Four transformations of the function f(x) are given below. For each transformation, drag the graph that shows the results of that transformation into the box under it.

Answers

Answer 1

The graph that has been drag into the box in the image attached are the options that shows the results of that transformation.

What is the Function transformation about?

Note that there are 4 types of function transformations which are are:

DilationTranslationRotationReflection

Therefore, The function above is known to have passed through the following points

(1,1) and (0,-1)

The graphs of the functions

(a) Function g(x)

The equation of the function is given as: g (x) = 2 + f (x)

This implies that f(x) is said to be translated up by 2 units.

The graph that shows this is graph (b)

(b) Function h(x) = f (x + 2)

This implies that f(x) is translated left by 2 units.

The graph that shows this is graph (e)

This implies that f(x) is translated down by 2 units.

The graph that shows this is graph (c)

(d) Function m(x) = f (x - 2)

This implies that f(x) is translated right by 2 units.

The graph that depicts this is graph (f)

Therefore, The graph that has been drag into the box in the image attached are the options that shows the results of that transformation.

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Related Questions

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at a rate of 65 miles per hour. The westbound train travels at a rate of miles per hour. How long will it take for the two trains to be miles apart

Answers

Answer:

It will take 1 hour and 24 minutes.

Step-by-step explanation:

Given that:

Eastbound train travels at a rate of 65 miles per hour and Westbound train travels at a rate of 85 miles per hour

So speed = 65 + 85 = 150 miles per hour

Total distance = 210 miles

We have to find the time, we know that

Distance = time * speed

Time = distance / speed

Time = 210/150

Time = 1.4 hours

Or it can be written as:

Time = 1 hour 24 minutes

Hope this helped :D

Zoltan has a list of whole numbers, all larger than 0 but smaller than 1000. He notices that every number in his list is either one-third of another number in the list or three times another number in the list. What is the largest number of different whole numbers that can be on Zoltan's list?

Answers

The largest number of different whole numbers that can be on Zoltan's list is 999

How to determine the largest number?

The condition is given as:

Number = 1/3 of another number

Number = 3 times another number

This means that the list consists of multiples of 3

The largest multiple of 3 less than 1000 is 999

Hence, the largest number of different whole numbers that can be on Zoltan's list is 999

Answers

Your question is incomplete. Please read below to find the missing content.

Using the exponential distribution, it is found that:

a) There is a 0.0952 = 9.52% probability that a television set fails in less than 10,000 hours.

b) There is a 0.3012 = 30.12% probability that a television set lasts more than 120,000 hours.

c) There is a 0.1809 = 18.09% probability that a television set fails between 60,000 and 100,000 hours of use.

d) The 90th percentile is of 230,259 hours.

In probability theory and records, the exponential distribution is a non-stop possibility distribution that frequently issues the quantity of time till a few specific events happen. It is a method wherein activities show up continuously and independently at a regular common rate.

As an instance, the amount of time (starting now) until an earthquake occurs has an exponential distribution. Different examples consist of the duration, in mins, of long-distance enterprise phone calls, and the quantity of time, in months, a car battery lasts.

The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a television set:

a. Fails in less than 10,000 hours.

b. Lasts more than 120,000 hours.

c. Fails between 60,000 and 100,000 hours of use.

d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

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Solution :

0.9

0.3012

0.1809

230258.

Given that:

μ = 100,000

λ = 1/μ = 1 / 100000 = 0.00001

a. Fails in less than 10,000 hours.

P(X < 10,000) = 1 - e^-λx

x = 10,000

P(X < 10,000) = 1 - e^-(0.00001 * 10000)

= 1 - e^-0.1

= 1 - 0.1

= 0.9

b. Lasts more than 120,000 hours.

X more than 120000

P(X > 120,000) = e^-λx

P(X > 120,000) = e^-(0.00001 * 120000)

P(X > 120,000) = e^-1.2

= 0.3011942 = 0.3012

c. Fails between 60,000 and 100,000 hours of use.

P(X < 60000) = 1 - e^-λx

x = 60000

P(X < 60,000) = 1 - e^-(0.00001 * 60000)

= 1 - e-^-0.6

= 1 - 0.5488116

= 0.4511883

P(X < 100000) = 1 - e^-λx

x = 100000

P(X < 60,000) = 1 - e^-(0.00001 * 100000)

= 1 - e^-1

= 1 - 0.3678794

= 0.6321205

Hence,

0.6321205 - 0.4511883 = 0.1809322

d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

P(x > x) = 10% = 0.1

P(x > x) = e^-λx

0.1 = e^-0.00001 * x

Take the In

−2.302585 = - 0.00001x

2.302585 / 0.00001

= 230258.5

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In the diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation of a circle, x2 + y2 = r2.

On a coordinate plane, circle Q is centered at the origin with radius r. Triangle P Q S is shown. Point Q is at (0, 0) and points P is at (x, y). The length of Q P is r, the length of P S is y, and the length of Q S is x. Angle P S Q is a right angle.

If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle, which could represent the equation of the new circle?

(h + x)2 + (k + y)2 = r2
(x – h)2 + (y – k)2 = r2
(k + x)2 + (h + y)2 = r2
(x – k)2 + (y – h)2 = r2

Answers

Based on the given information, the equation of this new circle is B. (x - h)² + (y - k)² = r²

What is the equation of a circle?

The equation of a circle of radius r represents all the points that lie on the circumference of the given circle.

The equation of a circle is:

x² + y² = r²

Where:

r is the radius of a circle.

After translating h units along the x-axis and k units along the y-axis on a coordinate plane,

The equation of this new circle is given by:

(x - h)² + (y - k)² = r²

Where h and k represent the coordinates at the center.

Thus, option B is correct.

Answers

Answer:

X = 70°arc ZY = 140°arc XY = 82°

Step-by-step explanation:

The angle sum theorem helps you compute the angle inside the triangle. The inscribed angle theorem helps you compute the arc measures outside the triangle.

Theorems

The Angle Sum theorem tells you the sum of angles in a triangle is 180°. That lets you write the equation ...

X +Y +Z = 180°

X +69° +41° = 180°

The Inscribed Angle theorem tells you an inscribed angle has half the measure of the central angle subtending the same arc. The arc and the central angle have the same measure: twice that of the inscribed angle.

arc ZY = 2×∠X

arc XY = 2×∠Z

Solutions

Using the equations we wrote describing the relationships of the unknowns to the known information, we find ...

X = 180° -110° = 70°

arc ZY = 2×70° = 140°

arc XY = 2×41° = 82°

Answer:Angle x=70°

Step-by-step explanation:interior angles add up to 180° so we add 41° and 69°. After addition,you minus from 180° and you get 70°

what is (-6, 12) reflected over the x axis and reflected over the y axis ?

Answers

(-6, 12) reflected over the x axis is (-6, -12). Reflected over the y axis, (-6, 12) would give us (6, 12).

What is cos(30°)?
2
1
cos (30°)
30%
= =
√3
√[?
Enter

Answers

Answer:

Cos (30°) = √3/2

Step-by-step explanation:

that is the solution above

The value of the trigonometric equation cos ( 30 )° = √3/2

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of ∠BAC = 30°

The adjacent side of the triangle AC = √3 units

The hypotenuse of the triangle AB = 2 units

So , from the trigonometric relations

cos θ = adjacent / hypotenuse

On simplifying , we get

cos ( 30 )° = √3/2

Therefore , the measure of cos ( 30 )° = √3/2

Hence , the trigonometric relation is cos ( 30 )° = √3/2

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Solve using a paragraph proof
Given:Rectangle DVEO with diagonals DE and OV
Prove: OVE ≅ DEV

Answers

Answer:

you will use the SOHCAHTOA METHOD IF ITS A TRIANGLE. Not sure

Sum of three consecutive even numbers is 36. Find the numbers.

Answers

Answer:

Step-by-step explanation:

12 + 12 + 12 = 36

let each number = X

3x = 36

x = 36/3

x = 12

Hope this helps.Good luck ✅.

10, 12, 14

36/3=12
Other numbers are 12-2=10 and 12+2=14

If 7 litres of petrol will last 23 minutes in Dave's car, then how long will 25 litres last? Give your answer to the closest minute.

Answers

ANSWER: 82 1/7 minutes

EXPLANATION: If seven liters last 23 minutes then one liter lasts 23/7 minutes. You multiply this fraction by 25 because you want 25x that and you end up with a mixed number of 82 1/7 minutes or 1h and 22 1/7 minutes

Answer:

25 liters will last 82 minutes.

Step-by-step explanation:

All you have to do is divide 23 by 7 to get the minutes per liter.

This will get 3.285714285714286.

Next you multiply 3.285714285714286 by 25 and you get 82.14285714285714.

But since we need to round the answer by the closest minute the answer would be 82 minutes.

Hope this helped :D

A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°

Answers

A triangle Area: ½ × base × height
Perimeter: sum of side lengths of the triangle
Number of vertices: 3
Number of edges: 3
Internal angle: 60° (for equilateral)
Sum of interior angles: 180°
Properties: Convex, cyclic, equilateral, isogonal, isotoxal
Geometry formulas
Principles
Types
Golden ratio

Algebra 1 A Adaptive CR (JL22) 1/Tools Of The Trade
2. Simplify and write in exponential form. (4³)(3) = ?
O
O (4³) (¹)
521

Answers

The simplified expression of [tex](4^3)(\frac{4^4^0x^4}{3^2x^2y^2})[/tex] is [tex]\frac{4^7x^2}{3^2y^2}[/tex]

How to simplify the expression?

The expression is given as:

[tex](4^3)(\frac{4^4^0x^4}{3^2x^2y^2})[/tex]

Expressions raise to power 0 is 1.

So, we have:

[tex](4^3)(\frac{4^4x^4}{3^2x^2y^2})[/tex]

Apply the law of indices to expression with common base

[tex](\frac{4^{4+3}x^{4-2}}{3^2y^2})[/tex]

Evaluate the sum and difference

[tex](\frac{4^7x^2}{3^2y^2})[/tex]

Remove the bracket

[tex]\frac{4^7x^2}{3^2y^2}[/tex]

Hence, the simplified expression of [tex](4^3)(\frac{4^4^0x^4}{3^2x^2y^2})[/tex] is [tex]\frac{4^7x^2}{3^2y^2}[/tex]

Answers

Answer:

Pesos: $20

Dolares: $1

Step-by-step explanation:

Si la moneda mas alta tiene un valor de $20 pesos, tendria que pagar el primer articulo con 35 monedas. $20 x 35 = $700

Tendria que pagar 25 monedas para el segundo articulo. $20 x 25= $500

Si fuera en dolares, tendria que pagar el primer articulo con 700 monedas y el segundo articulo con 500 monedas.

Espero que esto te haya ayudado :)

Make P the subject.
Q = 3P + 2

Answers

Answer:

P = [tex]\frac{Q-2}{3}[/tex]

Step-by-step explanation:

Q = 3P + 2 ( subtract 2 from both sides )

Q - 2 = 3P ( isolate P by dividing both sides by 3 )

[tex]\frac{Q-2}{3}[/tex] = P

The sum of the two digits of a number is 9. If the tens digit is one-half the units digit, what is the number?
Let t = the tens digit, u = the units digit, and t+u = 9. Which of the following equations would complete the system?
t-u=1/2

t=1/2u

u=1/2t

Answers

Answer:

t=1/2u

Step-by-step explanation:

Since t=tens digit and u=units digit, as given in the equation that means that t+u=9. Since the tens digit is one-half the units digit that means: [tex]t=\frac{1}{2}u[/tex] since it's one half the units digit.

PLEASE HELP I WILL GIVE BRAINLIEST
What is the range of the function f(x) = |x| – 3?

{f(x) ∈ ℝ | f(x) ≥ –3}
{f(x) ∈ ℝ | f(x) < –3}
{f(x) ∈ ℝ | f(x) ≤ –3}
{f(x) ∈ ℝ | f(x) > –3}

Answers

The graph of this function opens up and all the y-values range from -3 to infinity, so therefore the range is all x≥-3

The range of the function f(x) = |x| – 3 is {f(x) ∈ ℝ | f(x) ≥ –3}. The correct option is A.

What is the range of the function?

The range of a function in mathematics can refer to one of two closely related ideas: The function's codomain a representation of the action A binary relation f between two sets X and Y is a function if there is exactly one y in Y such that f connects x to y for every x in X.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The graph of this function opens up and all the y-values range from -3 to infinity, therefore, the range is all x≥-3. The graph is attached with the answer below.

Therefore, the range of the function f(x) = |x| – 3 is {f(x) ∈ ℝ | f(x) ≥ –3}. The correct option is A.

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ayuda porfa es para hoy y que procedimiento

Answers

In the equation, the value of x is 4 and y is 1.

How to get the values?

From the information given,

2x - y = 7. ...... i

x + 2y = 6 ....... ii

Multiply equation i by 1

Multiply equation ii by 2

2x - y = 7.

2x + 4y = 12

Subtract both equations

-5y = -5

y = -5/-5

y = 1

From equation i

2x - y = 7.

2x - 1 = 7

2x = 7 + 1

2x = 8

x = 8/2

x = 4

Therefore, x = 4 and y = 1

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Which proportion could be used to find the length of side b?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{sin A}{a} = \frac{sin B}{b} = \frac{sin C}{c}[/tex]

Also, you need to subtract the 2 known angles from 180 to find the missing angle measurement. 180 - 85 - 64 = 31

The angles go with the side lengths opposite them.

[tex]\frac{sin 64}{a} = \frac{sin 85}{b} = \frac{sin 31}{9.3}[/tex]

For the following exercises, solve the equations below and express the answer using set notation.
14. 2| 4 − x | = 7

Answers

Answer: 1/2, 15/2

Step-by-step explanation:

to solve this absolute value equation, all you need to do is divide the 2 over to the other side of the equation, giving:

|4-x|=7/2

and then you can remove the absolute value symbols and make 2 equations:

4-x=7/2

4-x=-7/2

solve these and you're done!

find the area of the shape below

Answers

Answer:

47.92cm²

Step-by-step explanation:

Area = length x width

We first section off different rectangles to use the above formulaThe blue represents the total length of the F side

Which number is irrational?

Answers

Answer:

4.12

Step-by-step explanation:its 4.12 because all except it are in fraction form and irrational numbers cant be in fraction.

Simplify 4 1/5 divided 17/9

Answers

Answer:

4.341 or 369÷85

Step-by-step explanation:

41/5 ÷ 17/941/5 × 9/1741×9/5×17369/854.3411764714.341

Why are there two solutions for the equation |6+y| = 2?
Explain.

Answers

Answer:

y=-4 and y=-8

Step-by-step explanation:

When you have an absolute value around something, you can remove it, expect it's like a square root, it's going to be a [tex]\pm[/tex]. Because 6+y could've been -2 and the absolute value just made it positive 2

So set 6+y equal to -2 and 2 to find the two solutions:

6+y = 2

y = -4

6+y = -2

y = -8

Hey there!

YOUR EQUATION: |6 + y| = 2

CONVERT THAT TO:

y + 6 = 2 OR y + 6 = -2

FIRST let’s solve for: y + 6 = 2

y + 6 = 2

SUBTRACT 6 to BOTH SIDES

y = 6 - 6 = 2 - 6

SIMPLIFY THAT!

y = 2 - 6

y = -4

Possible solution #1: y = -4

LASTLY let’s solve for: y + 6 = -2

y + 6 = -2
SUBTRACT 6 to BOTH SIDES

y + 6 - 6 = -2 - 6

SIMPLIFY THAT AS WELL!

y = -2 - 6

y = -8

Possible solution #2. y = -8

Therefore, your answer should be:

y = -4 or y = -8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Simplify the following expression . Give a single numerical value as your answer ( don't forget to include a negative sign if applicable ) . - 105 - (- 68)

Answers

-105-(-68) = -105+68 = 68- 105 = -37

Help plsssssss WILL GIVE BRAINLIEST

Answers

Answer: (1,2)

Step-by-step explanation:

I will help you..

Given:

[tex]-2x-5y=-12\\10x-4y=2[/tex]

Lets cancel out the x term..

[tex]5(-2x-5y)=-12(5)\\=-10x-25y=-60[/tex]

Now our system looks like this:

[tex]-10x-25y=-60\\10x-4y=2[/tex]

Add.

[tex]-29y=-58\\y=2[/tex]

plug in 2 for y

[tex]-2x-5(2)=-12\\-2x-10=-12\\-2x=-2\\x=1[/tex]

Therefore the system is:

[tex](1, 2)[/tex]

If this helped consider marking brainiest.

Answer:

y=2 x=1

Step-by-step explanation:

1. 5(-2x-5y=-12)

10x-4y=2

2. -10x-25y=-60
+

10x-4y=2

3. -29y=-60+2

-29y=-58

y=2

-3-2-1
Intro
8
4
do
(2
-16
Ty
3
X
1
Which intervals show f(x) decreasing? Check all that
apply.
O [-2.5, -2]
O [-2,-1.5]
0-1, 1)
[1.5, 2]
[2, 2.5)
(2.5,3]
Done

Answers

Answer:

[-2.5, -2][-2, -1.5][1.5, 2][2, 2.5)

[-2.5, -2], [-2, -1.5], [1.5, 2] and [2, 2.5) were the intervals show f(x) decreasing

What is a function?

A relation is a function if it has only One y-value for each x-value.

To find the intervals where a function is decreasing, you need to look for the parts of the function where the slope is negative.

In other words, you need to find the intervals where the function is going downhill.

By the given function or graph the intervals where f(x) is decreasing are

[-2.5, -2], [-2, -1.5], [1.5, 2] and [2, 2.5)

Hence, [-2.5, -2], [-2, -1.5], [1.5, 2] and [2, 2.5) were the intervals show f(x) decreasing

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to its 4. RST maps to AR'S'T'.
Preimage
R(1, 1)
S(1,-1)
T(2,-2)
(197
dixes 180x
↑
↑↑
The coordinate rule is:
The transformation is:
Image
R'(3,2)
S'(3,-2)
T'(6,-4)

Answers

The coordinate rule for each point is;

R'(x, y) → (x + 2, y + 1)

S'(x, y) → (x + 2, y - 1)

T'(x, y) → (x + 4, y - 2)

How to Interpret Transformations?

Coordinate plane rules is simply (x, y) → (x ± h, y ± k)

where h and k are the horizontal and vertical shifts.

Thus, the coordinate rule for each point is;

R'(x, y) → (x + 2, y + 1)

S'(x, y) → (x + 2, y - 1)

T'(x, y) → (x + 4, y - 2)

The transformation is (x, y) = (x, y) for Point R

The transformation is (x, -y) = (x, -y) for Points S and T

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How many solutions does this linear system have?
y = 2/3x+ 2
6x - 4y = -10
• one solution: (-0.6, -1.6)
O one solution: (-0.6, 1.6)
no solution
infinite number of solutions

Answers

The given linear equation has one solution: (-0.6, 1.6). The correct option is the second option one solution: (-0.6, 1.6)

Solving system of linear equations

From the question, we are to determine the number of solutions the given linear equation has

The given system of equations is

y = 2/3x+ 2 ---------- (1)

6x - 4y = -10 ---------- (2)

Substitute equation (1) into equation (2)

6x - 4y = -10

6x - 4(2/3x +2) = -10

6x - 8/3x -8 = -10

6x - 8/3x = -10 + 8

10x/3 = -2

10x = -2 × 3

10x = -6

x = -6/10

x = -0.6

Substitute the value of x into equation (1)

y = 2/3(-0.6)+ 2

y = -0.4 + 2

y = 1.6

The solution to the given system of equation is x = -0.6, y = 1.6. That is, (-0.6, 1.6)

Hence, the given linear equation has one solution: (-0.6, 1.6). The correct option is the second option one solution: (-0.6, 1.6)

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I got a maths equation which i don't really get how to work out, the question is : solve 4x^2+x-3=0

Answers

The solutions for the given equation [tex]4x^2+x-3=0[/tex] are x = -1 and x = 3/4. Using the quadratic formula, the solutions for the given equation are calculated.

What is the quadratic formula?

The formula which is used to calculate the roots(solutions) of the quadratic equation in the form [tex]ax^2+bx+c=0[/tex] is

x = [- b ± [tex]\sqrt{b^2-4ac}[/tex]]/2a

Calculation:

The given equation is [tex]4x^2+x-3=0[/tex]

In comparison with the standard form of quadratic equation [tex]ax^2+bx+c=0[/tex],

we get, a = 4, b = 1 and c = -3

So, solving the given equation using the quadratic formula,

x = [- b ± [tex]\sqrt{b^2-4ac}[/tex]]/2a

= [- 1 ± [tex]\sqrt{1-4(4)(-3)}[/tex]]/2(4)

= [-1 ± [tex]\sqrt{49}[/tex]]/8

= (-1 ± 7)/8

Thus, x = (-1 + 7)/8 = 3/4 and x = (-1-7)/8 = -8/8 = -1

Therefore, the solutions of the given equation are x = -1 and x = 3/4.

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Can yaal help me Find the value of x

Answers

Answer:

Step-by-step explanation:

the ratios of corresponding sides are in proportion

that is the outer triangle and the inner triangle

[tex]\frac{x}{30}[/tex] = [tex]\frac{88}{44}[/tex] = 2 ( multiply both sides by 30 to clear the fraction )

x = 30 × 2 = 60

Answer:

C. 60

Step-by-step explanation:

I just saw that 44 + 44 equals 88 and compared those two sides, I knew it couldn't be 88, so that's out. Then, I saw that the side, 21 + 21, was shorter than the unknown side and that ruled out 42 and 30. 60 is the only one that is left and makes sense.

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