Which description explains how the graph of f(x)=√x could be transformed to form the graph of g(x) = √x-6

horizontal shift of 6 units left
horizontal shift of 6 units right
vertical stretch by a factor of 6
vertical shift of 6 units up

Which equation represents the transformation of f(x)=|x| when effected by a vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units?

g(x)= 1/3 |x−4| + 2

g(x)= 1/3 |x+4| − 2

g(x)= 3 |x−4| + 2

g(x)= 3 |x+4| + 2

Answers

Answer 1

Answer:

b

c

Step-by-step explanation:

First question: x - 6 means there is a shift to the right.

Second Question: substitute the given values into the original equation for appropriate transformations.

Answer: 3 |x-4| + 2, because vertical stretch multiplies x, horizontal shifts are subtracted or added to x, and vertical shifts are added or subtracted to the entire function.

Answer 2

The movement of the curve in the graph is shifting of the curve in vertical or the horizontal direction.For the first function the graph horizontal shift of 6 units right and for the second function when it is  vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units the transformation function is,

[tex]g(x)=3|x-4|+2[/tex]

Given-

The equation of the graph given in the problem is,

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

Translation of the graph

The movement of the curve in the graph is shifting of the curve in vertical or the horizontal direction.

a) The equation of the graph when it is transferred is given as,

          [tex]g(x)=\sqrt{x-6} [/tex]

There is no change with the constant value. Thus the graph will not move in vertical direction. The change in variable of a unit result in the graph shift in horizontal direction.

As it shift -6 thus graph horizontal shift of 6 units right.

b) The given function is,

[tex]f(x)=|x|[/tex]

Vertical stretch of 3 means multiply the function with unit 3.

[tex]g(x)=3|x|[/tex]

Horizontal shift to the right 4 units means the difference of 4 units in the variable,

[tex]g(x)=3|x-4|[/tex]

Vertical shifts up with 2 units means the addition of the constant 2.

[tex]g(x)=3|x-4|+2[/tex]

Hence, for the first function the graph horizontal shift of 6 units right and for the second function when it is  vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units the transformation function is,

[tex]g(x)=3|x-4|+2[/tex]

Learn more about the Translation of the graph here;

https://brainly.com/question/1870192


Related Questions

A ________ function specifies the relationship between the demand for a product LaTeX: x and the price of the product LaTeX: p.

Answers

Answer:

Price demand function

Step-by-step explanation:

The price demand function is the function in which there is a relationship between the demand and the price of the product

The Price demand function is

[tex]= Price \times demand[/tex]

[tex]= p \times x[/tex]

hence, the price demand function represents that there is a relationship that lies between the demand and the price

........-.--
Emma's family tooka road trip to Niagrara Falls. Emma slept through the last 21% of
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Answers

Answer:

the last 126 miles emma slept

Wendy purchased 9 pizzas for x dollars. She spent a total of
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Answers

Answer:

x = $9.50

Step-by-step explanation:

85.50 / 9 = 9.5 sooo..

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Answer:

3/2

Step-by-step explanation:

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What is the volume of a cylinder, in cubic ft, with a height of 9ft and a base diameter
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Answers

Answer:

Volume of cylinder is: Volume=1808.64 ft³

Step-by-step explanation:

Height of cylinder = 9 ft

Base diameter of cylinder = 16 ft

We need to find volume of cylinder .

The formula used is: [tex]Volume=\pi r^2h[/tex]

We need radius:

The radius = diameter/2 = 16/2 = 8 ft

Putting values and finding volume of cylinder

[tex]Volume=\pi r^2h[/tex]

[tex]Volume=3.14\times (8)^2\times (9) \\Volume=3.14\times 64\times (9) \\Volume=1808.64 \: ft^3[/tex]

So, Volume of cylinder is: Volume=1808.64 ft³

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Answers

Answer:

David gets £34, Egil gets £119 and Frances gets £153.

Step-by-step explanation:

Let the amount of money David gets be 2x, Egil be 7x and Frances be 9x.

7x = 2x + 85

7x - 2x = 85

5x = 85

x = 85 ÷ 5

x = 17

David (2x) = 2 × £17

                 = £34

Egil (7x) = 7 × £17

             = £119

Frances (9x) = 9 × £17

                     = £153

In the figure below, ABD measures 41. What is the measure of ABC?​

Answers

Answer:

The answer is 82 degrees.

Large bottle of juice contains 500 ml of juice. Medium bottle contains 70% as much juice as large bottle. How many milliliters of juice are in the medium bottle?

Answers

Answer:

350 milliliters

Step-by-step explanation:

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You have a rock with a volume of 15 cm3 and a mass of 45 g. What's its density?

Answers

The formula for density is d = m/v.

d = density

m = mass

v = volume

The volume of the rock is 15 cubic centimeters.

The mass of the rock is 45 grams.

Now just plug these into the formula and solve.

d = 45/15.

45/15 = 3.

The density of the rock is 3 grams per cubic centimeters.

Given:

Mass of the rock = 45 g

Volume of the rock = 15 cubic cm

Formula:

Density = Mass / Volume

Explanation:

By putting the respected values, we get

Density = 45 g / 15 cubic cm = 3 gram/cubic centimeter

Answer:

Density of the rock is 3 gram/cubic centimeter.

50 points i really need help

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Answer:

first one i just don't find that sign of math in my computer but yeah

Step-by-step explanation:

HAPPY HOLIDAYS :)

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183

Answers

Answer:

64

Step-by-step explanation

-3 < x -10 Solve for X and simplify please

Answers

Hey there!

“-3 < x - 10”

SOME people treat the “<” “>” as an equal sign to make these types of problems easier to solve!

-3 = x - 10

Flip the equation around

x - 10 = -3

ADD both of your sides by 10

Like: x - 10 + 10 = -3 + 10

CANCEL out: -10 + 10 because it gives us 0

Keep: -3 + 10 because it gives us the value of x

-3 + 10 = x

Solve that above and you have your answer: x = 7 ☑️

Overall answer: x < 7

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

PLZ HELP ME WITH THIS!?!?! I WILL MARK BRAINLIEST!!!

Answers

Answer:

a: 1/7 +2/7

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I NEED HELP ( please dont steal or guess means not to me) and I will giver brainiest if you have proof

Answers

Answer:

option d, 7.25

Step-by-step explanation:

2AB=YZ(By parallel line theorem)

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4x=29

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Answers

Answer:

D. 31

Step-by-step explanation:

Given:

[tex] f(x) = 4x^3 - 10 [/tex]

[tex] g(x) = \frac{3x - 4}{2} [/tex]

Required:

The value of g(f(2))

First, find f(2).

Substitute x = 2 into [tex] f(x) = 4x^3 - 10 [/tex].

[tex] f(2) = 4(2)^3 - 10 [/tex]

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[tex] f(2) = 22 [/tex]

Next, find g(f(2)).

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[tex] g(f(x)) = \frac{66 - 4}{2} [/tex]

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[tex] g(f(x)) = 31 [/tex]

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Answers

Answer:

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Answers

Answer:

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Answers

Answer:

Step-by-step explanation:

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Answers

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Answers

Answer:

The rational function that might have the given graph is [tex]y = - \frac{x}{(x+1)\cdot (x-1) }[/tex].

Step-by-step explanation:

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Answers

Answer:

Your answer is 89760!!!

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Answer:

89760

Step-by-step explanation:

17*5280=89760

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Answers

Answer:

x=2

Step-by-step explanation:

15x-9x = 6x

10+2 = 12

6x=12

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Step-by-step explanation:

9x+10 = 15x-2

-9x         -9x

____________

10 = 6x-2

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Answers

a) 300+25x or 300+25(4)=400
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If AC = 2, CD = 6, and CE = 3, what is BC?

Answers

Answer:

Hello,

Statement:                        Reasons:

BC/CD = AC/CE                 1. Given

∠BCA = ∠ECD                    2. Vertical ∠'s =

△ACB ~ △ECD                   3. SAS

Hope it helps!

Step-by-step explanation:

Answer:

i believe the answer would be number 4

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Answers

Answer: eighty six point zero four zero zero five. OR eighty six and four thousand five, hundred thousandths

Step-by-step explanation:

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Sam bought an $85.00 jacket for 40% off of the regular price. He also has to pay 5% for tax. How much did he pay for the jacket after the discount and tax?

Answers

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suppose sin(x) = -3/5 and cos(x) < 0. what is the value of cos (2x)?​

Answers

Answer:

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Step-by-step explanation:

Answer is C

Help pls for a grade

For a biology assignment, Melanie records the height of a plant over time.
The plant was 14 cm tall when she started the assignment. She notices that
the plant grows 7 cm every week.

Answers

Answer:

B (2,28)

Step-by-step explanation:

Pleasee help ASAP I’m begging u plssss

Answers

B, y=mx+b
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For the triangles described, which of the following statements must be true? In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°. (1 point) ∠Q≅∠F ∠R≅∠F DE¯¯¯¯¯¯¯¯≅PQ¯¯¯¯¯¯¯¯ ∠E≅∠Q

Answers

Answer:

∠Q≅∠F

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides of the triangles are equal and all the three angles are equal.

Given that: In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°.

Hence we can say that ΔDEF is congruent to ΔPQR. According to the side-angle-side (SAS) triangle congruence theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Therefore:

DF = PQ, DE = PR, EF = RQ, ∠D = ∠P, ∠E = ∠R and ∠F = ∠Q

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