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,

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Related Questions

Which statement about light is FALSE? a Light travels about 300,000 km/second. b Light travels in the form of a wave. c Light from the sun takes about 80 minutes to reach Earth. d Light can travel around Earth 7 times in one second.

Answers

Answer: I believe it’s c

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

it takes 8 minutes, actually. :)

Simplify

-36 + x < 8

Answers

Step-by-step explanation:

add 36 to both sides to cancell out -36

-36+36=0

8+36=44

x<44

so all values for x are less than 44

Hope that helps :)

Please give brainliest

Simplify: 4 [ 2+ 1 ( 47 - 5 ) ÷ 7 ]
pls help asap ! ty !

Answers

32 and it would be useful to use pemdas

At a baseball game, 89% of people attending were supporting the home team, while 11% were supporting the visiting team. If 2314 people attending the game supported the home team, what was the total number of people attending the game?

Answers

Answer:

2600

Step-by-step explanation:

2314 ÷ 89% = 2600

2314 is 89% of 2600.

Need help will give you the brainliest

Answers

Answer:18.4

Step-by-step explanation:add

I need help with this question ​

Answers

what question?????????????????

bae what’s the question

A college student makes
$
2.50
per hour serving tables at a restaurant. The college student also receives an average of
$
6.00
in tips for every table served.

If the college student serves
3
tables each hour, which function,
f
(
x
)
, represents the total amount the college student makes for serving tables for
x
hours?

Answers

Answer:

f

(

x

)

=3

(2.50+

6.00x)

Answer:

B

Step-by-step explanation:

f(x)=3(2.50+6.00x)

pls give Brainliest.

Help ASAP! Use the graph to answer the question

Answers

Answer:second 1

Step-by-step explanation:

Answer:

The blue line models the data points better than the red line. It is because the data points are all close to the line.

Lynn is going to cover the floor with tiles.
Each tile is a rectangle of side 60 cm by 30 cm.
Each tile costs £4.25
Lynn has £400 to spend on tiles.
Show that she has enough money to buy all the tiles she needs. (*)
(5 Points)
300 cm
540 cm

Answers

Answer:

Please check explanations

Step-by-step explanation:

Firstly, we calculate the area of the floor

That is the product of the sides

= 300 * 540 = 162,000 cm^2

What is left is to calculate the area of a tile

Since the tile is also rectangular, the area of each tile will be;

60 * 30 = 1,800 cm^2

Since we have both areas, we can now get the number of tiles needed to cover the floor

We can get this by dividing the area of the floor by the area of a tile

This is;

162,000/1,800 = 90

This means that 90 tiles will cover the floor

The cost of a tile

is £4.25

The cost of 90 tiles will be ;

£4.25 * 90 = £382.5

from here, we can see that the £400 is more than £382.5

So we can conclude that she has enough to spend on tiles

96:120 simply To the least

Answers

Answer:

4:5

Step-by-step explanation:

96:120

simplified:

divide both sides of colon by 24:

4:5

How many terms can 5x+9-4b have

Answers

Answer:

8x

Step-by-step explanation:

The constants are the numbers that are NOT

attached to anything. In the expression, 3x + 2,

(2) is a constant because it is not attached to

anything. The (3) is not a constant because it

is attached to x, and it is actually a coefficient.

8 - 5xt-8х - 5x
how do I solve this?​

Answers

Answer:

[tex]8 - 5xt - 13x[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex]8 - 5xt + ( - 8x - 5x)[/tex]

2) Simplify.

[tex]8 - 5xt - 13x[/tex]

Therefor the answer is 8 - 5xt - 13x.

Evaluate the logarithm.
log 0.00001

Answers

The correct answer is -5.

The logarithm base 10 of 0.00001 is -5.

The logarithm of 0.00001 can be evaluated using the base 10 logarithm, commonly denoted as log10.

In this case, log10(0.00001) is asking "What power of 10 gives us 0.00001?"

To understand this, let's rewrite 0.00001 in scientific notation.

0.00001 can be expressed as 1 x 10⁻⁵, where -5 is the exponent.

Therefore, log10(0.00001) = -5.

This means that 10 raised to the power of -5 equals 0.00001.

Learn more about Logarithm here:

https://brainly.com/question/30226560

#SPJ6

Find the area also if you can do a step by step explanation thanks

Answers

Answer:

Rhombus=60 squared

Step-by-step explanation:

There are two areas right there.

First multiply the 6 and the 5.

6(5)=30 in squared

10(6) for the Rhombus

=60

You only need the area for the Rhombus because that is the entire area, the triangle is just taking up space inside the shape.

A weather station on the top of a mountain reports that the temperature is currently 0 and has been falling at a constant rate of 3 degrees per hour. Find each temperature.

What was the temperature:

1 hour ago? degrees

3 hours ago? degrees

Answers

Answer:

Step-by-step explanation:

hola my friend

I WILL GIVE BRAINILEST IF CORRECT VERY EASY QUESTION
Wendy and Mini earn $49 per week for delivering magazines. Wendy worked for x weeks and earned an additional total bonus of $18. Mini worked for y weeks. Which expression shows the total money, in dollars, that Wendy and Mini earned for delivering magazines?

67x + 49y
49x − 18 + 49y
49x + 18 + 49y
49x + 67y

Answers

Answer:

49x+18+49y

Step-by-step explanation:

Math edge is attatched, I will mark brainliest to answers!

Answers

Answer:

Step-by-step explanation:

Can you guys help me

Answers

Answer:

The area of triangle VZX is 210 cm^2

Step-by-step explanation:

Here, we want to get the measure of the area of triangle VZX

From the given diagram, we have two explicit triangles making up triangle VWX

These are triangles VWZ and VZX

By adding the areas of both triangles, we can get the area of VWX

Mathematically, the area of VZX is the difference between the area of VWX and VZW

To get the area of VZW, we can use the formula for the area of a triangle

We have this as 1/2 * base * height

base = 35 cm and height = 28 cm

The area of VWZ is 1/2 * 35 * 28 = 490 cm^2

The area of triangle VZX is thus;

700 cm^2 - 490 cm^2 = 210 cm^2

ANSWER QUICKLY FOR 15 POINTS!! :,)

Mrs. Gregory’s class is building a model of a farm. They will use a cylindrical oatmeal container to make a portion of the barn. The container is 8 inches tall and has a radius of 2.5 inches.

What is the total surface area of the oatmeal container to the nearest tenth of a square inch?
164.9 square inches
157.1 square inches
39.3 square inches
125.7 square inches

Answers

Answer:

125.7 square inches long

what number is 1/4 of 100

Answers

The number is 25
100/4

A 20-ounce bottle of lotion costs $4.00. How many ounces do you get for each dollar?

Answers

Answer:

You get 5 ounces per dollar

Answer:

You get 5 ounces for each dollar you spend in this deal

Step-by-step explanation:

If you were to put both of these numbers side by side and figure out how many times 4 goes into 20 that would be 5. Therefore you get 5 ounces for each dollar you spend.

Please help 4x - 7 = 8 - 2x

Answers

Answer:

x=5/2

Step-by-step explanation:

4x-7=8-2x

add 7 to both sides

4x=15-2x

add 2x to both sides

6x=15

6/6x=15/6

x=5/2

(for the last part, i just simplify the fraction. 3 goes into 15 and 6)

1
0. Multi-Step Nathanial has a dog walking
business. He charges $3 for every 15 minutes
of walking. How much will Nathanial charge to
walk a dog for one hour?

Answers

Answer:

Nathanial will charge $12

Step-by-step explanation:

If he charges $3 per 15 minutes, one hour is 60 minutes. And 60 divided by 15 is 4 so you do 3x4 because he charges $3 per 15 minutes.

Need step to step answer
(2.7×10^-3) ÷ (9×10^7)​

Answers

Answer:

243,000

Step-by-step explanation:

(2.7×10^-3) ÷ (9×10^7) | Given (thanks for proper formatting :')

(2.7 × 0.001) ÷ (9 × 10,000,000) | Start with exponents

0.0027 ÷ 90,000,000 | Multiply what's in the parenthesis

243,000 | Divide these numbers

WILL MARK BRAINLIEST NO LINKS: If you had a cube with a side length of 4, how can your write the calculations in exponential form?

Answers

The exponential form would be written as 4^3

The perimeter of a rectangular window is 242 cm.
If the length of the window is 66 cm, what is its width?
Width of the window: 0
cm

Answers

Answer:

The width of the window is 176 cm

Step-by-step explanation:

The perimeter is the outside of a shape. If the perimeter is 242 cm and we know the length is 66 cm, we use what we have. We take 242 and subtract it by 66 and get 176 cm

Ashley's rectangular bedroom measures 12 feet by 11 feet. The ceiling is 8 feet
high. Ashley wants to put wallpaper on the walls. What is the surface area of the
four walls of her room?

Answers

11.4

Step-by-step explanation:

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Question 3 (1 point)


What is the domain of the function f(x)=2x+3

?
Question 3 options:


x>0



x>3



x>−3



All real numbers
Question 4 (1 point)


What is the range of the functionf(x)=2x+3

?
Question 4 options:


y>0



y>3



y>−3



All real numbers
Question 5 (1 point)


What is the end behavior of the functionf(x)=2x+3

?
Question 5 options:


As x→−∞, y→∞
and x→∞, y→3

.


As x→−∞, y→−∞
and x→∞, y→−3



Asx→−∞, y→3
and x→∞, y→∞

.


Asx→−∞, y→−3
and x→∞, y→−∞.

Answers

Answer:

3) All real numbers

4) y > 3

5) C) the only choice that ends with a POSITIVE ∞

Answer:

3. All real numbers

4. B. y>3

5. C (the one with the POSITIVE infinity sign.)

I just did the exact same quiz and I got all of the right answers when I did it :)

Which statement is best supported by the information in the box plots?
A. The interquartile range for Orchard G is greater than the interquartile range for Orchard H
B. The median number of baskets harvested from trees in Orchard G is less than the median number of baskets harvested from trees in Orchard H.
C. The minimum number of baskets harvested from trees in Orchard H is less than the minimum number of baskets harvested from trees in Orchard G.
D. The data for Orchard H are more symmetrical than the data for Orchard G.

Answers

Answer:

B is the correct

Step-by-step explanation:

choose as brinliest

A jacket that cost a store $120 was marked up to $168. What percent was the mark up?

Answers

Answer:

48%

Step-by-step explanation:

you have to subtract 168 and 120

Answer:

140%

Step-by-step explanation:

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