Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g.


g(x) = f(x − 3) + 4
A.
The graph of function f is shifted left 3 units and up 4 units.
B.
The graph of function f is shifted right 3 units and up 4 units.
C.
The graph of function f is shifted right 3 units and down 4 units.
D.
The graph of function f is shifted left 3 units and down 4 units.

Answers

Answer 1

The graph of function f is shifted right 3 units and up 4 units.

Let f(x) be the parent function

Now use the Rule : f(x)→f(x-b) to find the shifting of graph

The graph shifts right by b units

So, shift the graph by 3 unit

So, f(x)→f(x-3)

So, the graph shifted right by 3 units

2nd rule used is Rule : f(x)→f(x)+b to find the another shifting of graph

The graph shifts up by b units

Now shift the obtained graph up by 4 units

So,  f(x-3)→f(x-3)+4

So, the graph shifts up by 4 units

Thus, The graph of function f is shifted right 3 units and up 4 units.

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Related Questions

What is the answer to the question please ?

Answers

Answer:

Step-by-step explanation:

easy its A tell me if u got it correct good job (:

A 50 foot rope is stretched tight from the roof of a building to a spot 20 feet from the base of the
building. How tall is the building? Round your answer to TWO decimal places.

Answers

47.17 feet is the height of the building.

We can use the Pythagorean theorem to solve the problem:

Let h be the height of the building.

Then we have a right triangle with legs 20 and h, and a hypotenuse 50.

Using the Pythagorean theorem, we have:

[tex]50^2 = 20^2 + h^2[/tex]

Simplifying and solving for h, we get:

[tex]h = \sqrt{(50^2 - 20^2)[/tex]

h ≈ 47.17 feet (rounded to two decimal places)

Therefore, the height of the building is approximately 47.17 feet.

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(x+3)(x+7)=0

Problem answered, solution and why!

Answers

Answer:

the solution set is { - 7, - 3 }

Step-by-step explanation:

(x + 3)(x + 7) = 0 ← in factored form

equate each factor to zero and solve for x

x + 3 = 0 ( subtract 3 from both sides )

x = - 3

x + 7 = 0 ( subtract 7 from both sides )

x = - 7

solution set is { - 7, - 3 }

What is the range of f(x) = sin(x)?
the set of all real numbers -2pi≤y≤2pi
the set of all real numbers -1≤y≤1
the set of all real numbers 0≤y≤2pi
the set of all real numbers

Answers

Answer:

the set of all real numbers -1≤y≤1

Step-by-step explanation:

according to the definition of 'sin'-function, the max value of it is '+1' and the min is '-1'. Finally, the correct answer is B. the set of all real numbers -1≤y≤+1.

Tres engranajes tangentes entre sí, cuyos radios miden 15, 16 y 17 cm, deben ser sostenidos por
una base triangular que tiene por vértices los centros de cada engranaje. Hallar los ángulos
interiores del triángulo y expresarlos según el sistema de medición radial.

Answers

Para resolver este problema, podemos utilizar el Teorema de los Cosenos para calcular los ángulos interiores del triángulo.

Sea A, B y C los vértices del triángulo correspondientes a los centros de los engranajes. Sea a, b y c las longitudes de los lados opuestos a los ángulos A, B y C respectivamente.

Dado que los radios de los engranajes miden 15 cm, 16 cm y 17 cm, podemos considerar que los lados del triángulo son a = 15 cm, b = 16 cm y c = 17 cm.

El Teorema de los Cosenos establece que en un triángulo con lados a, b y c, y ángulos opuestos A, B y C respectivamente, se cumple la siguiente fórmula:

c^2 = a^2 + b^2 - 2ab * cos(C)

Podemos aplicar esta fórmula para cada uno de los ángulos del triángulo.

Para el ángulo A, tenemos:

c^2 = b^2 + a^2 - 2ab * cos(A)

17^2 = 16^2 + 15^2 - 2 * 16 * 15 * cos(A)

Resolviendo la ecuación, encontramos que cos(A) = -1/8. Tomando el coseno inverso (arcocoseno), encontramos que el ángulo A es aproximadamente 135.2 grados en el sistema de medición radial.

Para el ángulo B, tenemos:

a^2 = c^2 + b^2 - 2cb * cos(B)

15^2 = 17^2 + 16^2 - 2 * 17 * 16 * cos(B)

Resolviendo la ecuación, encontramos que cos(B) = -7/17. Tomando el coseno inverso, encontramos que el ángulo B es aproximadamente 120.6 grados en el sistema de medición radial.

Para el ángulo C, tenemos:

b^2 = a^2 + c^2 - 2ac * cos(C)

16^2 = 15^2 + 17^2 - 2 * 15 * 17 * cos(C)

Resolviendo la ecuación, encontramos que cos(C) = -1/2. Tomando el coseno inverso, encontramos que el ángulo C es aproximadamente 120 grados en el sistema de medición radial.

Entonces, los ángulos interiores del triángulo son:

A ≈ 135.2 grados

B ≈ 120.6 grados

C ≈ 120 grados

Estos valores están expresados en el sistema de medición radial.

If the equation is an identity

Answers

The equation is an identity is discussed below.

An identity is a mathematical equation that holds true for all values of the variables involved.

In other words, it is true regardless of the specific values of the variables. When an equation is an identity, it means that both sides of the equation are equivalent and represent the same mathematical relationship.

For example, the equation 2x + 3 = 2(x + 1) is an identity because it holds true for all values of x.

When an equation is an identity, it provides a general statement or rule that is universally applicable and does not depend on specific values or conditions. Identifying an equation as an identity is important because it allows us to make general conclusions and deductions that apply in all cases.

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The table of values below represents a linear function and shows the amount of snow that has fallen since a snowstorm began. What is the rate of change?

Snowfall Amount
Length of Snowfall
(hours)
Amount of Snow on the Ground
(inches)
0
3.3
0.5
4.5
1.0
5.7
1.5
6.9
2.0
8.1
1.2 inches per hour
2.4 inches per hour
3.3 inches per hour
5.7 inches per hour

Answers

The average rate of change for the snowfall amount is given as follows:

2.4 inches per hour.

How to obtain the average rate of change?

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function.

The change in the output is given as follows:

8.1 - 3.3 = 4.8.

(output is the amount of snow).

The change in the input is given as follows:

2 - 0 = 2.

(input is the time in hours).

Hence the average rate of change of the snowfall over time is given as follows:

4.8/2 = 2.4 inches per hour.

(change in the snowfall divided by the change in time).

Missing Information

The table is given by the image presented at the end of the answer.

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find the perimeter of a triangle where one side is 2 inches, one side is 6 inches and another side is 10 inches.
(a) 2in.
(b) 9in.
(c) 36in.
(d) 18in.​

Answers

Answer:

(d) 18 in.

Step-by-step explanation:

When we're given the three sides of a triangle, one formula we can use for perimeter of a triangle is:

P = s1 + s2 + s3, where

P is the perimeter,and s1, s2, and s3 are the three sides:

P = 2 + 6 + 10

P = 8 + 10

P = 18

Thus, the perimeter of the triangle is 18 in.

A police radar gun is used to measure the speeds of cars on a highway. The speeds of cars are normally

distributed with a mean of 55 mi/hr and a standard deviation of 5 mi/hr. Roughly what percentage of cars

are driving less than 65 mi/hr? Use the empirical rule to solve the problem. (Round to the nearest tenth of a

percent)

Answers

The solution is : the percentage of cars that are driving less than 45 mi/hr is 2.3%

Here, we have,

Since the speeds of cars are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = speeds of cars

µ = mean speed

σ = standard deviation

From the information given,

µ = 55 mi/hr

σ = 5 mi/hr

The probability that a car is driving less than 45 mi/hr is expressed as

P(x < 45)

For x = 45

z = (45 - 55)/5 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

Therefore, the percentage of cars that are driving less than 45 mi/hr is

0.023 × 100 = 2.3%

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10.
A lunch menu consists of 8 different sandwiches, 5 different soups, and 3 different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a drink?

65 choices
120 choices
165 choices
16 choices

Answers

For the given menu, there are 120 choices for ordering a sandwich, a bowl of soup, and a drink.

Using the Multiplication Principle

Number of choices for ordering:

Sandwich = 8

Soup = 5

Drink = 3

According to the multiplication principle, multiply the number of options for each category to find the total number of choices:

Total choices = (Number of options for Sandwich) * (Number of options for Soup) * (Number of options for Drink)

Total choices = 8 * 5 * 3

Total choices = 120

Therefore, there are 120 choices for ordering a sandwich, a bowl of soup, and a drink from the given menu.

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You pay for a fiction book, a nonfiction book, and a bookmark with three $5 bills. The fiction book costs $5.43. The nonfiction book costs $3.89. Your change is $3.45. How much does the bookmark cost?

Answers

Answer:

2.23

Step-by-step explanation:

You have 3 $5 bills which us 15 dollars. 15 dollars - 5.43 - 3.89 - 3.45 = 2.23 dollars for the bookmark.

To see if you are correct, you can add 3.45, 2.23, 3.89, and 5.43 to get your answer.

The bookmark costed 2.23

We have 3 $5
3 x 5 = 15

Now, we add the cost for both of the books and our remaining change
5.43 + 3.89 + 3.45 = 12.77

And then we subtract to 15
15 - 12.77 = 2.23

We can also check our answer by adding the costs of the bookmark and both books and subtracting it to 15
4.43 + 3.89 + 2.23 = 11.55
15 - 11.55 = 3.45

A hemisphere is on top of a cylinder the radius of the hemisphere is 5 and the height of the cylinder is 8 what is the volume somehelp?

Answers

Answer:

V = π(5^2)(8) + (4/3)π(5^3)

= 200π + (500/3)π = (1,100/3)π

= about 1,151.92 cm^3

1.1.4 Express 25/75 as a percentage.​

Answers

Answer:

Hi

Please mark brainliest ❣️

Step-by-step explanation:

25/75 × 100/1

= 33.3%

Help me please! I’m really struggling on how to do this

Answers

Answer:

12 feet

Step-by-step explanation:

1 inch= 8 feet

1/2 inch= 4 feet

1/4 inch= 2 feet

(2x2)/2= 2  (one triangle)

2x4=8 (rectangle)

2+2=4 +8=12

^2 was added 2 times cause there are 2 triangles

(you did not need a 3rd measurement cause the triangle measurements were equal)

A person places $12500 in an investment account earning an annual rate of 8.3%,
compounded continuously. Using the formula V = Pert, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the nearest
cent, in the account after 12 years.


20 POINTS

Answers

When a person places $12,500 in an investment account earning an annual rate of 8.3%, compounded continuously, based on the formula V = Pe^rt, the amount of money (future value), to the nearest cent, in the account after 12 years, is $33,842.88.

How the future value is determined:

Using the formula A = Pe^rt where V is the future value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest.

In this situation, we can use an online finance calculator to determine the future value compounded continuously as follows:

Principal (P): $12,500.00

Annual Rate (R): 8.3%

Compound (n): Compounding Continuously

Time (t in years): 12 years

Result:

A (Future Value) = $33,842.88

A = P + I where

P (principal) = $12,500.00

I (interest) = $21,342.88

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work out length x in the triangle below
if your answer is a decimal, give it to 1 d.p.

Answers

The length x in the triangle below is 16 m.

What is length?

Length is the distance between two points.

To calculate the length of the triangle, we use the formula below

Formula:

A = absin∅/2...................... Equation 1

Where:

A = Area of the triangle∅ = Included angle of the triangle

From the question,

Given:

a = 15 mb = x∅ = 30°A = 60 m²

Substitute these values into equation 1 and solve for x

60 = (15×x)sin30°/2120 = 15x(1/2)15x = 240x = 240/15x = 16 m

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Please help me understand this problem!

Answers

The requried solution of the given derivative has been given below.

If F(t) is an antiderivative of t⁵, then we have:

F'(t) = d/dt(F(t)) = t⁵

According to the Second Fundamental Theorem of Calculus, we have:

[tex]\int_1^x t^5 dt = F(x) - F(1)[/tex]

Using this formula, we can find [tex]d/dx(\int_1^x t^5 dt)[/tex] as follows:

[tex]d/dx(\int_1^x t^5 dt) = d/dx(F(x) - F(1)) = F'(x) - 0 = t^5[/tex]

Therefore, [tex]d/dx(\int_1^x t^5 dt) = t^5.[/tex]

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9. Find m DF
m
140°
DF:
=
E
44°
20. Find
mZPQR.
131*
m/POR=

Need done asap please show work

Answers

According to the angles between intersecting secant and tangent, the value of

angle DF is 52 degrees

angle PQR = 49 degrees

How to solve for angle DF

The value of angle DF is solved using the angles of intersecting secant out side the circle

The theorem give the formula in the form

44 = 1/2 (140 - DF)

88 = 140 - DF

DF = 140 - 88

DF = 52 degrees

Using intersection of tangents, for the second figure

exterior angle = 1/2 (major arc - minor arc)

major arc = 360 - 131 = 229

PQR = 1/2 (229 - 131)

PQR = 49 degrees

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13. Lindsay was going to visit her grandmother, shop at the mall, and then return home. The route she took was in the shape of a triangle. The distance between each place she visited was 10 miles. What type of triangle is formed by the route she traveled? Explain. answer please answer that question ​

Answers

The answer is equilateral triangle as the distance between all three places is same

The figure below shows a triangle with vertices, a and B on a circle and vertex c outside it. Side ac is tangent to the circle. Side bc is a secant intersecting the circle at point x. What is the measure of angle acb?
1.32
2.60
3.28
4.16

Answers

The measure of angle ACB is half the difference between 180 degrees and the measure of arc AB.

The measure of angle ACB can be determined using the properties of tangents and secants intersecting a circle.

Since side AC is tangent to the circle, angle BAC is a right angle (90 degrees).

According to the tangent-secant theorem, the measure of angle ACB is equal to half the difference between the intercepted arcs AB and AX.

Since angle BAC is a right angle, the intercepted arc AX is a semicircle, which means its measure is 180 degrees. The intercepted arc AB is an arc of the circle and is less than 180 degrees since it is not a full circle.

Therefore, the measure of angle ACB is half the difference between 180 degrees and the measure of arc AB.

To find the exact measure, more information is needed about the length of arc AB or the relationship between the lengths of the sides of the triangle. Without this additional information, we cannot determine the precise measure of angle ACB.

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If you flip two coins 68 times, what is the best prediction possible for the number of times both coins will land on heads?the number of times it will land on tails?

Answers

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.

If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.

What is the probability of getting two heads?

The possible outcomes when two coins are flipped are;

head - head = HH

tail - tail = TT

Head and tail = HT

Tail and head = TH

The probability of getting two heads = 1/4

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;

Expected value = (68 flips) x (1/4 probability of getting HH) = 17

The probability of getting two tails = 1/4

Expected value = 68 x 1/4 = 17

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Determine which set of sides measurements could be used of form a right triangle 14,5,15 3,4,5 9,14,16 5,2,7

Answers

Answer: 14,5,15 is correct

Step-by-step explanation:

A circle with circumference 72π is divided into 10 congruent sectors. Find the area of two sectors. Round to the nearest tenth

Answers



Answer

62.8cm squared……………

Here is a map of an island with cities A, B and C Jeremy drives

Answers

1) The three figure bearing of B from A when B is due East of A is 090°

2) Note that Kenzi drives 60km further than Jafar.

What is bearing?

A) A bearing is the angle in degrees measured clockwise from north in mathematics. Bearings are often specified in three figures. 30° clockwise from north, for example, is generally represented as 030°.

Hence in the above case of option A,  The three figure bearing of B from A when B is due East of A is 090°

B) To find or compute how much further Kenzi drives than Jafar, we need to convert the distances on the map to their real-world distances using the given scale of 1cm to 200km.

So  A to B for Jafar -

Distance from A to B = 2.4cm x 200km/ cm = 480km

Then for  B to C for Kenzi  -

Distance from B to C = (1.2cm + 1.5cm) x 200km/cm

= 2.7cm x 200km/cm

= 540km

So to  determine how much further Kenzi drives compared to Jafar

Kenzi drives 540km - Distance from A to B

= 540km - 480 km = 60km

Therefore, Kenzi drives 60km further than Jafar.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

One candle, in the shape of a right circular
cylinder, has a height of 7.5 inches and a
diameter of 5 inches. What is the volume of the
candle? Round your answer to the nearest
cubic inch.

Answers

Answer:

147

Step-by-step explanation:

V = h * S = h * Pi R^2 = h * Pi * d^2/4 = 7.5 * 3.14 * 25 / 4 = 147.188

Instructions: Find the missing probability.

P(B)=1/2P(A|B)=11/25P(AandB)=

Answers

We can use the formula:

P(A and B) = P(B) x P(A|B)

We are given:

P(B) = 1/2

P(A|B) = 11/25

Substituting these values into the formula, we get:

P(A and B) = (1/2) x (11/25) = 11/50

Therefore, P(A and B) = 11/50.

Solve. |7x-20|=|2x+20|

Answers

To solve the equation |7x - 20| = |2x + 20|, we need to consider two cases based on the absolute values.

Case 1: (7x - 20) = (2x + 20)

Simplifying this equation, we get:

7x - 20 = 2x + 20

Subtracting 2x from both sides:

5x - 20 = 20

Adding 20 to both sides:

5x = 40

Dividing both sides by 5:

x = 8

Case 2: (7x - 20) = -(2x + 20)

Simplifying this equation, we get:

7x - 20 = -2x - 20

Adding 2x to both sides:

9x - 20 = -20

Adding 20 to both sides:

9x = 0

Dividing both sides by 9:

x = 0

Therefore, the solutions to the equation |7x - 20| = |2x + 20| are x = 8 and x = 0.

Please help find the x.

Answers

Answer:

The answer is 64°

Step-by-step explanation:

opposite angles are equal

x=64°

Answer:

X is 64 degrees.

Step-by-step explanation:

X is directly across from 64 degrees. These angles are equal. So are angle y and 18, and angle z and the blank angle at the bottom.

Assessment
What is a brokerage account?
A. An online account used to pay expenses.
B. A deposit account at a financial institution that allows
withdrawals and deposits.
C. An interest-paying deposit account at a financial
institution that provides a modest interest rate.
D. An account used to buy investments like stocks, bonds,
and mutual funds.
5/10

Answers

Answer:

Step-by-step explanation:

A brokerage account is an investment account that allows you to buy and sell a variety of investments, such as stocks, bonds, mutual funds, and ETFs.

Therefore the answer is D

PLEASE I NEED HELP !!!!!

Answers

The weight of a pitaya seed in standard form is [tex]1 \times 10^-^6[/tex]ounce.

In standard form, the weight of a pitaya seed is expressed in scientific notation, where the number is a decimal between 1 and 10, and the exponent is a power of 10. The weight of a pitaya seed is given as [tex]1 x 10^-^3[/tex] ounce, which means that the seed weighs one-thousandth of an ounce.

To write this in standard form, we first convert the number to a decimal between 1 and 10 by moving the decimal point three places to the left. This gives us a decimal of 0.001. The exponent is already in the form of a power of 10, so we can leave it as [tex]10^-^3[/tex]. Thus, the weight of a pitaya seed in standard form is:

[tex]0.001 \times 10^-^3[/tex]

To simplify this expression, we can multiply the decimal and the exponent. This gives us:

[tex]1 x 10^-^6[/tex]

This means that the weight of a single pitaya seed is very small, and it takes many seeds to make up the weight of a whole pitaya fruit.

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