotient is positive. The same rules hold true for multiplication

please answer the question :]

Answers

oh my god what is this, i rather die than do this im so sorry but i cant help

. Excel Secondary School wants to send its students for an educational trip and has found an organisation that is willing to sponsor up to an amount of $2 500 for the trip. Given that the cost of sending a student for the trip is $12, what is the maximum number of students the school can send for the trip if it relies only on the sponsorship?​

Answers

Answer:

208 students I think that's the answer

express 5^20 as a power of 25

Answers

5^20 can be written as (5^2)^10=25^10

The expression of 5^20 as a power of 25 can be written as 25^10.

What are exponents?

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

We need to express 5^20 as a power of 25

If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" means this statement might change from text to text slightly.

Thus, 5^20 can be written as ;

(5^2)^10 = 25^10

Therefore, the expression of 5^20 as a power of 25 can be written as 25^10.

Learn more about exponentiation here:

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