Write the equation of a function whose parent function, F(x)=x+5,is shifted 3units to the right

     Option (2). function f will be stretched away from the x-axis to form the image function f'.

          f(x) = a(x - h)² + k

          If a > 1, graph of the function will be stretched vertically (towards  

          y-axis or away from the x-axis).

          If 0 < a < 1, graph of the function will be compressed vertically

          (towards x-axis or away from the y-axis)

Function given in the question,

f(x) = (x - 1)² + 1

Transformed function → f'(x) = (13x - 1)² + 1

                                        [tex]f'(x)=13(x-\frac{1}{13})^2+1[/tex]

By applying rule of the transformation,

a = 13 and 13 > 1

Therefore, function will be stretched vertically away from the x-axis.

      Hence, Option (2) will be the answer.

Learn more about the transformations here,

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Answer:

Step-by-step explanation:

Step-by-step explanation:

1 rst. 2 x2-5x-15 da 18 rest

Answer:

2) m∡1 = 100°

3) m∡2 = 40°

4) TD

5) m∡1 = 67°

Step-by-step explanation:

Answer:

Consisting of billions of galaxies

Step-by-step explanation:

Answer:

when x=30, y = -21

Step-by-step explanation:

x = k/y

x = 42 y = -15

x = k/y

42 = k/-15

Cross product

42 * -15 = k

-630 = k

k = - 630

Find y when x=30

x = k/y

30 = -630/y

Cross product

30 * y = - 630

30y = - 630

y = - 630/30

y = -21

when x=30, y = -21

Answer:

The answer is $22.77.

Step-by-step explanation:

15%=$2.97

7% tax= $1.30

18.50+1.30=19.80

2.97+19.80=22.77

Total: $22.77

Answer:

yeah, the selected is correct

Step-by-step explanation:

distance is...

2 and 2 square root

Answer:

This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.

One potential confusion students may have follows from the subtle difference between what the car is doing and the idea of slope as the ratio between the change in vertical distance on the graph and the change in horizontal distance on the graph. Because the car is traveling one mile on a down-hill slope, the situation could be represented as a right triangle with a hypotenuse of 5,280 ft and a leg of 250 ft; using the Pythagorean Theorem they would find that the other leg is approximately 5,274 ft. Following through on this interpretation, a student might conclude that the car travels a horizontal distance of approximately 5,274 ft for every 250 ft in vertical distance and arrive at a slope of approximately -0.047. While this is, in some sense, the slope of the hill, it is not the slope of the function as described. This interpretation yields numbers that are very close to the situation described in the task, yet conceptually different since the distance traveled by the car would now be expressed in terms of horizontal distance traveled as opposed to distance along the slope of the hill to compute the elevation. If students do indeed pursue this line of reasoning, the task provides an opportunity to compare and contrast the graph of the function and what it represents with a drawing of the hill and the vertical and horizontal distances traversed with each mile down the slope.

Step-by-step explanation:

From the given function in terms of D the elevation of the car above sea

level can be determined.

Responses:

Given:

The function that gives the elevation of the car above sea level, from the top of the hill is given as follows;

Elevation above sea level = 7500 - 250·D

Where;

0 ≤ D ≤ 6

Required:

The meaning of the slope and intercepts of the graph of the function.

Solution:

From the given linear function, of the elevation of the car, we have;

Learn more about linear functions here:

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Answer:

There is no set length for the movie, but usually they're about 2 1/2 hrs so probably 10:55?

Answer:

x = sqrt(147)

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem.

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse.

x^2 +7^2 = 14^2

x^2 +49 = 196

Subtract 49 from each side

x^2 = 147

Take the square root of each side

sqrt(x^2) = sqrt(147)

x = sqrt(147)

Answer:

[tex]7\sqrt{3}[/tex] or 12.12

Step-by-step explanation:

The pythagorean theorem states that a^2 + b^2 = c^2, with a and b representing the legs and c representing the hypotenuse.

7^2 + x^2 = 14^2

49 + x^2 = 196

x^2 = 147

x = [tex]7\sqrt{3}[/tex] or 12.12

Answer:

the answer is C

Step-by-step explanation:

You would take and the y axis would equal x since the m is 1 it would just be x and then since you have the 4 you would just add it to the y=x and then it would be y=x+4

Given:

The expression is

[tex](-8)^3\cdot (-8)^4[/tex]

To find:

The expression in repeated multiplication form and then write the expression as a power.

Solution:

We have,

[tex](-8)^3\cdot (-8)^4[/tex]

The repeated multiplication form of this expression is

[tex]=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)][/tex]

[tex]=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex]

Clearly, (-8) is multiplied seven times by itself. So,

[tex]=(-8)^7[/tex]

Therefore, the repeated multiplication form of the given expression is [tex](-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex] and the expression as single power is [tex](-8)^7[/tex].

here is the proportion I used to get the answer. hopefully this helps

Answer:

3 hours

Step-by-step explanation:

The rent of the bicycle comes with a charge of:

Initial deposit = AED 80

cost per hour = AED 22

If Majid pays AED 146, then;

AED 146 - AED 80 = AED 66

Given that the charge per hour is AED 22, then to determine the number of hours that Majid can ride;

number of hours = [tex]\frac{AED 66}{AED 22}[/tex]

                            = 3

Majid would be able to ride the bicycle for 3 hours when he pays AED 146.

Answer:

The square root of -16 is 4 i

Answer:

You can't but if it was 16, not -16 it will be 4.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.5

Hope that helps!

Answer:

1.5

Step-by-step explanation:

......................

Answer: the answer is 8 and 3

Step-by-step explanation:

factors are numbers that can be multipiled together to find a whole number. since 8 and 3 are being multiplied together to get 24, 8 and 3 are factors of 24.

I hope this helps ! good luck

Answer:

100 increased by 99% is 199

Answer: 199

Step-by-step explanation: i asked siri

Answer:

40 papers

Step-by-step explanation:

6 x 10 = 60

100- 60 = 40

Answer:

(3i+5)+(2-6i)

⇒ 3i+5+2-6i

⇒3i-6i+5+2

⇒-3i+7

The simplified form of (3i+5)+(2-6i) will be -3i+7

Answer:

b=6/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

cos α = 8/17

Apply Pythagoras theorem for triangle ,

Let get unknown side of triangle is y

17^2 = 8^2 + y^2

17^2 - 8^2 =  y^2

225 = y^2

y = sqrt(225)

y = 15

tan α = 15/8

Step-by-step explanation:

Answer:

The correct answer is 8/15 on edg

Answer:

19 days and 17 hours

Step-by-step explanation: