What happens to the function f(x)=(x−1)2+1 when it becomes f′(x)=(13x−1)2+1?
It is compressed toward the y-axis.
It is stretched away from the x-axis.
It is compressed toward the x-axis.
It is stretched away from the y-axis.

Answers

Answer 1
I think the answer is the last one
Answer 2

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

Rule for the transformation of a function:  For a function is given by,

          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,

https://brainly.com/question/19279703


Related Questions

The area of a rectangle is 35x - 20. Find the length and width of the triangle. (Hint: Factor completely) Write your answer as a product. Ex: 8(3x-2).

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Answer should be 5(7x-4)
I factored out the greatest common factor which is 5.

Marshallhasalreadyjarred1literofjamandwilljaranadditional7litersofjameveryday.HowmanydaysdoesMarshallneedtospendmakingjamifhewantstojar22litersofjaminall?

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Answer:

thanks for the points, don't forget to drink water

explanation:

give me crown please

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Answer:

slope is  15/5=3

Step-by-step explanation:

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1. 20 squared + 48 squared = 2704
square root of 2704 is 52. Answer: 52 inches.

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square root of 6400 is 80 Answer: 80 inches

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Answer:

I think of having straight line

Three-twelfths of the girls on Jamilia’s softball team missed practice. Which of the following is equal is equal to 3/12?

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3/12=1/4 or 25%. You can simply 3/12 by 3. 3/3=1 and 12/3=4, and therefore: 3/12=1/4.

Help plz. I don't get this.

Answers

Answer:

6/4

Step-by-step explanation:

up 6 and over 4

  °   •  .°•    ✯

  °   •  .°•    ✯   ★ *     °      °·                            

  °   •  .°•    ✯   ★ *     °      °·                             .   • ° ★ •  ☄

  °   •  .°•    ✯   ★ *     °      °·                             .   • ° ★ •  ☄▁▂▃▄▅▆▇▇▆▅▄▃▁▂

Make a triangle to find c, the hypotenuse.

Using the Pythagorean Theorem:

a^2+b^2=c^2

4^2+6^2=c^2

16+36=c^2

52=c^2

7.211102550927=c

7.2~c

can I get help with my homework ​

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1 = scale factor of 2 and x =3

What is the value of X

Answers

Answer:

11=x

Step-by-step explanation:

since the lines are parallel the distances between each section of line is proportional to each other.

5/6=(x-1)/12

multiply both sides by 12

12(5/6)=(x-1)12/12

10=(x-1)

add 1 to both sides

10+1=x-1+1

11=x

I hope that helps :)

I need help on how to get the answer too number 27.

Answers

a^2 + b^2 = c^2
3^2 + 8^2 = c^2
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73 =c^2
take the square root of each side
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Find the value of x.

Answers

Answer:

10

Step-by-step explanation:

7x+5 = 9x -15

5 = 2x -15

2x = 20

x = 10

Fill in the table to convert the units of time from hours to minutes or minutes to hours.
Minutes Hours
60 1
300
4

Answers

Ok so first we need to under stand that 60 minutes is equivalent to 1 hour, by knowing this we should be able to answer the following. Our first box which needs to be filled in asking how many hours are in 300 minutes, well let’s figure this out. So we know that in 60 minutes it will be equivalent to one hours, so in order to find how many minutes are in 300 minutes we would divide 300 by 60 which give a us 5. Therefore causing the second box to me 5 hours. Our next and final box is asking how many hours are in four minutes well this one is a little harder than our previous one but I’ll help you through it. By following the same procedure as we did the previous question we are going to divide 4 by 60 and we know that dividing like so we are going to get a decimal but that’s ok it’s going to give us the answer we need to fill in the box. By dividing like so we should get a long decimal that look that this 0.066666666666667. I am going to simply this down to 0.0667. Causing my last box to be 0.667.
Summary:
second box: 5 hours
Third box: 0.0667 hours
Hope this helps!!!
Please tell me if I have made an error, I enjoy learning from my mistakes:)
Have a great rest of your day❤️

Sketch a graph of the function y = (x + 6)(x- 4) ​

Answers

Step-by-step explanation:

eyoaekzgzegkegkzEGKegkzegkzkegzegkzegkzhekzkehskzFegkzkegzgkzejfszfjsjwfJwfUr

jejejejeje did fr tk rje rjr rjr r

Item 5
Find the area of the circle. Round your answer to the nearest hundredth.



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cm2

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Here’s the link to the answe

:510 around th e cme3 cthulhu.com

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Answer:

Step-by-step explanation:

y = ab^x where 0<b<1 for exponential decay

an example would be y = 3(1/7)^x

Question in photo! answer asap! will give brainliest!

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Answer:

Option B

Step-by-step explanation:

When you put option b in y intercept form, the slope is -3/2 which is the negative reciprocal of  2/3, making the lines perpendicular.

3x + 2y = -4

-3x           -3x

2y = -3x -4

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y = -3/2 -2

Surface area question:

Answers

Answer:

190π (not part of the answer choices)

Step-by-step explanation:

The surface area of a cylinder can be found using the formula below:

[tex]SA=2\pi r^2+\pi dh[/tex] where [tex]r[/tex] is the radius of the base, [tex]d[/tex] is the diameter of the base and [tex]h[/tex] is the height of the cylinder.

Plug in the given values

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Therefore, although this answer isn't one of the choices, the surface area of the cylinder is 190π.

I hope this helps!

What’s the value of x?

Answers

14 sorry if I’m wrong

Answer:

6*15 = 5(x+5)

90 = 5x + 25

65 = 5x

x = 13

Step-by-step explanation:

I've gone ahead and labeled some points.

There is a formula that says PA*PB = PC*PD, this is what you use.  If you would like me to show why this works I would be happy to.

So what we have is PA = 6, PB = 9+6 = 15, PC = 5 PD = 5+x so let;s writ ethe formula with these values

6*15 = 5(x+5)

90 = 5x + 25

65 = 5x

x = 13

EDIT: Here is the explanation for the formula

If you form triangles PCB and PAD you can find angle D and angle B are the same, because they are inscribed angles that intersect the same arc of the circle.  Also angle P is the same on both triangles since they are the same angle, so this means both triangles are similar.

This means DA is similar to BC, AP is similar to CP and PD is similar to PB. Similar sides means if you can multiply one side by a number to get to its similar side, then you can multiply all sides by that value to get all sides of that similar triangle.  

This also means if you divide one side by its similar side you get the scale value, so this means if you do it to two different sets of similar sides you get the same number

[tex]\frac{PA}{PC}=\frac{PD}{PB}\\PA*PB = PC*PD[/tex]

Find the area of the blue shaded figure.
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Answers

area of blue shaded figure = area of big circle minus small circle

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Answers

Answer:

the answer is 66°

Step-by-step explanation:

As it is given that triangle ABC is similar to triangle DEF so

< A = < D ( being corresponding angles of similar triangles)

3x + 18° = 4x + 2°

4x - 3x = 18° - 2°

x = 16°

So now

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Your mom is throwing a huge party for your graduation! Her total budget for the party is $1050. She must pay a fee of $400 to hold your party at Dave & Buster's. She is responsible for paying $50 for each guest so that they can eat and play. How many guests, g, can you invite to your graduation party?​

Answers

Step-by-step explanation:

She has 1050

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Now she has 650 dollars

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X is equal to 19. Hoped this helped

Answer:

z=19

Step-by-step explanation:

Solve the system of equations by graphing.
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some one help me with this the highlighted one is the problem

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Answers

Answer:

I think it is 19 I not really sure

Step-by-step explanation:

o work it out of my paper and I got 19

Answer: The answer to this math question about finding the statement is very true about 2 similar rectangles are being shown here below is B). B) The area of rectangle B is [tex]\frac{1}{9}[/tex] of the area of rectangle A.

Step-by-step explanation: I'm very sorry about that, but I don't have any step-by-step explanation to this math question about finding the statement is very true about 2 similar rectangles are shown here below, so anyways, I hope that my full short given answer without my given step-by-step explanation to your own math question about finding the statement is very true about 2 similar rectangles are being shown here below, please mark me as Brainliest, take care, always be safe, and have a great rest of the day and good night! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

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Answers

Answer:

f(x)^-1=x-2/10

Step-by-step explanation:

Question 6
Find the slope of the line that passes through the pair of points.
(-3, 2), (7, 2)

Answers

Answer:

Slope = 0

Step-by-step explanation:

Given the pair of points: (-3,2) (7,2)

Slope formula: y2-y1/x2-x1

2-2/7-(-3) = 0/10

0/10 = 0

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