Without graphing, describe the transformation from the parent function
f(x) = | x |.

1. y = 5| x |
2. y = 1/3 I x I
3. y = 3| x |

Answers

Answer 1

Answer:

1.  y = 5|x|   ⇒vertical stretch

2. y = ⅓|x|  ⇒vertical compression

3. y = 3|x|   ⇒vertical stretch

Step-by-step explanation:

Given the parent absolute value function, f(x) = |x|:

1) y = 5|x|  

The transformed function, y = a|x|, where |a| > 1, represents the vertical stretch of the parent graph by a factor of a.  

A vertical stretch is a transformation to the parent function where there is an increase in distance between corresponding points of a graph.

Therefore, the absolute value equation, y = 5|x|, represents a vertical stretch of the parent function by a factor of 5. The graph of y = 5|x| is narrower than the parent function, f(x) = |x|.  

2) y = ⅓|x|    

The transformed function, y = a|x|, where 0< |a| < 1, represents the vertical compression of the parent graph by a factor of a.  

A vertical compression is a transformation to the parent function where there is a decrease in distance between corresponding points of a graph.

Therefore, the absolute value equation, y = ⅓|x|, represents a vertical stretch of the parent function by a factor of . The graph of y = ⅓|x| is wider than the parent function, f(x) = |x|.  

 

3) y = 3|x|

Similar to question 1, the absolute value equation, y = 3|x|, represents a vertical stretch of the parent function by a factor of 3. The graph of y = 3|x| is narrower than the parent function, f(x) = |x|.  

Attached are the graphs of the given absolute value functions, where it shows the transformations to the parent function, f(x) = |x|.  

Without Graphing, Describe The Transformation From The Parent Functionf(x) = | X |.1. Y = 5| X | 2. Y
Without Graphing, Describe The Transformation From The Parent Functionf(x) = | X |.1. Y = 5| X | 2. Y
Without Graphing, Describe The Transformation From The Parent Functionf(x) = | X |.1. Y = 5| X | 2. Y

Related Questions

Which of these accurately describes the motion of the train?

Answers

Answer:

C

Step-by-step explanation:

For the first part, a velocity graph would show the constant velocity, and the curve represents the constant negative acceleration, which could be seen on a acceleration graph. The final part after the curve shows the 0 velocity because the position is constant.

Jay buys 60 square feet of tile for $324. Later, he buys another 20 square feet of tile. How much does the extra tile cost?

Answers

40? Sorry I’m not so sure

Sandy planted a tree and wanted to record its growth. The graph shows growth of the
tree over time.
1
The equation for the tree's growth is y =
+ 20.
2x
Select the meaning of the slope and y-intercept from the drop-down menus.

Answers

The given equation of the height of the tree is the equation of a straight line.

The slope is the number of units of growth each time period.The y-intercept is the initial height of the tree.

Reasons:

1. The equation of the tree's growth is presented as follows;

y = 20 + 2·x

The equation of the tree is in the form of the equation of a straight line,

which is, y = m·x + c

Where, by comparison, we have;

m = The slope = 2

c = The y-intercept = 20

y = The height of the tree

x = The time of measurement of the growth of the tree

Therefore;

The slope = The height to which the tree grows within each time period.

Therefore, the tree grows by 2 units of the height each time period of measurement

The y-intercept = The height of the tree at the start of the measurement.

Therefore, the tree was 20 units of the length measurement at the start of the record.

Learn more about the equation of a straight line here:

https://brainly.com/question/20898425

Answer:

Step-by-step explanation:

First Box: In the scenario, the slope represents

the growth rate of the tree per year.

Second Box: In the scenario, the y-intercept represents

the tree's initial height.

Which value for x makes the following equation true?

−2x−4=−6

Answers

Answer:

Step-by-step explanation:

−2x − 4 = −6

−2x − 4 + 4 = −6 + 4

−2x = −2

−2x/-2 = −2/-2

x = 1

The equation is,

→ -2x - 4 = -6

Let's solve for the value of x,

→ -2x - 4 = -6

→ -2x = -6 + 4

→ x = (-2)/(-2)

→ x = 2/2

→ [ x = 1 ]

Thus, the value of x is 1.

help me pls help me ​

Answers

Answer:

Well I’m not sure what Answers do you want

Step-by-step explanation:

1. “Zoe and Toria are going into business. They need 80,000 to start the business. Their investment is 3:5, respectively.

a. What's Zoe & Ares individual investment amounts?

b. What percent did each person invest?

Answers

9514 1404 393

Answer:

  a. Z: 30,000; T: 50,000

  b. Z: 37.5%; T: 62.5%

Step-by-step explanation:

a. The "ratio units" add up to 3+5 = 8, so we can find the investment amounts by multiplying the ratio by 10,000

  Z : T = 3 : 5 = 30,000 : 50,000

Zoe invested 30,000Toria invested 50,000

__

b. Zoe's investment amount is 3/8 of the total, or ...

  3/8 × 100% = 37.5%

Toria's percentage is the rest of it:

  100% -37.5% = 62.5%

  Zoe invested 37.5% of the total; Toria invested 62.5% of the total.

solve for x in equation !! ?

Answers

Pretty sure the answer is d

measurement 6 is 126
find measurement 1 and 4

Answers

Step-by-step explanation:

just stop wasting ur pionts

Maria, Trey, and David sent a total of 65 text messages over their cell phones during the weekend. David sent 2 times as many messages as María, Maria sent 5
fewer messages than Trey. How many messages did they each send?

Answers

Answer:

David= 30

Maria= 15

Trey= 20

Step-by-step explanation:

If David sent 30 messages, then half as as many as that would be 15, the amount that Maria sent. 5 more than what Maria would be what Trey sent, 20.

Question 9 of 10 What is the approximate value of x in the diagram below? (Hint: You will need to use one of the trigonometric ratios given in the table.) 54 sin 36 A 0.588 oos 36 x 0.809 ta 369 0.727 23 36° he A. 18.61 B. 13.52 C. 16.72 D. 28.43 E. 31.64 O F. 39.12​

Answers

9514 1404 393

Answer:

  E.  31.64

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between the legs of a right triangle:

  Tan = Opposite/Adjacent

You are given trig values for 36°. That means ...

  tan(36°) = 23/x

  x = 23/0.727 ≈ 31.64

using agona} John ran 6/7 per day, he already for 8days. what is the total distance that he ran for 8 days ?

Answers

The correct answer is 16

the equation of a line with slope2/5 and y-intercept 1 is

Answers

Step-by-step explanation:

y=(2/5)x + 1

that is the answer

Answer:

y=2/5x+1

Step-by-step explanation:

y=mx+b

m=2/5

b=1

Hope this helps :)

At a high school, the probability that a student is a senior is 0.20. The
probability that a student plays a sport is 0.15. The probability that a student
is a senior and plays a sport is 0.05.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
0.25
0.15
0.05
0.33

Answers

Answer:

0.05

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

Got it right

1/8 of a pumpkin pie has 379 calories. How many calories
are in the whole pie?

Answers

Answer:

379*8

Step-by-step explanation:

1. 300*8=2400

2.70*8 = 560

3. 9*8=72

3032

Is this correct way to solve the problem?
5(2x-2)=30
10x-1030
10x=30+10
10x=40
(-10x)=(40)
x=-4
help me plz

Answers

Answer:

10x=40

x=40/10

x=4

4 is the answers, not -4

Step-by-step explanation:

pls mark as brainliest

What's the constant in 12n + 7 +13k⁴ + 4+ 39z​

Answers

Answer:

7, 4 or 11

Step-by-step explanation:

     No matter what n, k, or z is, 7 + 4 will always be constant. If you need to go farther, 7 + 4 is 11.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

What is the distance between the two points (4,7) and (4, -2)?
a. 5
12.04
b. 9
d. 12.53
C.

Answers

The answer is nine which i think is supposed to be c

Answer:

9 units

Step-by-step explanation:

Given two points:

(4, 7) and (4, - 2)

The distance between them is the difference of y- coordinates since x- coordinates are same:

7 - (- 2) = 7 + 2 = 9

This graph gives Selma's distance from home over time What does the slope of the line show in this situation? 20 18 16 Select from the drop-down menus to correctly complete each statement 14 12 Distance from home (miles) 100 For this situation, the slope of the line represents 81 60 Choose 40 20 The slope is Choose... which means that Selma's distance 0 from home Choose... by Choose... miles per hour.​

Answers

Answer:

The amount Selma's distance from home changes per unit of time.

The slope is 38, which means that Selma's distance from home increases by 38 miles per hour.

Step-by-step explanation:

I just took the the test in k12 and I got it right.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. Selma's distance from home increases by 38 miles per hour.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points from graph are (2, 91) and (4,167)

x₁=2,y₁=91,x₂=4, y₂=167

Substitute in the formula

167-91/4-2

76/2

38

The amount Selma's distance from home changes per unit of time.

So slope is 38, which means that Selma's distance from home increases by 38 miles per hour.

Hence Selma's distance from home increases by 38 miles per hour.

To learn more on slope of line click:

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Please help please help please help please help

Answers

Answer:

2  ,   3

Step-by-step explanation:

Find the number of ways all 9 letters of the word EVERGREEN can be arranged if (i) there are no restrictions, (ii) the first letter is R and the last letter is G, (iii) the Es are all together. Three letters from the 9 letters of the word EVERGREEN are selected. (iv) Find the number of selections which contain no Es and exactly 1 R. (v) Find the number of selections which contain no Es.​

Answers

The word EVERGREEN can be arranged in the following manner.

What is Arrangement?

The number of possible arrangements or orders for a set of items is known as an arrangement number, also known as a permutation number or just a permutation.

Step 1: When there are no restrictions

The letter EVERGREEN has 9 letter. So, the total arrangements will be 9!.

But letter 'E', 'R' are repeating 4 times and 2 times respectively.

Thus, total arrangements becomes 9!/(4!×2!) =  7560.

Step 2: When the first letter is R and the last letter is G

As, first and last letter are fixed for R and g respectively.

Thus the total positions left are 7! with  'E', 'R' are repeating 4 times and 2 times respectively.

Thus, total arrangements becomes 7!/(4!×2!) =  105.

Step 3: When the Es are all together. Three letters from the 9 letters of the word EVERGREEN are selected.

The total combination for arrangement is 7560.

But when all 4 E's are kept together its gives 4! = 24.

Therefore, the total combination becomes 7560×120 = 181440.

Step 4: When the number of selections which contain no Es and exactly 1 R.

As, no E and 1 R is not to be taken which left 5 positions with no repetitions of letter

Thus, the total combination becomes 4! = 24.

Step 5: The number of selections which contain no Es.​

The total letter left after the removal of all 4 E's is 5 with times repetition of R.

Therefore, the total combination will be 5!/2! = 60.

To know more about permutation and combinations, here

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please answer it fast .......^-^......​

Answers

Answer:

990- YES, YES, NO,YES, YES, NO, YES, YES, YES

1586- YES, NO, NO, NO, NO, NO, NO, NO, NO

275- NO, NO, NO, YES, NO, NO, NO, NO, YES

6686- YES, NO, NO, NO, NO, NO, NO, NO, NO

639210- YES, YES, NO, YES, YES, NO, NO, YES,YES

429714- YES, YES, NO, NO, YES, NO, YES, NO, NO

2856- YES, YES, YES, NO, YES, YES, NO, NO, NO

3060- YES, YES, YES, YES, YES, NO, YES, YES, NO

406839- NO, YES, NO, NO, NO, NO, NO, NO, NO

Step-by-step explanation:

hope this helped<3

Each week, Christian earns $x fixing bicycles and receives $10 as his allowance.
To find how much he will earn in total over 2 weeks, Christian calculates the following:
x + 10 + x + 10
What is another way Christian can calculate how much he will earn in total over the 2 weeks?
Drag and drop the equivalent expression in the box.

Answers

Answer:

2(x+10)

Step-by-step explanation:

x + 10 + x + 10 is the same as 2 times the expression x + 10

This can be written as 2(x+10)

-Chetan K

Answer: 2(x+10)

Step-by-step explanation:

x + 10 + x + 10 is the same as 2 times the expression x + 10

This can be written as 2(x+10)

Factor -4 out of -8k - 12

Answers

Answer:

-4(2k + 3)

Step-by-step explanation:

Factoring is just dividing the whole thing by that

So -8k - 12 becomes -4(2k + 3)

How many hours in a day?​

Answers

Answer:24 hours are in a day

Suppose a population is of size N is 1,000,000. Compute the correction factor for the SE of the sample mean, when the sample size, n, is equal to 1,000; 10,000; and 100,000.

Answers

Answer:

90081???

Step-by-step explanation:

can someone please help!!!

Answers

Answers:

System 1:  x = 3 and y = -5System 2: x = 1 and y = 2

==========================================================

Explanation:

For now, let's focus on system 1.

We have identical copies of "2y" in each equation, which means that if we were to subtract the equations straight down, then the y terms cancel out. That allows us to solve for x.

The x terms subtract to 7x-x = 6xThe y terms subtract to 0 and go awayThe right hand sides subtract to 11 minus (-7) = 11-(-7) = 11+7 = 18

After doing those subtractions, we have the new equation 6x = 18 which solves to x = 3. Divide both sides by 6 to isolate x.

Once we know x, we can find out y.

7x+2y = 11

7(3)+2y = 11

21+2y = 11

2y = 11-21

2y = -10

y = -10/2

y = -5

or we can say

x+2y = -7

3+2y = -7

2y = -7-3

2y = -10

y = -10/2

y = -5

We should lead to the same y value either way. This helps confirm we have the correct x value.

Overall, the solution to system 1 is (x,y) = (3, -5)

----------------------------

Now onto system 2.

Unfortunately, we don't have identical y terms this time. But what we can do is double everything in the second equation to go from -x+y = 1 to -2x+2y = 2.

The new equivalent system is

[tex]\begin{cases}7x+2y = 11\\-2x+2y = 2\end{cases}[/tex]

Now we have the same situation as before: Subtract straight down, solve for x.

The x terms subtract to 7x-(-2x) = 7x+2x = 9xThe y terms go away when subtractingThe right hand sides subtract to 11-2 = 9

So we have 9x = 9 and that solves to x = 1.

We'll use this x to find the y value.

7x+2y = 11

7(1)+2y = 11

7+2y = 11

2y = 11-7

2y = 4

y = 4/2

y = 2

Or you could pick on the second equation

-x+y = 1

-1+y = 1

y = 1+1

y = 2

Oliver and Eva are reading the same book. At the beginning of the month, Oliver was on page 43 and Eva was on page 21. Oliver will read 3 pages per day and Eva will read 5 pages per day. Let O represent the page of the book that Oliver is on at the end of tt days into the month, and let E represent the page of the book that Eva is on at the end of tt days into the month. Write an equation for each situation, in terms of t, and determine after how many days, t, Oliver and Eva will be on the same page of the book.

O=
E=
Answer: ____ days per page
days
pages
pages per day


when you answer the question plz put it how i seated put with the answer next to them with the answer just put one of them

Answers

The number of days that it will take Oliver and Eva to be on the same page of the book is 11 days.

Oliver's equation = 43 + 3tEva's equation = 21 + 5t

Based on the information given, the equation to solve the question will be:

43 + 3t = 21 + 5t

Collect like terms

5t - 3t = 43 - 21

2t = 22

t = 22/2

t = 11

Therefore, it'll take them 11 days.

Read related link on:

https://brainly.com/question/25700149

Prove that y = arcsinx on the root of 1 x squared satisfies the equality (1 - x squared)y' - xy = 1

Answers

Answer:

Step-by-step explanation:

The first part is a computation, combining the chain and quotient rules. We know that the derivative of f(x)=arcsin(x) is 1/sqrt(1-x2), and we need to differentiate the denominator. We use the chain rule: let u=1-x^2, and v=sqrt(u). Then du/dx=-2x, and dv/du = 1/(2 sqrt(u)). Combining, dv/dx=-x/sqrt(1-x2). Now, we put everything together using the quotient rules: y' = (f'v-v'f)/v2. Multiplying by (1-x2)=v2, we obtain (1-x2)y'= sqrt(1-x2)/sqrt(1-x2) +xarcsin(x)/sqrt(1-x2), which we can rewrite as 1+xy, as desired. Let's call this equation ().

We prove the second part by induction on n. To do this, we need two things: a base case, that is, proving the case n=0, and an inductive step, where we prove case n+1 from case n. To do the base case, we differentiate both sides of equation (*) that we proved above: d/dx ((1-x2 )y') = d/dx (xy+1 ). On the left-hand side, we get -2xy'+(1-x2 )y'', using the product rule, and on the right-hand side, we get xy'+y, similarly. Rearranging, we've proven the case n=0 of the desired statement. The inductive step is similar: we differentiate the equation from case n using the chain rule. Each of the first two terms splits into two: respectively, -2xy(n+2)+(1-x2)y(n+3), and (2n+3)y(n+1)+(2n+3)xy(n+2). If we combine the terms with the same numbers of derivatives on y, we get (1-x2)y(n+3)-(2n+5)xy(n+2)-((n+1)2+2n+3)y(n+1)=0 -which is what we wanted to prove, since ((n+1)2+2n+3) simplifies to (n+2)2.

i need help plz the question is in the image

Answers

Answer:

46<h

Hopes this helps :)

WHAT IS THE INVERSE FUNCTION ANSWER USING STEPS: y=-3/4x-15

Answers

Answer:

What is the inverse of f(x)=−3x+5 ?

f ^−1(x)=−3x+5

f ^−1(x)=1/3x−53

f ^−1(x)=−1/3x+53

f ^−1(x)=3x−5

Second question

What is the inverse of the function?

g(x)=−4/3x+2

g−1(x)=4/3x−2

g−1(x)=−4/3x−2

g−1(x)=−3/4x+32

g−1(x)=3/4x+23

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